## 计算机代写|图像处理代写Image Processing代考|GPY470

statistics-lab™ 为您的留学生涯保驾护航 在代写图像处理Image Processing方面已经树立了自己的口碑, 保证靠谱, 高质且原创的统计Statistics代写服务。我们的专家在代写图像处理Image Processing代写方面经验极为丰富，各种代写图像处理Image Processing相关的作业也就用不着说。

• Statistical Inference 统计推断
• Statistical Computing 统计计算
• Advanced Probability Theory 高等楖率论
• Advanced Mathematical Statistics 高等数理统计学
• (Generalized) Linear Models 广义线性模型
• Statistical Machine Learning 统计机器学习
• Longitudinal Data Analysis 纵向数据分析
• Foundations of Data Science 数据科学基础

## 计算机代写|图像处理代写Image Processing代考|Material Selection and Contents

This book focuses on (narrowly) IP (refer to Zhang 2017a) and selects seven types of technical fields and directions that are currently receiving widespread attention and are commonly used in many applications for introduction. They are as follows: (i) Image de-noising, (ii) Image de-blurring, (iii) Image repairing, (iv) Image de-fogging, (v) Image reconstruction from projection, (vi) Image watermarking, and (vii) Image super-resolution. Related terms appearing in the book can be found in (Zhang 2021).

Each chapter focuses on one type of technology. The following summarizes the contents of these seven chapters separately:

Chapter 2 introduces image denoising technology. Based on the analysis of common noise types and characteristics, it first summarizes some typical methods based on image filtering to eliminate noise and then discusses the selective filtering framework that can specifically eliminate different types of noise. It also introduces the switching median filtering methods and their improvements that have received a lot of research recently. Finally, some recent developments and further research are included.

Chapter 3 introduces image deblurring technology. After explaining the traditional image deblurring technology, the estimation of motion blur kernel with the help of a neural network and the deblurring method for low-resolution images are discussed. Finally, some recent developments and further research are included.

Chapter 4 introduces image inpainting technology. First, the origin of the name is explained, and then an algorithm combining sparse expression, a weighted sparse nonnegative matrix factorization algorithm and a context-driven hybrid method are introduced. Some recent developments have been introduced. Finally, some recent developments and further research are included.

Chapter 5 introduces the image defogging technology. First, it introduces the typical dark channel priori defogging algorithm and discusses some improvement techniques for its shortcomings. It also introduces the algorithm that focuses on reducing the distortion and the subjective and objective evaluation of the dehazing effect. Some recent developments have been introduced. Finally, some recent developments and further research are included.

## 计算机代写|图像处理代写Image Processing代考|Structure and Arrangement

The styles of the following chapters of this book are relatively consistent. At the beginning of each chapter, in addition to the introduction of the basic concepts and overall content, some application fields and occasions of the corresponding technologies are listed, which are reflected in the idea of application services; there is also an overview of each section to grasp the context of the whole chapter.

There are some similarities in the arrangement and structure of the body content of each chapter. Each chapter has multiple sections, which can be divided into the following three parts from beginning to end (corresponding to the three levels in Figure 1.14).

1. Principle and technology overview
The first section at the beginning of each chapter has the contents as in typical textbooks. It introduces the principle, history, use, method overview and development of the image technology. The goal is to give more comprehensive and basic information (a lot of cxamples and demonstrations can be found in Zhang (2011)), most of which come from professional textbooks (refer to (Zhang 2017a)).
2. Description of specific technical methods
The next few sections in the middle of each chapter have the contents combined from textbooks and monographs. They introduce several related typical technologies, which are described in detail in terms of methods. The goal is to give some ideas that can effectively and efficiently solve the problems faced by this type of image technology and provide solutions for practical applications. These sections can have a certain progressive relationship or a relatively independent parallel relationship. Many contents are mainly extracted from the literature in journals or conference papers. Most of them are followed up and researched, but they have not been written into professional textbooks or books.
1. Introduction to recent developments and directions
The last section of each chapter is more research-oriented. It is based on the analysis and review of relevant new documents in some important journals or conference proceedings in recent years. The goal is to provide some of the latest relevant information on focusing techniques and to help understand the progress and trends in the corresponding technology.
The arrangement of the main text in sections of each chapter is shown in Table 1.5.
From the perspective of understanding the technical overview, one can only look at the sections of the principle introduction. If one wants to solve practical problems, one needs to learn some typical techniques. To master the technology more deeply, one can also refer to the recent progress/trends and look at more references.

# 图像处理代考

## 计算机代写|图像处理代写Image Processing代考|Structure and Arrangement

1. 原理与技术概述
每章开头的第一节内容与典型教材相同。介绍了图像技术的原理、历史、用途、方法概述和发展。目标是给出更全面、更基础的信息（Zhang（2011）中可以找到很多例子和演示），其中大部分来自专业教科书（参见（Zhang 2017a））。
2. 具体技术方法
的说明 每章中间接下来的几节是结合教材和专着的内容。他们介绍了几个相关的典型技术，并从方法的角度进行了详细的描述。目的是给出一些思路，能够有效、高效地解决这类图像技术所面临的问题，为实际应用提供解决方案。这些部分可以有一定的递进关系，也可以是相对独立的平行关系。许多内容主要摘自期刊或会议论文中的文献。其中大部分被跟踪研究，但没有被写入专业的教科书或书籍。
3. 最近的发展和方向介绍
每章的最后一节更偏向于研究。它是在对近年一些重要期刊或会议论文集中的相关新文献进行分析和梳理的基础上得出的。目的是提供一些聚焦技术的最新相关信息，帮助了解相应技术的进展和趋势。
各章各节正文编排见表1.5。
从理解技术概述的角度来看，只能看原理介绍部分。要想解决实际问题，就需要学习一些典型的技术。想要更深入地掌握技术，也可以参考最近的进展/趋势，多看看参考资料。

## 有限元方法代写

tatistics-lab作为专业的留学生服务机构，多年来已为美国、英国、加拿大、澳洲等留学热门地的学生提供专业的学术服务，包括但不限于Essay代写，Assignment代写，Dissertation代写，Report代写，小组作业代写，Proposal代写，Paper代写，Presentation代写，计算机作业代写，论文修改和润色，网课代做，exam代考等等。写作范围涵盖高中，本科，研究生等海外留学全阶段，辐射金融，经济学，会计学，审计学，管理学等全球99%专业科目。写作团队既有专业英语母语作者，也有海外名校硕博留学生，每位写作老师都拥有过硬的语言能力，专业的学科背景和学术写作经验。我们承诺100%原创，100%专业，100%准时，100%满意。

## MATLAB代写

MATLAB 是一种用于技术计算的高性能语言。它将计算、可视化和编程集成在一个易于使用的环境中，其中问题和解决方案以熟悉的数学符号表示。典型用途包括：数学和计算算法开发建模、仿真和原型制作数据分析、探索和可视化科学和工程图形应用程序开发，包括图形用户界面构建MATLAB 是一个交互式系统，其基本数据元素是一个不需要维度的数组。这使您可以解决许多技术计算问题，尤其是那些具有矩阵和向量公式的问题，而只需用 C 或 Fortran 等标量非交互式语言编写程序所需的时间的一小部分。MATLAB 名称代表矩阵实验室。MATLAB 最初的编写目的是提供对由 LINPACK 和 EISPACK 项目开发的矩阵软件的轻松访问，这两个项目共同代表了矩阵计算软件的最新技术。MATLAB 经过多年的发展，得到了许多用户的投入。在大学环境中，它是数学、工程和科学入门和高级课程的标准教学工具。在工业领域，MATLAB 是高效研究、开发和分析的首选工具。MATLAB 具有一系列称为工具箱的特定于应用程序的解决方案。对于大多数 MATLAB 用户来说非常重要，工具箱允许您学习应用专业技术。工具箱是 MATLAB 函数（M 文件）的综合集合，可扩展 MATLAB 环境以解决特定类别的问题。可用工具箱的领域包括信号处理、控制系统、神经网络、模糊逻辑、小波、仿真等。

## 计算机代写|图像处理代写Image Processing代考|ECE6123

statistics-lab™ 为您的留学生涯保驾护航 在代写图像处理Image Processing方面已经树立了自己的口碑, 保证靠谱, 高质且原创的统计Statistics代写服务。我们的专家在代写图像处理Image Processing代写方面经验极为丰富，各种代写图像处理Image Processing相关的作业也就用不着说。

• Statistical Inference 统计推断
• Statistical Computing 统计计算
• Advanced Probability Theory 高等楖率论
• Advanced Mathematical Statistics 高等数理统计学
• (Generalized) Linear Models 广义线性模型
• Statistical Machine Learning 统计机器学习
• Longitudinal Data Analysis 纵向数据分析
• Foundations of Data Science 数据科学基础

## 计算机代写|图像处理代写Image Processing代考|Half-Tone Output Technology

To further understand the relationship between image spatial resolution and amplitude resolution and image visual quality, let’s look at the half-tone technology and dithering technology commonly used in image printouts. Their principles are also very helpful for understanding the concept of images and pixels.
1.1.4.1 Half-Tone Output Technology
General printing equipment can only directly output binary images. For example, the grayscale output of a laser printer has only two levels (either printing, outputting black; or not printing, outputting white). To output a grayscale image on a binary image output device and maintain its original grayscale level, a technique called half-tone output is often used.
Half-tone output technology can be regarded as a technology that converts grayscale images into binary images. It converts various gray scales in the intended output image into a binary point mode so that the grayscale image can be output by a printing device that can only directly output binary points. At the same time, it takes advantage of the integrated characteristics of the human eye, by controlling the form of the output binary point pattern (including number, size, shape, etc.) to give people a visual sense of multiple gray levels. In other words, the image output by the half-tone output technology is still a binary image at a very fine scale, but due to the spatial local averaging effect of the eyes, what is perceived is a grayscale image at a coarser scale. For example, in a binary image, the gray level of each pixel is only white or black, but from a certain distance, the unit perceived by the human cyc is composed of multiple pixcls, then the gray level perccived by the human eye is the average gray level of all pixels in this unit (proportional to the number of black pixcls).

Half-tone output technology is mainly divided into two types: amplitude modulation (AM) technology and frequency modulation (FM) technology, which will be introduced separately below.

## 计算机代写|图像处理代写Image Processing代考|Dithering Technology

Half-tone output technology improves the resolution of the image amplitude by reducing the spatial resolution of the image or sacrificing the number of spatial points of the image to increase the number of gray levels of the image. It can be seen from the above discussion that if one wants to output an image with more gray levels, the spatial resolution of the image will be greatly reduced; if one wants to maintain a certain spatial resolution, the output gray level will be relatively small. That is, if one wants to preserve the spatial details, the number of gray levels cannot be too much. However, when the gray level of an image is relatively small, the visual quality of the image will be relatively poor, such as the appearance of false contours. To improve the quality of the image, dithering technology is often used, which improves the display quality of the quantized coarse image by adjusting or changing the amplitude value of the image.

Dithering can be achieved by adding a random small noise $d(x, y)$ to the original image $f(x, y)$. Since the value of $d(x, y)$ has no regular relationship with $f(x, y)$, it can help eliminate false contours in the image caused by insufficient quantization.

A specific method of dithering is as follows. Let $b$ be the number of bits in the image display, then the value of $d(x, y)$ can be obtained with uniform probability from the following 5 numbers: $-2^{(6-b)},-2^{(5-b)}, 0,-2^{(5-b)}$, and $2^{(6-b)}$. Adding the $b$ most significant bits of such a random small noise $d(x, y)$ to $f(x, y)$ provides the final output pixel values.

Figure $1.10$ shows a set of examples of dithering. Figure $1.10$ a is a part $(128 \times 128)$ of an original image with 256 gray levels (Figure 1.1a); Figure 1.10b shows the output effect of half-tone printing at the same size as the original image, by using the $3 \times 3$ half-tone mask. Since there are only 10 gray levels now, there are obvious false contour phenomena in regions where the gray-level change is relatively slow, such as the face and shoulders (the original continuously changing gray levels seem to have sharply changed gray levels now). Figure $1.10 \mathrm{c}$ is the result of adjusting the original image using dithering technology, and the superimposed dithering value is evenly distributed in the interval $[-8,8]$; Figure 1.10d shows the output effect of half-tone printing of the same size image after the dithering technology is used for improvement. The false contour phenomenon has been amended.

# 图像处理代考

1.1.4.1 半色调输出技术

## 有限元方法代写

tatistics-lab作为专业的留学生服务机构，多年来已为美国、英国、加拿大、澳洲等留学热门地的学生提供专业的学术服务，包括但不限于Essay代写，Assignment代写，Dissertation代写，Report代写，小组作业代写，Proposal代写，Paper代写，Presentation代写，计算机作业代写，论文修改和润色，网课代做，exam代考等等。写作范围涵盖高中，本科，研究生等海外留学全阶段，辐射金融，经济学，会计学，审计学，管理学等全球99%专业科目。写作团队既有专业英语母语作者，也有海外名校硕博留学生，每位写作老师都拥有过硬的语言能力，专业的学科背景和学术写作经验。我们承诺100%原创，100%专业，100%准时，100%满意。

## MATLAB代写

MATLAB 是一种用于技术计算的高性能语言。它将计算、可视化和编程集成在一个易于使用的环境中，其中问题和解决方案以熟悉的数学符号表示。典型用途包括：数学和计算算法开发建模、仿真和原型制作数据分析、探索和可视化科学和工程图形应用程序开发，包括图形用户界面构建MATLAB 是一个交互式系统，其基本数据元素是一个不需要维度的数组。这使您可以解决许多技术计算问题，尤其是那些具有矩阵和向量公式的问题，而只需用 C 或 Fortran 等标量非交互式语言编写程序所需的时间的一小部分。MATLAB 名称代表矩阵实验室。MATLAB 最初的编写目的是提供对由 LINPACK 和 EISPACK 项目开发的矩阵软件的轻松访问，这两个项目共同代表了矩阵计算软件的最新技术。MATLAB 经过多年的发展，得到了许多用户的投入。在大学环境中，它是数学、工程和科学入门和高级课程的标准教学工具。在工业领域，MATLAB 是高效研究、开发和分析的首选工具。MATLAB 具有一系列称为工具箱的特定于应用程序的解决方案。对于大多数 MATLAB 用户来说非常重要，工具箱允许您学习应用专业技术。工具箱是 MATLAB 函数（M 文件）的综合集合，可扩展 MATLAB 环境以解决特定类别的问题。可用工具箱的领域包括信号处理、控制系统、神经网络、模糊逻辑、小波、仿真等。

## 计算机代写|图像处理代写Image Processing代考|COMP345

statistics-lab™ 为您的留学生涯保驾护航 在代写图像处理Image Processing方面已经树立了自己的口碑, 保证靠谱, 高质且原创的统计Statistics代写服务。我们的专家在代写图像处理Image Processing代写方面经验极为丰富，各种代写图像处理Image Processing相关的作业也就用不着说。

• Statistical Inference 统计推断
• Statistical Computing 统计计算
• Advanced Probability Theory 高等楖率论
• Advanced Mathematical Statistics 高等数理统计学
• (Generalized) Linear Models 广义线性模型
• Statistical Machine Learning 统计机器学习
• Longitudinal Data Analysis 纵向数据分析
• Foundations of Data Science 数据科学基础

## 计算机代写|图像处理代写Image Processing代考|IMAGE BASICS

First, some basic concepts and terminology related to images are reviewed.
1.1.1 Image Representation and Display
Let’s first introduce how to represent and display images.
1.1.1.1 Images and Pixels
The objective world is three-dimensional (3-D) in space, but the image obtained from the objective scene is generally two-dimensional (2-D). An image can be represented by a 2-D array $f(x, y)$, where $x$ and $y$ represent the position of a coordinate point in the 2-D space $X Y$, and $f$ represents the image value of a property $F$ at a certain point $(x, y)$. For example, $f$ in a grayscale image represents a gray value, which often corresponds to the observed brightness of an objective scene. Text images are often binary images, and there are only two values for $f$, corresponding to text and blank space, respectively. The image at the point $(x, y)$ can also have multiple properties at the same time. In this case, it can be represented by a vector $f$. For example, a color image has three values of red, green, and blue at each image point, which can be recorded as $\left[f_r(x, y), f_g(x, y), f_b(x, y)\right]$. It needs to be pointed out that people always use images according to the different properties at different positions in the image.

An image can represent the spatial distribution of radiant energy. This distribution can be a function of five variables $T(x, y, z, t, \lambda)$, where $x, y$, and $z$ are spatial variables,and $t$ represents time variables, $\lambda$ is wavelength (corresponding to the spectral variable). For example, a red object reflects light with a wavelength of $0.57-0.78 \mu \mathrm{m}$ and absorbs almost all energy of other wavelengths; a green object reflects light with a wavelength of $0.48-0.57 \mu \mathrm{m}$; a blue object reflects light with a wavelength of $0.40-0.48 \mu \mathrm{m}$. Ultraviolet (color) objects reflect light with a wavelength of $0.25-0.40 \mu \mathrm{m}$, and infrared (color) objects reflect light with a wavelength of $0.78-1.5 \mu \mathrm{m}$. Together, they cover a wavelength range of $0.25-1.5 \mu \mathrm{m}$. Since the actual image is finite in time and space, $T(x, y, z, t, \lambda)$ is a 5-D finite function.

## 计算机代写|图像处理代写Image Processing代考|Spatial Resolution and Amplitude Resolution

From the above introduction and discussion of image representation and display, it can be known that the content of a 2-D grayscale image is determined by the number of pixels (the number of rows of the image multiplicd by the number of columns of the image) and by the number of gray levels for each pixel. The former determines the spatial resolution of the image, while the latter determines the amplitude resolution of the image. From the perspective of image acquisition, the acquisition of images is to record the spatial distribution of the light reflection intensity of the scene within a certain field of view. The accuracy in the spatial field of view here corresponds to the spatial resolution of the image, and the accuracy in the intensity range corresponds to the amplitude resolution of the image. The former corresponds to the number of digitized spatial sampling points while the latter corresponds to the quantization levels of the sampling point value (for grayscale images, it refers to gray levels; for depth images, it refers to depth levels). They are all important performance indicators of image acquisition devices.

The spatial resolution and amplitude resolution of the image are determined by sampling and quantization, respectively. Taking a typical CCD camera as an example, the spatial resolution of the image is mainly determined by the size and arrangement of the photoelectric sensing units in the image acquisition matrix in the camera, and the amplitude resolution of the grayscale image is mainly determined by the number of stages in the quantization of the electrical signal intensity. As shown in Figure 1.3, the signal radiated from the photoreceptive unit in the image acquisition matrix is sampled in space and quantized in intensity.

The sampling process can be seen as dividing the image plane into regular grids. The position of each grid is determined by a pair of Cartesian coordinates $(x, y)$, where $x$ and $y$ are integers. Let $f(\cdot)$ be a function that assigns gray values to the grid point $(x, y)$, where $f$ is an integer in $F$, then $f(x, y)$ is a digital image, and this assignment process is a quantization process.

From the perspective of computer processing of images, an image must be discretized in space and gray level before it can be processed by the computer. The discretization of spatial coordinates is called spatial sampling (abbreviated as sampling), which determines the spatial resolution of the image; the discretization of gray values is called grayscale quantization (abbreviated as quantization), which determines the amplitude resolution of the image.

# 图像处理代考

1.1.1 图像表示与显示

1.1.1.1 图像和像素

## 有限元方法代写

tatistics-lab作为专业的留学生服务机构，多年来已为美国、英国、加拿大、澳洲等留学热门地的学生提供专业的学术服务，包括但不限于Essay代写，Assignment代写，Dissertation代写，Report代写，小组作业代写，Proposal代写，Paper代写，Presentation代写，计算机作业代写，论文修改和润色，网课代做，exam代考等等。写作范围涵盖高中，本科，研究生等海外留学全阶段，辐射金融，经济学，会计学，审计学，管理学等全球99%专业科目。写作团队既有专业英语母语作者，也有海外名校硕博留学生，每位写作老师都拥有过硬的语言能力，专业的学科背景和学术写作经验。我们承诺100%原创，100%专业，100%准时，100%满意。

## MATLAB代写

MATLAB 是一种用于技术计算的高性能语言。它将计算、可视化和编程集成在一个易于使用的环境中，其中问题和解决方案以熟悉的数学符号表示。典型用途包括：数学和计算算法开发建模、仿真和原型制作数据分析、探索和可视化科学和工程图形应用程序开发，包括图形用户界面构建MATLAB 是一个交互式系统，其基本数据元素是一个不需要维度的数组。这使您可以解决许多技术计算问题，尤其是那些具有矩阵和向量公式的问题，而只需用 C 或 Fortran 等标量非交互式语言编写程序所需的时间的一小部分。MATLAB 名称代表矩阵实验室。MATLAB 最初的编写目的是提供对由 LINPACK 和 EISPACK 项目开发的矩阵软件的轻松访问，这两个项目共同代表了矩阵计算软件的最新技术。MATLAB 经过多年的发展，得到了许多用户的投入。在大学环境中，它是数学、工程和科学入门和高级课程的标准教学工具。在工业领域，MATLAB 是高效研究、开发和分析的首选工具。MATLAB 具有一系列称为工具箱的特定于应用程序的解决方案。对于大多数 MATLAB 用户来说非常重要，工具箱允许您学习应用专业技术。工具箱是 MATLAB 函数（M 文件）的综合集合，可扩展 MATLAB 环境以解决特定类别的问题。可用工具箱的领域包括信号处理、控制系统、神经网络、模糊逻辑、小波、仿真等。

## 计算机代写|图像处理代写Image Processing代考|BIOC062

statistics-lab™ 为您的留学生涯保驾护航 在代写图像处理Image Processing方面已经树立了自己的口碑, 保证靠谱, 高质且原创的统计Statistics代写服务。我们的专家在代写图像处理Image Processing代写方面经验极为丰富，各种代写图像处理Image Processing相关的作业也就用不着说。

• Statistical Inference 统计推断
• Statistical Computing 统计计算
• Advanced Probability Theory 高等楖率论
• Advanced Mathematical Statistics 高等数理统计学
• (Generalized) Linear Models 广义线性模型
• Statistical Machine Learning 统计机器学习
• Longitudinal Data Analysis 纵向数据分析
• Foundations of Data Science 数据科学基础

## 计算机代写|图像处理代写Image Processing代考|α-Cuts

The $\alpha$-cut (or level set) of a fuzzy set $\mu$ is the crisp set defined as:
$$\mu_\alpha={x \in \mathcal{U} \mid \mu(x) \geq \alpha} .$$
Strict (or strong) $\alpha$-cuts are defined as:

$$\mu_\alpha={x \in \mathcal{U} \mid \mu(x)>\alpha} .$$
A fuzzy set can be considered as a “stack” of its $\alpha$-cuts. It can be reconstructed from them using different formulas, the main ones being:
$$\begin{gathered} \mu(x)=\int_0^1 \mu_\alpha(x) d \alpha, \ \mu(x)=\sup {\alpha \in] 0,1]} \min \left(\alpha, \mu\alpha(x)\right), \ \mu(x)=\sup {\alpha \in] 0,1]}\left(\alpha \mu\alpha(x)\right) . \end{gathered}$$
Let us now look at the links with Zadeh’s operators. The following relationships hold:
$$\begin{gathered} \left.\left.\forall(\mu, v) \in \mathcal{F}^2, \mu=v \Leftrightarrow \forall \alpha \in\right] 0,1\right], \mu_\alpha=v_\alpha, \ \left.\left.\forall(\mu, v) \in \mathcal{F}^2, \mu \subseteq v \Leftrightarrow \forall \alpha \in\right] 0,1\right], \mu_\alpha \subseteq v_\alpha, \ \forall(\mu, v) \in \mathcal{F}^2, \forall \alpha \in[0,1],(\mu \cap v)\alpha=\mu\alpha \cap v_\alpha, \ \forall(\mu, v) \in \mathcal{F}^2, \forall \alpha \in[0,1],(\mu \cup v)\alpha=\mu\alpha \cup v_\alpha, \ \forall \mu \in \mathcal{F}, \forall \alpha \in[0,1], \bar{\mu}\alpha=\overline{\left(\mu{1-\alpha}\right)} . \end{gathered}$$
Note that the last equation is not as straightforward as the previous ones.

## 计算机代写|图像处理代写Image Processing代考|Cardinality

In this section, we consider only fuzzy sets that are defined over a finite universe, or that have a finite support. This is not restrictive when applying fuzzy sets theory to image processing, since in this domain, we are working mainly with finite (discrete) universes.
The cardinality of such a fuzzy set $\mu$ can be defined as:
$$|\mu|=\sum_{x \in \mathcal{U}} \mu(x),$$
or, if $\mathcal{U}$ is not finite but the support of $\mu$ is finite:
$$|\mu|=\sum_{x \in \operatorname{Supp}(\mu)} \mu(x) .$$
Again this definition is consistent with the cardinality of a crisp set. It can be interpreted as counting each point for an amount corresponding to its membership to the fuzzy set. It is also called the power of the fuzzy set (e.g., in [21]).

This definition can be extended to the case where $\mathcal{U}$ is not finite but measurable. Let $M$ be a measure on $\mathcal{U}$ (such that $\int_{\mathcal{U}} d M(x)=1$ ). The cardinality of $\mu$ is defined as:
$$|\mu|=\int_{\mathcal{U}} \mu(x) d M(x) .$$
Note that all these definitions provide a numeric result which, however, is not necessarily an integer. Extensions will be mentioned in Sect. 2.2.7.

In this section, the universe $\mathcal{U}$ is a real Euclidean space (of any dimension).
The convexity of a fuzzy set is defined from its $\alpha$-cuts as follows: a fuzzy set $\mu$ is convex iff its $\alpha$-cuts are convex (for all $\alpha$ in $[0,1]$ ). This definition is not equivalent to the convexity of the membership function in an analytical sense. ${ }^2$ The analytical equivalent expression for fuzzy convexity is as follows: $\mu$ is convex iff
$$\forall(x, y) \in \mathcal{U}^2, \forall \lambda \in[0,1], \min (\mu(x), \mu(y)) \leq \mu(\lambda x+(1-\lambda) y)$$

# 图像处理代考

## 计算机代写|图像处理代写Image Processing代考|α-Cuts

$$\mu_\alpha=x \in \mathcal{U} \mid \mu(x) \geq \alpha .$$

$$\mu_\alpha=x \in \mathcal{U} \mid \mu(x)>\alpha .$$

$$\left.\left.\left.\left.\mu(x)=\int_0^1 \mu_\alpha(x) d \alpha, \mu(x)=\sup \alpha \in\right] 0,1\right] \min (\alpha, \mu \alpha(x)), \mu(x)=\sup \alpha \in\right] 0,1\right](\alpha \mu \alpha(x)) \text {. }$$

$$\left.\left.\left.\left.\forall(\mu, v) \in \mathcal{F}^2, \mu=v \Leftrightarrow \forall \alpha \in\right] 0,1\right], \mu_\alpha=v_\alpha, \forall(\mu, v) \in \mathcal{F}^2, \mu \subseteq v \Leftrightarrow \forall \alpha \in\right] 0,1\right], \mu_\alpha \subseteq v_\alpha$$

## 计算机代写|图像处理代写Image Processing代考|Cardinality

$$|\mu|=\sum_{x \in \mathcal{U}} \mu(x),$$

$$|\mu|=\sum_{x \in \operatorname{Supp}(\mu)} \mu(x) .$$

$$|\mu|=\int_{\mathcal{U}} \mu(x) d M(x) .$$

$$\forall(x, y) \in \mathcal{U}^2, \forall \lambda \in[0,1], \min (\mu(x), \mu(y)) \leq \mu(\lambda x+(1-\lambda) y)$$

## 有限元方法代写

tatistics-lab作为专业的留学生服务机构，多年来已为美国、英国、加拿大、澳洲等留学热门地的学生提供专业的学术服务，包括但不限于Essay代写，Assignment代写，Dissertation代写，Report代写，小组作业代写，Proposal代写，Paper代写，Presentation代写，计算机作业代写，论文修改和润色，网课代做，exam代考等等。写作范围涵盖高中，本科，研究生等海外留学全阶段，辐射金融，经济学，会计学，审计学，管理学等全球99%专业科目。写作团队既有专业英语母语作者，也有海外名校硕博留学生，每位写作老师都拥有过硬的语言能力，专业的学科背景和学术写作经验。我们承诺100%原创，100%专业，100%准时，100%满意。

## MATLAB代写

MATLAB 是一种用于技术计算的高性能语言。它将计算、可视化和编程集成在一个易于使用的环境中，其中问题和解决方案以熟悉的数学符号表示。典型用途包括：数学和计算算法开发建模、仿真和原型制作数据分析、探索和可视化科学和工程图形应用程序开发，包括图形用户界面构建MATLAB 是一个交互式系统，其基本数据元素是一个不需要维度的数组。这使您可以解决许多技术计算问题，尤其是那些具有矩阵和向量公式的问题，而只需用 C 或 Fortran 等标量非交互式语言编写程序所需的时间的一小部分。MATLAB 名称代表矩阵实验室。MATLAB 最初的编写目的是提供对由 LINPACK 和 EISPACK 项目开发的矩阵软件的轻松访问，这两个项目共同代表了矩阵计算软件的最新技术。MATLAB 经过多年的发展，得到了许多用户的投入。在大学环境中，它是数学、工程和科学入门和高级课程的标准教学工具。在工业领域，MATLAB 是高效研究、开发和分析的首选工具。MATLAB 具有一系列称为工具箱的特定于应用程序的解决方案。对于大多数 MATLAB 用户来说非常重要，工具箱允许您学习应用专业技术。工具箱是 MATLAB 函数（M 文件）的综合集合，可扩展 MATLAB 环境以解决特定类别的问题。可用工具箱的领域包括信号处理、控制系统、神经网络、模糊逻辑、小波、仿真等。

## 计算机代写|图像处理代写Image Processing代考|ECE867

statistics-lab™ 为您的留学生涯保驾护航 在代写图像处理Image Processing方面已经树立了自己的口碑, 保证靠谱, 高质且原创的统计Statistics代写服务。我们的专家在代写图像处理Image Processing代写方面经验极为丰富，各种代写图像处理Image Processing相关的作业也就用不着说。

• Statistical Inference 统计推断
• Statistical Computing 统计计算
• Advanced Probability Theory 高等楖率论
• Advanced Mathematical Statistics 高等数理统计学
• (Generalized) Linear Models 广义线性模型
• Statistical Machine Learning 统计机器学习
• Longitudinal Data Analysis 纵向数据分析
• Foundations of Data Science 数据科学基础

## 计算机代写|图像处理代写Image Processing代考|Basic Definitions of Fuzzy Sets Theory

Let $\mathcal{U}$ be the universe of discourse, i.e., the space of objects of interest. It is a classical (or crisp) set. We denote by $x, y$, etc. its elements (or points). In image processing, $\mathcal{U}$ can typically be the space on which the image is defined (usually $\mathbb{Z}^n$ or $\mathbb{R}^n$, with $n=2,3, \ldots$ ) and will then be denoted by $\mathcal{S}$. Then the elements of $\mathcal{U}=\mathcal{S}$ are the points of the image (pixels, voxels). The universe can also be a set of values taken by some image characteristics, for instance, the scale of gray levels. Then an element $x$ is a value (a gray level). The set $\mathcal{U}$ can also be a set of features,primitives, or objects extracted from the images (e.g., segments, regions, objects), leading to a higher level representation of the image content.

A subset $X$ of $\mathcal{U}$ is defined by its characteristic function $\mu_X$, such that $\mu_X(x)=1$ if $x \in X$ and $\mu_X(x)=0$ if $x \notin X$. The characteristic function $\mu_X$ is a binary function, specifying the crisp membership of each point of $\mathcal{U}$ to $X$.

Fuzzy set theory aims at dealing with gradual membership, accomplished by a rather modest extension of the definition of $\mu$ to take values in $[0,1]$ rather than ${0,1}$. A fuzzy subset of $\mathcal{U}$ is then defined through its membership function $\mu$ from $\mathcal{U}$ into $[0,1] .{ }^1$ For each $x$ of $\mathcal{U}, \mu(x) \in[0,1]$ represents the membership degree of $x$ to the fuzzy subset, i.e., to which extent $x$ belongs to it. Although the correct terminology would be to speak of “fuzzy subset,” commonly, the simpler term “fuzzy set” is used (just as in the case of crisp subsets). We keep this term in the following, for the sake of simplicity.

Various notations are used to designate a fuzzy set. A fuzzy set is completely defined by the set ${(x, \mu(x)), x \in \mathcal{U}}$, which can be noted as $\int_{\mathcal{U}} \mu(x) / x$ or in the discrete finite case $\sum_{i=1}^N \mu\left(x_i\right) / x_i$ where $N$ denotes the cardinality of $\mathcal{U}$.

Since the set of all couples $(x, \mu(x))$ is completely equivalent to the definition of the function $\mu$, we have chosen here to simplify notations and to always use the functional notation $\mu$, a function of $\mathcal{U}$ into $[0,1]$, and $\mu$ will alternatively denote a fuzzy set or its membership function.

The support of a fuzzy set $\mu$ is the set of points that have a strictly positive membership to $\mu$ (it is a crisp set):
$$\operatorname{Supp}(\mu)={x \in \mathcal{U} \mid \mu(x)>0} .$$

## 计算机代写|图像处理代写Image Processing代考|Set Theoretical Operations: Original Definitions

Since fuzzy sets have been introduced by L. Zadeh in [34] in order to generalize sets, the first operations that have been proposed are set theoretical (algebraic) operations. We recall here the original definitions proposed by L. Zadeh. Further operations are defined later, in Sect. 2.3.

The equality of two fuzzy sets is defined by the equality of their membership functions:
$$\mu=v \Leftrightarrow \forall x \in \mathcal{U}, \mu(x)=v(x) .$$
The inclusion of a fuzzy set in another one is defined as an inequality on their membership functions:
$$\mu \subseteq v \Leftrightarrow \forall x \in \mathcal{U}, \mu(x) \leq v(x) .$$
The intersection (respectively, union) between two fuzzy sets is defined as the pointwise minimum (respectively, maximum) of their membership values:
\begin{aligned} & \forall x \in \mathcal{U},(\mu \cap v)(x)=\min [\mu(x), v(x)], \ & \forall x \in \mathcal{U},(\mu \cup v)(x)=\max [\mu(x), v(x)] . \end{aligned}
The complement of a fuzzy set $\mu, \bar{\mu}$, is defined as:
$$\forall x \in \mathcal{U}, \bar{\mu}(x)=1-\mu(x) .$$
The main properties of these definitions are the following:

• They are all consistent with crisp set operations, that is, in the particular case where the membership functions only take values 0 and 1 (i.e., they are crisp sets), these definitions reduce to the classical definitions; note that this property is important since it is the least we can ask to the fuzzy extension of an operation on sets.
• $\mu=v \Leftrightarrow \mu \subseteq v$ and $v \subseteq \mu$.
• The fuzzy complementation is involutive, that is $\overline{(\bar{\mu})}=\mu$.
• Intersection and union are commutative and associative.
• Intersection and union are idempotent and mutually distributive.
• Intersection and union are dual with respect to the complementation: $\overline{(\mu \cap \nu)}=$ $\bar{\mu} \cup \bar{v}, \overline{(\mu \cup v)}=\bar{\mu} \cap \bar{v}$.
• If we consider the empty set $\emptyset$ as a fuzzy set having membership values all equal to 0 , then we have $\mu \cap \emptyset=\emptyset$ and $\mu \cup \emptyset=\mu$, for any fuzzy set $\mu$ defined on $\mathcal{U}$.

# 图像处理代考

## 计算机代写|图像处理代写Image Processing代考|Basic Definitions of Fuzzy Sets Theory

$\operatorname{Supp}(\mu)=x \in \mathcal{U} \mid \mu(x)>0$

## 计算机代写|图像处理代写Image Processing代考|Set Theoretical Operations: Original Definitions

$$\mu=v \Leftrightarrow \forall x \in \mathcal{U}, \mu(x)=v(x) .$$

$$\mu \subseteq v \Leftrightarrow \forall x \in \mathcal{U}, \mu(x) \leq v(x) .$$

$$\forall x \in \mathcal{U},(\mu \cap v)(x)=\min [\mu(x), v(x)], \quad \forall x \in \mathcal{U},(\mu \cup v)(x)=\max [\mu(x), v(x)]$$

$$\forall x \in \mathcal{U}, \bar{\mu}(x)=1-\mu(x)$$

• 它们都与清晰集操作一致，即在隶属函数仅取值 0 和 1 (即它们是清晰集）的特定情况下，这些定 义简化为经典定义；请注意，此属性很重要，因为它是我们可以对集合操作的模喖扩展提出的最少 要求。
• $\mu=v \Leftrightarrow \mu \subseteq v$ 和 $v \subseteq \mu$.
• 模㗅互补是内合的，即 $(\bar{\mu})=\mu$.
• 交集和并集是可交换的和结合的。
• 交集和并集是幂等且互分配的。
• Intersection 和 union 在互补方面是对偶的: $\overline{(\mu \cap \nu)}=\bar{\mu} \cup \bar{v}, \overline{(\mu \cup v)}=\bar{\mu} \cap \bar{v}$.
• 如果我们考虑空集 $\emptyset$ 作为一个隶属度值都等于 0 的模糊集，那么我们有 $\mu \cap \emptyset=\emptyset$ 和 $\mu \cup \emptyset=\mu$, 对 于任何模糊集 $\mu$ 定义于 $\mathcal{U}$.

## 有限元方法代写

tatistics-lab作为专业的留学生服务机构，多年来已为美国、英国、加拿大、澳洲等留学热门地的学生提供专业的学术服务，包括但不限于Essay代写，Assignment代写，Dissertation代写，Report代写，小组作业代写，Proposal代写，Paper代写，Presentation代写，计算机作业代写，论文修改和润色，网课代做，exam代考等等。写作范围涵盖高中，本科，研究生等海外留学全阶段，辐射金融，经济学，会计学，审计学，管理学等全球99%专业科目。写作团队既有专业英语母语作者，也有海外名校硕博留学生，每位写作老师都拥有过硬的语言能力，专业的学科背景和学术写作经验。我们承诺100%原创，100%专业，100%准时，100%满意。

## MATLAB代写

MATLAB 是一种用于技术计算的高性能语言。它将计算、可视化和编程集成在一个易于使用的环境中，其中问题和解决方案以熟悉的数学符号表示。典型用途包括：数学和计算算法开发建模、仿真和原型制作数据分析、探索和可视化科学和工程图形应用程序开发，包括图形用户界面构建MATLAB 是一个交互式系统，其基本数据元素是一个不需要维度的数组。这使您可以解决许多技术计算问题，尤其是那些具有矩阵和向量公式的问题，而只需用 C 或 Fortran 等标量非交互式语言编写程序所需的时间的一小部分。MATLAB 名称代表矩阵实验室。MATLAB 最初的编写目的是提供对由 LINPACK 和 EISPACK 项目开发的矩阵软件的轻松访问，这两个项目共同代表了矩阵计算软件的最新技术。MATLAB 经过多年的发展，得到了许多用户的投入。在大学环境中，它是数学、工程和科学入门和高级课程的标准教学工具。在工业领域，MATLAB 是高效研究、开发和分析的首选工具。MATLAB 具有一系列称为工具箱的特定于应用程序的解决方案。对于大多数 MATLAB 用户来说非常重要，工具箱允许您学习应用专业技术。工具箱是 MATLAB 函数（M 文件）的综合集合，可扩展 MATLAB 环境以解决特定类别的问题。可用工具箱的领域包括信号处理、控制系统、神经网络、模糊逻辑、小波、仿真等。

## 计算机代写|图像处理代写Image Processing代考|EEE6512

statistics-lab™ 为您的留学生涯保驾护航 在代写图像处理Image Processing方面已经树立了自己的口碑, 保证靠谱, 高质且原创的统计Statistics代写服务。我们的专家在代写图像处理Image Processing代写方面经验极为丰富，各种代写图像处理Image Processing相关的作业也就用不着说。

• Statistical Inference 统计推断
• Statistical Computing 统计计算
• Advanced Probability Theory 高等楖率论
• Advanced Mathematical Statistics 高等数理统计学
• (Generalized) Linear Models 广义线性模型
• Statistical Machine Learning 统计机器学习
• Longitudinal Data Analysis 纵向数据分析
• Foundations of Data Science 数据科学基础

## 计算机代写|图像处理代写Image Processing代考|Advantages and Usefulness of Fuzzy Sets

Fuzzy sets have several advantages as they provide a unified framework for representing and processing both numerical and symbolic information, along with its imprecisions, as in other domains of information processing [70].
Basic definitions on fuzzy sets theory will be recalled in Chap. 2.
First, fuzzy sets are able to represent several types of imprecision in images, as, for instance, imprecision in spatial location of objects, or imprecision in membership of an object to a class. For instance, partial volume effect finds a consistent representation in fuzzy sets (membership degrees of a pixel or voxel to objects directly represent partial membership to the different objects mixed up in this pixel or voxel, leading to a modeling consistent with respect to reality). Secondly, image information can be represented at different levels with fuzzy sets (local, regional, or global), as well as under different forms (numerical, or symbolic). For instance, classification based only on gray levels involves very local information (at the pixel level); introducing spatial coherence in the classification, or relations between features, involves regional information; and introducing relations between objects or regions for scene interpretation involves more global information and is related to the field of spatial reasoning. Thirdly, the fuzzy set framework allows for the representation of very heterogeneous information and is able to deal with information extracted directly from the images, as well as with information derived from some external knowledge, such as expert knowledge. This is exploited in particular in model-based pattern recognition, where fuzzy information extracted from the images is compared and matched to a model representing knowledge expressed in fuzzy terms.

Therefore this theory can support tasks at several levels, from low level (e.g., gray-level based classification) to high level (e.g., model-based structural recognition and scene interpretation). It provides a flexible framework for information fusion as well as powerful tools for reasoning and decision making. From a mathematical point of view, fuzzy sets can be equipped with a complete lattice structure, which is suitable for its association with other theories of information processing based on such structures, such as mathematical morphology or logics. While first applications mainly addressed reasoning at low level for classification, edge detection or filtering, higher level information modeling and processing are now more widely developed and still topics of current research. This includes dealing with spatial information at intermediate or higher level, via mathematical morphology, spatial reasoning, ontologies, graphs, or knowledge-based systems, as well as advances in machine learning, higher level descriptions of image content, handling different levels of granularity, to name but a few.

## 计算机代写|图像处理代写Image Processing代考|Imprecision in Images and Related Knowledge

Imprecision is often inherent to images, and its causes can be found at several levels:

• Observed phenomenon: imprecise limits between structures or objects that exist in reality (for instance, between healthy and pathological tissues when the pathology diffuses inside the normal tissues) will induce similar imprecise limits in observed images;
• Acquisition process (limited resolution, numerical reconstruction methods);
• Image processing steps (imprecision induced by a filtering for instance);

Similarly, imprecision occurs in the descriptions of available knowledge. For instance, when describing the organization of brain structures, textbooks often include linguistic descriptions that are inherently imprecise (e.g., “structure A is anterior to structure B”).

Moreover, the aim of an image understanding process can be expressed in an imprecise way, which is sometimes even preferable to a statement which is precise, but likely not sufficiently accurate.

Several examples illustrating the above considerations will be provided in the different chapters of this book.

Fuzzy sets have several advantages for representing such imprecision, as explained in Chap. 1. In particular, fuzzy set theory is of great interest to provide a rich collection of tools in a consistent mathematical framework, for all the issues described in Chap. 1. It allows representing imprecision of objects, relations, knowledge, and aims, at different levels of representation. It provides an unified framework for representing and processing related numerical and symbolic information, as well as structural information (e.g., spatial relations between objects in an image). Therefore this theory can be employed for tasks at several levels, from low level (e.g., gray-level based classification) to high level (e.g., model-based structural recognition and scene interpretation). At the same time, it provides a flexible framework for information fusion as well as powerful tools for reasoning and decision making.

Let us provide a simple example to illustrate the usefulness of fuzzy models to explicitly represent imprecision in the information provided by the images, as well as possible ambiguity between classes. For instance, the problem of partial volume effect finds a consistent representation in this model. A pixel or voxel suffering from partial volume effect is characterized by the fact that it belongs partially to two (or more) different tissues or classes. Using fuzzy sets, this translates immediately into non-zero membership values to more than one class. Figure $2.1$ shows an example of an MR image of the brain of a patient suffering from adrenoleukodystrophy, and where the slice thickness induces a high partial volume effect. The grey levels on the right figure represent the membership values to the pathology. The pathology is then considered as a fuzzy object, represented by a membership function defined on the spatial domain.

## 计算机代写|图像处理代写Image Processing代考|Imprecision in Images and Related Knowledge

• 观察现象：现实中存在的结构或物体之间的不精确限制（例如，当病理扩散到正常组织内部时，健康组织和病理组织之间的限制）将在观察图像中引起类似的不精确限制；
• 采集过程（有限分辨率、数值重建方法）；
• 图像处理步骤（例如由过滤引起的不精确）；

## 有限元方法代写

tatistics-lab作为专业的留学生服务机构，多年来已为美国、英国、加拿大、澳洲等留学热门地的学生提供专业的学术服务，包括但不限于Essay代写，Assignment代写，Dissertation代写，Report代写，小组作业代写，Proposal代写，Paper代写，Presentation代写，计算机作业代写，论文修改和润色，网课代做，exam代考等等。写作范围涵盖高中，本科，研究生等海外留学全阶段，辐射金融，经济学，会计学，审计学，管理学等全球99%专业科目。写作团队既有专业英语母语作者，也有海外名校硕博留学生，每位写作老师都拥有过硬的语言能力，专业的学科背景和学术写作经验。我们承诺100%原创，100%专业，100%准时，100%满意。

## MATLAB代写

MATLAB 是一种用于技术计算的高性能语言。它将计算、可视化和编程集成在一个易于使用的环境中，其中问题和解决方案以熟悉的数学符号表示。典型用途包括：数学和计算算法开发建模、仿真和原型制作数据分析、探索和可视化科学和工程图形应用程序开发，包括图形用户界面构建MATLAB 是一个交互式系统，其基本数据元素是一个不需要维度的数组。这使您可以解决许多技术计算问题，尤其是那些具有矩阵和向量公式的问题，而只需用 C 或 Fortran 等标量非交互式语言编写程序所需的时间的一小部分。MATLAB 名称代表矩阵实验室。MATLAB 最初的编写目的是提供对由 LINPACK 和 EISPACK 项目开发的矩阵软件的轻松访问，这两个项目共同代表了矩阵计算软件的最新技术。MATLAB 经过多年的发展，得到了许多用户的投入。在大学环境中，它是数学、工程和科学入门和高级课程的标准教学工具。在工业领域，MATLAB 是高效研究、开发和分析的首选工具。MATLAB 具有一系列称为工具箱的特定于应用程序的解决方案。对于大多数 MATLAB 用户来说非常重要，工具箱允许您学习应用专业技术。工具箱是 MATLAB 函数（M 文件）的综合集合，可扩展 MATLAB 环境以解决特定类别的问题。可用工具箱的领域包括信号处理、控制系统、神经网络、模糊逻辑、小波、仿真等。

## 计算机代写|图像处理代写Image Processing代考|GPY470

statistics-lab™ 为您的留学生涯保驾护航 在代写图像处理Image Processing方面已经树立了自己的口碑, 保证靠谱, 高质且原创的统计Statistics代写服务。我们的专家在代写图像处理Image Processing代写方面经验极为丰富，各种代写图像处理Image Processing相关的作业也就用不着说。

• Statistical Inference 统计推断
• Statistical Computing 统计计算
• Advanced Probability Theory 高等楖率论
• Advanced Mathematical Statistics 高等数理统计学
• (Generalized) Linear Models 广义线性模型
• Statistical Machine Learning 统计机器学习
• Longitudinal Data Analysis 纵向数据分析
• Foundations of Data Science 数据科学基础

## 计算机代写|图像处理代写Image Processing代考|Dithering Technology

Half-tone output technology improves the resolution of the image amplitude by reducing the spatial resolution of the image or sacrificing the number of spatial points of the image to increase the number of gray levels of the image. It can be seen from the above discussion that if one wants to output an image with more gray levels, the spatial resolution of the image will be greatly reduced; if one wants to maintain a certain spatial resolution, the output gray level will be relatively small. That is, if one wants to preserve the spatial details, the number of gray levels cannot be too much. However, when the gray level of an image is relatively small, the visual quality of the image will be relatively poor, such as the appearance of false contours. To improve the quality of the image, dithering technology is often used, which improves the display quality of the quantized coarse image by adjusting or changing the amplitude value of the image.

Dithering can be achieved by adding a random small noise $d(x, y)$ to the original image $f(x, y)$. Since the value of $d(x, y)$ has no regular relationship with $f(x, y)$, it can help eliminate false contours in the image caused by insufficient quantization.

A specific method of dithering is as follows. Let $b$ be the number of bits in the image display, then the value of $d(x, y)$ can be obtained with uniform probability from the following 5 numbers: $-2^{(6-b)},-2^{(5-b)}, 0,-2^{(5-b)}$, and $2^{(6-b)}$. Adding the $b$ most significant bits of such a random small noise $d(x, y)$ to $f(x, y)$ provides the final output pixel values.

Figure $1.10$ shows a set of examples of dithering. Figure $1.10 \mathrm{a}$ is a part $(128 \times 128)$ of an original image with 256 gray levels (Figure 1.1a); Figure $1.10 \mathrm{~b}$ shows the output effect of half-tone printing at the same size as the original image, by using the $3 \times 3$ half-tone mask. Since there are only 10 gray levels now, there are obvious false contour phenomena in regions where the gray-level change is relatively slow, such as the face and shoulders (the original continuously changing gray levels seem to have sharply changed gray levels now). Figure $1.10 \mathrm{c}$ is the result of adjusting the original image using dithering technology, and the superimposed dithering value is evenly distributed in the interval $[-8,8]$; Figure 1.10d shows the output effect of half-tone printing of the same size image after the dithering technology is used for improvement. The false contour phenomenon has been amended.

## 计算机代写|图像处理代写Image Processing代考|Image Engineering

The above-mentioned technologies can be unified together and called image engineering (IE) technology. IE is a new interdisciplinary subject that systematically studies various image theories, technologies, and applications (Zhang 1996). From the perspective of its research methods, it can learn from many disciplines, such as mathematics, physics, physiology, psychology, electronics, and computer science. From the perspective of its research scope, it is related to and overlaps with many disciplines, such as pattern recognition, computer vision, and computer graphics. In addition, the research progress of IE is closely related to theories and technologies such as artificial intelligence, neural networks, genetic algorithms, fuzzy logic, and machine learning. Its development and application are related to and indivisible with medicine, remote sensing, communication, document processing, industrial automation, and intelligent transportation, and so on.

If considering the characteristics of various IE technologies, they can be divided into three levels that are both connected and differentiated (as shown in Figure 1.12): image processing (IP) technology (Zhang 2017a), Image analysis (IA) technology (Zhang 2017b), and Image understanding (IU) technology (Zhang 2017c).

IP emphasizes the transformation between images. Although people often use IP to refer to various image technologies, the more narrowly defined IP mainly refers to various processing of images to improve the visual effect of the image and lay the foundation for automatic recognition or to compress and encode the image to reduce the storage required space or transmission time to meet the requirements of a given transmission path.

IA is mainly used to detect and measure objects of interest in the image to obtain their objective information to establish a description of the image. If IP is a process from image to image, then IA is a process from image to data. Here, the data can be the result of the measurement of the object feature, or a symbolic representation based on the measurement. They describe the characteristics and properties of the object in the image.

## 计算机代写|图像处理代写Image Processing代考|Image Engineering

IP强调图像之间的转换。虽然人们经常用IP来指代各种图像技术，但更狭义的IP主要是指对图像进行各种处理，以提高图像的视觉效果，为自动识别奠定基础，或者对图像进行压缩编码以减少存储空间。满足给定传输路径要求所需的空间或传输时间。

IA主要用于检测和测量图像中感兴趣的对象，获取其客观信息，建立对图像的描述。如果说IP是从图像到图像的过程，那么IA就是从图像到数据的过程。这里，数据可以是物体特征的测量结果，也可以是基于测量的符号表示。它们描述了图像中对象的特征和属性。

## 有限元方法代写

tatistics-lab作为专业的留学生服务机构，多年来已为美国、英国、加拿大、澳洲等留学热门地的学生提供专业的学术服务，包括但不限于Essay代写，Assignment代写，Dissertation代写，Report代写，小组作业代写，Proposal代写，Paper代写，Presentation代写，计算机作业代写，论文修改和润色，网课代做，exam代考等等。写作范围涵盖高中，本科，研究生等海外留学全阶段，辐射金融，经济学，会计学，审计学，管理学等全球99%专业科目。写作团队既有专业英语母语作者，也有海外名校硕博留学生，每位写作老师都拥有过硬的语言能力，专业的学科背景和学术写作经验。我们承诺100%原创，100%专业，100%准时，100%满意。

## MATLAB代写

MATLAB 是一种用于技术计算的高性能语言。它将计算、可视化和编程集成在一个易于使用的环境中，其中问题和解决方案以熟悉的数学符号表示。典型用途包括：数学和计算算法开发建模、仿真和原型制作数据分析、探索和可视化科学和工程图形应用程序开发，包括图形用户界面构建MATLAB 是一个交互式系统，其基本数据元素是一个不需要维度的数组。这使您可以解决许多技术计算问题，尤其是那些具有矩阵和向量公式的问题，而只需用 C 或 Fortran 等标量非交互式语言编写程序所需的时间的一小部分。MATLAB 名称代表矩阵实验室。MATLAB 最初的编写目的是提供对由 LINPACK 和 EISPACK 项目开发的矩阵软件的轻松访问，这两个项目共同代表了矩阵计算软件的最新技术。MATLAB 经过多年的发展，得到了许多用户的投入。在大学环境中，它是数学、工程和科学入门和高级课程的标准教学工具。在工业领域，MATLAB 是高效研究、开发和分析的首选工具。MATLAB 具有一系列称为工具箱的特定于应用程序的解决方案。对于大多数 MATLAB 用户来说非常重要，工具箱允许您学习应用专业技术。工具箱是 MATLAB 函数（M 文件）的综合集合，可扩展 MATLAB 环境以解决特定类别的问题。可用工具箱的领域包括信号处理、控制系统、神经网络、模糊逻辑、小波、仿真等。

## 计算机代写|图像处理代写Image Processing代考|ECE6123

statistics-lab™ 为您的留学生涯保驾护航 在代写图像处理Image Processing方面已经树立了自己的口碑, 保证靠谱, 高质且原创的统计Statistics代写服务。我们的专家在代写图像处理Image Processing代写方面经验极为丰富，各种代写图像处理Image Processing相关的作业也就用不着说。

• Statistical Inference 统计推断
• Statistical Computing 统计计算
• Advanced Probability Theory 高等楖率论
• Advanced Mathematical Statistics 高等数理统计学
• (Generalized) Linear Models 广义线性模型
• Statistical Machine Learning 统计机器学习
• Longitudinal Data Analysis 纵向数据分析
• Foundations of Data Science 数据科学基础

## 计算机代写|图像处理代写Image Processing代考|Half-Tone Output Technology

General printing equipment can only directly output binary images. For example, the grayscale output of a laser printer has only two levels (either printing, outputting black; or not printing, outputting white). To output a grayscale image on a binary image output device and maintain its original grayscale level, a technique called half-tone output is often used.
Half-tone output technology can be regarded as a technology that converts grayscale images into binary images. It converts various gray scales in the intended output image into a binary point mode so that the grayscale image can be output by a printing device that can only directly output binary points. At the same time, it takes advantage of the integrated characteristics of the human eye, by controlling the form of the output binary point pattern (including number, size, shape, etc.) to give people a visual sense of multiple gray levels. In other words, the image output by the half-tone output technology is still a binary image at a very fine scale, but due to the spatial local averaging effect of the eyes, what is perceived is a grayscale image at a coarser scale. For example, in a binary image, the gray level of each pixel is only white or black, but from a certain distance, the unit perceived hy the human eye is composed of multiple pixels, then the gray level perceived by the human eye is the average gray level of all pixels in this unit (proportional to the number of black pixels).

IIalf-tone output technology is mainly divided into two types: amplitude modulation (AM) technology and frequency modulation (FM) technology, which will be introduced separately below.

1. Amplitude modulation
In the beginning, the half-tone output technology proposed and used displays of different gray levels by adjusting the size of the output black dots, which can be called amplitude modulation (AM) half-tone output technology. For example, the pictures in the early newspapers used ink dots of different sizes on the grid to represent the gray scale. When viewed from a certain distance, a group of small ink dots can produce a brighter gray scale visual effect, while a group of large ink dots can produce a darker gray scale visual effect. In practice, the size of ink dots is inversely proportional to the gray scale being represented, that is, the dots printed in the bright image region are small, and the dots printed in the dark image region are larger. When the ink dot is small enough and the observation distance is long enough, the human eye can obtain a relatively continuous and smooth gray-scale image according to the integrated characteristics. In general, the resolution of pictures in newspapers is about 100 dots per inch (DPI), while the resolution of pictures in books or magazines is about 300 DPI.

## 计算机代写|图像处理代写Image Processing代考|Half-Tone Output Mask

A specific implementation method of half-tone output is to first subdivide the image output unit and combine the adjacent basic binary points to form the output unit so that each output unit contains several basic binary points. Let some basic binary points output black while other basic binary points output white to get different grayscale effects. In other words, to output different gray levels, a set of masks/templates needs to be established, and each mask corresponds to an output unit. Divide each mask into regular grids, and each grid corresponds to a basic binary point. By adjusting each basic binary point to black or white, each mask can output a different grayscale so as to achieve the purpose of outputting grayscale images.

If a mask is divided into $2 \times 2$ grids, five different gray levels can be output according to the way shown in Figure 1.7. If a mask is divided into $3 \times 3$ grids, ten different gray scales can be output according to the way shown in Figure 1.8. If a mask is divided into $4 \times 4$ grids, 17 different gray scales can be output according to the way shown in Figure 1.9. By analogy, if a mask is divided into $n \times n$ grids, then $n^2+1$ different gray levels can be output.
Because there are $C_k^n=n ! /(n-k) ! k !$ different methods for putting $k$ points into $n$ units, the arrangement of black points in these figures is not unique. Note that if a grid is black at a certain gray level, it will still be black in all outputs greater than that gray level.

Divide the mask into grids according to the above method, then to output 256 gray levels, a mask needs to be divided into $16 \times 16$ units, that is, $16 \times 16$ positions are used to represent one pixel. It can be seen that the spatial resolution of the output image will be greatly affected. It can be seen that the half-tone output technology is only worth using when the gray valuc output by the output dcvicc itsclf is limitcd, and it is a rcduction in spatial rcsolution in exchange for an increase in amplitude resolution. Assuming that each pixel in a $2 \times 2$ matrix can be white or black, each pixel requires one bit. Regarding this $2 \times 2$ matrix as a half-tone output unit, this unit needs 4 bits and can output 5 gray scales ( 16 modes).

## 计算机代写|图像处理代写Image Processing代考|Half-Tone Output Technology

II 半音输出技术主要分为调幅（AM）技术和调频（FM）技术两种，下面分别介绍。

1. 调幅
最初，半色调输出技术是通过调整输出黑点的大小来提出并使用不同灰度级的显示，可称为调幅（AM）半色调输出技术。例如，早期报纸上的图片是用网格上大小不一的墨点来表示灰度的。从一定距离观看，一组小墨点可以产生较亮的灰度视觉效果，而一组大墨点可以产生较暗的灰度视觉效果。在实际应用中，墨点的大小与所表现的灰度等级成反比，即图像亮的区域打印的网点小，图像暗的区域打印的网点大。当墨点足够小，观察距离足够远时，人眼可以根据综合特征得到相对连续、平滑的灰度图像。一般来说，报纸上图片的分辨率约为每英寸 100 点 (DPI)，而书籍或杂志上图片的分辨率约为 300 DPI。

## 有限元方法代写

tatistics-lab作为专业的留学生服务机构，多年来已为美国、英国、加拿大、澳洲等留学热门地的学生提供专业的学术服务，包括但不限于Essay代写，Assignment代写，Dissertation代写，Report代写，小组作业代写，Proposal代写，Paper代写，Presentation代写，计算机作业代写，论文修改和润色，网课代做，exam代考等等。写作范围涵盖高中，本科，研究生等海外留学全阶段，辐射金融，经济学，会计学，审计学，管理学等全球99%专业科目。写作团队既有专业英语母语作者，也有海外名校硕博留学生，每位写作老师都拥有过硬的语言能力，专业的学科背景和学术写作经验。我们承诺100%原创，100%专业，100%准时，100%满意。

## MATLAB代写

MATLAB 是一种用于技术计算的高性能语言。它将计算、可视化和编程集成在一个易于使用的环境中，其中问题和解决方案以熟悉的数学符号表示。典型用途包括：数学和计算算法开发建模、仿真和原型制作数据分析、探索和可视化科学和工程图形应用程序开发，包括图形用户界面构建MATLAB 是一个交互式系统，其基本数据元素是一个不需要维度的数组。这使您可以解决许多技术计算问题，尤其是那些具有矩阵和向量公式的问题，而只需用 C 或 Fortran 等标量非交互式语言编写程序所需的时间的一小部分。MATLAB 名称代表矩阵实验室。MATLAB 最初的编写目的是提供对由 LINPACK 和 EISPACK 项目开发的矩阵软件的轻松访问，这两个项目共同代表了矩阵计算软件的最新技术。MATLAB 经过多年的发展，得到了许多用户的投入。在大学环境中，它是数学、工程和科学入门和高级课程的标准教学工具。在工业领域，MATLAB 是高效研究、开发和分析的首选工具。MATLAB 具有一系列称为工具箱的特定于应用程序的解决方案。对于大多数 MATLAB 用户来说非常重要，工具箱允许您学习应用专业技术。工具箱是 MATLAB 函数（M 文件）的综合集合，可扩展 MATLAB 环境以解决特定类别的问题。可用工具箱的领域包括信号处理、控制系统、神经网络、模糊逻辑、小波、仿真等。

## 计算机代写|图像处理代写Image Processing代考|COMP345

statistics-lab™ 为您的留学生涯保驾护航 在代写图像处理Image Processing方面已经树立了自己的口碑, 保证靠谱, 高质且原创的统计Statistics代写服务。我们的专家在代写图像处理Image Processing代写方面经验极为丰富，各种代写图像处理Image Processing相关的作业也就用不着说。

• Statistical Inference 统计推断
• Statistical Computing 统计计算
• Advanced Probability Theory 高等楖率论
• Advanced Mathematical Statistics 高等数理统计学
• (Generalized) Linear Models 广义线性模型
• Statistical Machine Learning 统计机器学习
• Longitudinal Data Analysis 纵向数据分析
• Foundations of Data Science 数据科学基础

## 计算机代写|图像处理代写Image Processing代考|IMAGE BASICS

First, some basic concepts and terminology related to images are reviewed.
1.1.1 Image Representation and Display
Let’s first introduce how to represent and display images.
1.1.1.1 Images and Pixels
The objective world is three-dimensional (3-D) in space, but the image obtained from the objective scene is generally two-dimensional (2-D). An image can be represented by a 2-D array $f(x, y)$, where $x$ and $y$ represent the position of a coordinate point in the 2-D space $X Y$, and $f$ represents the image value of a property $F$ at a certain point $(x, y)$. For example, $f$ in a grayscale image represents a gray value, which often corresponds to the observed brightness of an objective scene. Text images are often binary images, and there are only two values for $f$, corresponding to text and blank space, respectively. The image at the point $(x, y)$ can also have multiple properties at the same time. In this case, it can be represented by a vector $f$. For example, a color image has three values of red, green, and blue at each image point, which can be recorded as $\left[f_r(x, y), f_g(x, y), f_b(x, y)\right]$. It needs to be pointed out that people always use images according to the different properties at different positions in the image.

An image can represent the spatial distribution of radiant energy. This distribution can be a function of five variables $T(x, y, z, t, \lambda)$, where $x, y$, and $z$ are spatial variables, and $t$ represents time variables, $\lambda$ is wavelength (corresponding to the spectral variable). For example, a red object reflects light with a wavelength of $0.57-0.78 \mu \mathrm{m}$ and absorbs almost all energy of other wavelengths; a green object reflects light with a wavelength of $0.48-0.57 \mu \mathrm{m}$; a blue object reflects light with a wavelength of $0.40-0.48 \mu \mathrm{m}$. Ultraviolet (color) objects reflect light with a wavelength of $0.25-0.40 \mu \mathrm{m}$, and infrared (color) objects reflect light with a wavelength of $0.78-1.5 \mu \mathrm{m}$. Together, they cover a wavelength range of $0.25-1.5 \mu \mathrm{m}$. Since the actual image is finite in time and space, $T(x, y, z, t, \lambda)$ is a 5 -D finite function.

The images acquired in the early years are mostly continuous (analog), that is, the values of $f$, $x$, and $y$ can be any real numbers. With the invention of the computer and the development of electronic equipment, the acquired images are all discrete (digital) and can be processed directly by the computer. Someone once used $I(r, c)$ to represent a digital image, where the values of $I, r$, and $c$ are all integers. Here $I$ represents the discretized $f ;(r, c)$ represents the discretized $(x, y)$, where $r$ represents the image row, and $c$ represents the image column. The discussion in this book is related to digital images. Images or $f(x, y)$ are used to represent digital images without causing confusion. Unless otherwise specified, $f, x$, and $y$ are all taken their values in the integer set.

In the early days, the term “picture” was generally used to refer to images. With the development of digital technology, the term “image” is now used to represent a discretized “image” becausc “computcrs store numcrical images of a picturc or scenc” (Zhang 1996). Each basic unit in an image is called an image element, and in the early days, when the “picture” was used to represent an image, it was called a pixel. For 2-D images, “pel” has also been used to refer to the basic unit. If one collects a series of 2-D images or uses some special equipment, one can also get 3-D images. For 3-D images, voxel is often used to represent the basic unit. Someone has also suggested to use “imel” to represent various image units.

## 计算机代写|图像处理代写Image Processing代考|Resolution and Image Quality

Image quality is related to subjective and objective factors. In IP, the judgment of image quality often depends on human observation, but there are some related objective indicators. The most commonly used are the spatial resolution and amplitude resolution of the image.

The visual quality of an image is closely related to its spatial resolution and amplitude resolution. The following discusses the general situation in which the image quality deteriorates due to the decrease in the number of pixels and/or the number of gray-scale quantization levels.

Let’s take a look at how the visual quality of digital images deteriorates with the reduction of spatial resolution and amplitude resolution, to give some link between image quality and data volume.

For an image having more details with $512 \times 512$ pixels, 256 gray levels, if the number of gray levels is unchanged and only its spatial resolution (by pixel copy) is reduced to $256 \times 256$, a square checkerboard pattern may be seen at the boundaries of each region in the image, and the pixel particles become thicker in the whole image, which has a great influence on the texture region in the image. This effect is generally more obvious in the image of $128 \times 128$, and it is quite obvious in the image of $64 \times 64$ and image $32 \times 32$

Figure $1.4$ gives a set of image examples of the changing effect of spatial resolutions. Among them, the spatial resolution, the number of gray levels, and the amount of data of each image are shown in the columns of Table 1.1; the ratio of the amount of data between two adjacent images is also given in the corresponding two columns. Here, each image keeps the number of gray levels unchanged, and in turn, the spatial resolution of the previous image is successively halved in both horizontal and vertical directions.

1.1.1 图像表示与显示

1.1.1.1 图像和像素

## 有限元方法代写

tatistics-lab作为专业的留学生服务机构，多年来已为美国、英国、加拿大、澳洲等留学热门地的学生提供专业的学术服务，包括但不限于Essay代写，Assignment代写，Dissertation代写，Report代写，小组作业代写，Proposal代写，Paper代写，Presentation代写，计算机作业代写，论文修改和润色，网课代做，exam代考等等。写作范围涵盖高中，本科，研究生等海外留学全阶段，辐射金融，经济学，会计学，审计学，管理学等全球99%专业科目。写作团队既有专业英语母语作者，也有海外名校硕博留学生，每位写作老师都拥有过硬的语言能力，专业的学科背景和学术写作经验。我们承诺100%原创，100%专业，100%准时，100%满意。

## MATLAB代写

MATLAB 是一种用于技术计算的高性能语言。它将计算、可视化和编程集成在一个易于使用的环境中，其中问题和解决方案以熟悉的数学符号表示。典型用途包括：数学和计算算法开发建模、仿真和原型制作数据分析、探索和可视化科学和工程图形应用程序开发，包括图形用户界面构建MATLAB 是一个交互式系统，其基本数据元素是一个不需要维度的数组。这使您可以解决许多技术计算问题，尤其是那些具有矩阵和向量公式的问题，而只需用 C 或 Fortran 等标量非交互式语言编写程序所需的时间的一小部分。MATLAB 名称代表矩阵实验室。MATLAB 最初的编写目的是提供对由 LINPACK 和 EISPACK 项目开发的矩阵软件的轻松访问，这两个项目共同代表了矩阵计算软件的最新技术。MATLAB 经过多年的发展，得到了许多用户的投入。在大学环境中，它是数学、工程和科学入门和高级课程的标准教学工具。在工业领域，MATLAB 是高效研究、开发和分析的首选工具。MATLAB 具有一系列称为工具箱的特定于应用程序的解决方案。对于大多数 MATLAB 用户来说非常重要，工具箱允许您学习应用专业技术。工具箱是 MATLAB 函数（M 文件）的综合集合，可扩展 MATLAB 环境以解决特定类别的问题。可用工具箱的领域包括信号处理、控制系统、神经网络、模糊逻辑、小波、仿真等。

## CS代写|图像处理作业代写Image Processing代考|ECE6123

statistics-lab™ 为您的留学生涯保驾护航 在代写图像处理Image Processing方面已经树立了自己的口碑, 保证靠谱, 高质且原创的统计Statistics代写服务。我们的专家在代写图像处理Image Processing代写方面经验极为丰富，各种代写图像处理Image Processing相关的作业也就用不着说。

• Statistical Inference 统计推断
• Statistical Computing 统计计算
• Advanced Probability Theory 高等楖率论
• Advanced Mathematical Statistics 高等数理统计学
• (Generalized) Linear Models 广义线性模型
• Statistical Machine Learning 统计机器学习
• Longitudinal Data Analysis 纵向数据分析
• Foundations of Data Science 数据科学基础

## CS代写|图像处理作业代写Image Processing代考|Material Selection and Contents

This book focuses on (narrowly) IP (refer to Zhang 2017a) and selects seven types of technical fields and directions that are currently receiving widespread attention and are commonly used in many applications for introduction. They are as follows: (i) Image de-noising, (ii) Image de-blurring, (iii) Image repairing, (iv) Image de-fogging, (v) Image reconstruction from projection, (vi) Image watermarking, and (vii) Image super-resolution. Related terms appearing in the book can be found in (Zhang 2021).

Each chapter focuses on one type of technology. The following summarizes the contents of these seven chapters separately:

Chapter 2 introduces image denoising technology. Based on the analysis of common noise types and characteristics, it first summarizes some typical methods based on image filtering to eliminate noise and then discusses the selective filtering framework that can specifically eliminate different types of noise. It also introduces the switching median filtering methods and their improvements that have received a lot of research recently. Finally, some recent developments and further research are included.

Chapter 3 introduces image deblurring technology. After explaining the traditional image deblurring technology, the estimation of motion blur kernel with the help of a neural network and the deblurring method for low-resolution images are discussed. Finally, some recent developments and further research are included.

Chapter 4 introduces image inpainting technology. First, the origin of the name is explained, and then an algorithm combining sparse expression, a weighted sparse nonnegative matrix factorization algorithm and a context-driven hybrid method are introduced. Some recent developments have been introduced. Finally, some recent developments and further research are included.

Chapter 5 introduces the image defogging technology. First, it introduces the typical dark channel priori defogging algorithm and discusses some improvement techniques for its shortcomings. It also introduces the algorithm that focuses on reducing the distortion and the subjective and objective evaluation of the dehazing effect. Some recent developments have been introduced. Finally, some recent developments and further research are included.

Chapter 6 introduces techniques for image reconstruction from projections. First introduced different projection reconstruction methods, analyzed the principle of reconstructing images from projection, and then introduced methods such as inverse Fourier transform reconstruction, inverse projection reconstruction, and algebraic reconstruction in turn. Some recent developments have been introduced. Finally, some recent developments and further research are included.

Chapter 7 introduces image watermarking technology. After introducing the watermark embedding and detection process, the watermarking technology in the discrete cosine transform domain and the watermarking technology in the discrete wavelet transform domain are introduced respectively. Some recent developments have been introduced. Finally, some recent developments and further research are included.

Chapter 8 introduces super-resolution technology. After introducing the superresolution restoration based on a single image and the super-resolution reconstruction based on multiple images, the super-resolution technique based on learning and the reconstruction technique based on local constrained linear coding are introduced. Some recent developments have been introduced. Finally, some recent developments and further research are included.

## CS代写|图像处理作业代写Image Processing代考|Structure and Arrangement

The styles of the following chapters of this book are relatively consistent. At the beginning of each chapter, in addition to the introduction of the basic concepts and overall content, some application fields and occasions of the corresponding technologies are listed, which are reflected in the idea of application services; there is also an overview of each section to grasp the context of the whole chapter.

There are some similarities in the arrangement and structure of the body content of each chapter. Each chapter has multiple sections, which can be divided into the following three parts from beginning to end (corresponding to the three levels in Figure 1.14).

1. Principle and technology overview
The first section at the beginning of each chapter has the contents as in typical textbooks. It introduces the principle, history, use, method overview and development of the image technology. The goal is to give more comprehensive and basic information (a lot of examples and demonstrations can be found in Zhang (2011)), most of which come from professional textbooks (refer to (Zhang 2017a)).
2. Description of specific technical methods
The next few sections in the middle of each chapter have the contents combined from textbooks and monographs. They introduce several related typical technologies, which are described in detail in terms of methods. The goal is to give some ideas that can effectively and efficiently solve the problems faced by this type of image technology and provide solutions for practical applications. These sections can have a certain progressive relationship or a relatively independent parallel relationship. Many contents are mainly extracted from the literature in journals or conference papers. Most of them are followed up and researched, but they have not been written into professional textbooks or books.Introduction to recent developments and directions
3. The last section of each chapter is more research-oriented. It is based on the analysis and review of relevant new documents in some important journals or conference proceedings in recent years. The goal is to provide some of the latest relevant information on focusing techniques and to help understand the progress and trends in the corresponding technology.
4. The arrangement of the main text in sections of each chapter is shown in Table 1.5.
5. From the perspective of understanding the technical overview, one can only look at the sections of the principle introduction. If one wants to solve practical problems, one needs to learn some typical techniques. To master the technology more deeply, one can also refer to the recent progress/trends and look at more references.

## CS代写|图像处理作业代写Image Processing代考|Structure and Arrangement

1. 原理与技术概述
每章开头的第一节具有典型教科书的内容。介绍了图像技术的原理、历史、用途、方法概述和发展。目的是提供更全面和基础的信息（很多例子和演示可以在 Zhang (2011) 中找到），其中大部分来自专业教科书（参考（Zhang 2017a））。
2. 具体技术方法说明
每章中间的后面几节是结合教材和专着的内容。他们介绍了几种相关的典型技术，并从方法上进行了详细描述。目标是给出一些能够有效且高效地解决此类图像技术面临的问题的想法，并为实际应用提供解决方案。这些部分可以有一定的递进关系，也可以是相对独立的平行关系。许多内容主要是从期刊或会议论文中的文献中提取的。大部分都在跟进研究，但都没有写进专业的教科书或书籍。 近况及方向介绍
3. 每章的最后一节更注重研究。它是基于对近年来一些重要期刊或会议论文集中的相关新文件的分析和审查。目的是提供一些关于聚焦技术的最新相关信息，并帮助了解相应技术的进展和趋势。
4. 各章正文部分的安排如表1.5所示。
5. 从理解技术概述的角度来看，只能看原理介绍的章节。要想解决实际问题，就需要学习一些典型的技术。要更深入地掌握这项技术，还可以参考最近的进展/趋势并查看更多参考资料。

## 有限元方法代写

tatistics-lab作为专业的留学生服务机构，多年来已为美国、英国、加拿大、澳洲等留学热门地的学生提供专业的学术服务，包括但不限于Essay代写，Assignment代写，Dissertation代写，Report代写，小组作业代写，Proposal代写，Paper代写，Presentation代写，计算机作业代写，论文修改和润色，网课代做，exam代考等等。写作范围涵盖高中，本科，研究生等海外留学全阶段，辐射金融，经济学，会计学，审计学，管理学等全球99%专业科目。写作团队既有专业英语母语作者，也有海外名校硕博留学生，每位写作老师都拥有过硬的语言能力，专业的学科背景和学术写作经验。我们承诺100%原创，100%专业，100%准时，100%满意。

## MATLAB代写

MATLAB 是一种用于技术计算的高性能语言。它将计算、可视化和编程集成在一个易于使用的环境中，其中问题和解决方案以熟悉的数学符号表示。典型用途包括：数学和计算算法开发建模、仿真和原型制作数据分析、探索和可视化科学和工程图形应用程序开发，包括图形用户界面构建MATLAB 是一个交互式系统，其基本数据元素是一个不需要维度的数组。这使您可以解决许多技术计算问题，尤其是那些具有矩阵和向量公式的问题，而只需用 C 或 Fortran 等标量非交互式语言编写程序所需的时间的一小部分。MATLAB 名称代表矩阵实验室。MATLAB 最初的编写目的是提供对由 LINPACK 和 EISPACK 项目开发的矩阵软件的轻松访问，这两个项目共同代表了矩阵计算软件的最新技术。MATLAB 经过多年的发展，得到了许多用户的投入。在大学环境中，它是数学、工程和科学入门和高级课程的标准教学工具。在工业领域，MATLAB 是高效研究、开发和分析的首选工具。MATLAB 具有一系列称为工具箱的特定于应用程序的解决方案。对于大多数 MATLAB 用户来说非常重要，工具箱允许您学习应用专业技术。工具箱是 MATLAB 函数（M 文件）的综合集合，可扩展 MATLAB 环境以解决特定类别的问题。可用工具箱的领域包括信号处理、控制系统、神经网络、模糊逻辑、小波、仿真等。
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