






"""simple docstring"""
from itertools import product

from cva import COLOR_BGR2GRAY, cvtColor, imread, imshow, waitKey
from numpy import dot, exp, mgrid, pi, ravel, square, uinta, zeros

def 							snake_case (  A__      ,A__		):
			UpperCAmelCase_	:					Union[str, Any]     	=   k_size // 2
			UpperCAmelCase_	,      UpperCAmelCase_	:					Optional[int]     	=   mgrid[0 - center : k_size - center, 0 - center : k_size - center]
			UpperCAmelCase_	:					List[str]     	=   1 / (2 * pi * sigma) * exp(-(square(A__		) + square(A__		)) / (2 * square(A__		))		)
			return g

def 							snake_case (  A__      ,A__      ,A__		):
			UpperCAmelCase_	,      UpperCAmelCase_	:					str     	=   image.shape[0], image.shape[1]
			# dst image height and width
			UpperCAmelCase_	:					int     	=   height - k_size + 1
			UpperCAmelCase_	:					List[str]     	=   width - k_size + 1

			# im2col, turn the k_size*k_size pixels into a row and np.vstack all rows
			UpperCAmelCase_	:					Union[str, Any]     	=   zeros((dst_height * dst_width, k_size * k_size)		)
			UpperCAmelCase_	:					Tuple     	=   0
			for i, j in product(range(A__		)      ,range(A__		)		):
						UpperCAmelCase_	:					str     	=   ravel(image[i : i + k_size, j : j + k_size]		)
						UpperCAmelCase_	:					str     	=   window
						row += 1

			#  turn the kernel into shape(k*k, 1)
			UpperCAmelCase_	:					str     	=   gen_gaussian_kernel(A__      ,A__		)
			UpperCAmelCase_	:					int     	=   ravel(A__		)

			# reshape and get the dst image
			UpperCAmelCase_	:					int     	=   dot(A__      ,A__		).reshape(A__      ,A__		).astype(A__		)

			return dst


if __name__ == "__main__":
			# read original image
			lowerCamelCase_							      = imread(r'''../image_data/lena.jpg''')
			# turn image in gray scale value
			lowerCamelCase_							      = cvtColor(img, COLOR_BGR2GRAY)

			# get values with two different mask size
			lowerCamelCase_							      = gaussian_filter(gray, 3, sigma=1)
			lowerCamelCase_							      = gaussian_filter(gray, 5, sigma=0.8)

			# show result images
			imshow('''gaussian filter with 3x3 mask''', gaussianaxa)
			imshow('''gaussian filter with 5x5 mask''', gaussianaxa)
			waitKey()











"""simple docstring"""
import os
from typing import Dict, List, Tuple, TypeVar, Union


lowerCamelCase_							      = TypeVar('''T''')

lowerCamelCase_							      = Union[List[T], Tuple[T, ...]]
lowerCamelCase_							      = Union[T, List[T], Dict[str, T]]
lowerCamelCase_							      = Union[str, bytes, os.PathLike]



