


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 __UpperCAmelCase       (		__A ,						__A			)						->					List[str]:



       '''simple docstring'''





       UpperCAmelCase__										=     k_size // 2
       UpperCAmelCase__						,			UpperCAmelCase__										=     mgrid[0 - center : k_size - center, 0 - center : k_size - center]
       UpperCAmelCase__										=     1 / (2 * pi * sigma) * exp(-(square(__A			) + square(__A			)) / (2 * square(__A			))			)
       return g





def __UpperCAmelCase       (		__A ,						__A ,						__A			)						->					int:



       '''simple docstring'''





       UpperCAmelCase__						,			UpperCAmelCase__										=     image.shape[0], image.shape[1]
       # dst image height and width
       UpperCAmelCase__										=     height - k_size + 1
       UpperCAmelCase__										=     width - k_size + 1

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

       #  turn the kernel into shape(k*k, 1)
       UpperCAmelCase__										=     gen_gaussian_kernel(__A ,						__A			)
       UpperCAmelCase__										=     ravel(__A			)

       # reshape and get the dst image
       UpperCAmelCase__										=     dot(__A ,						__A			).reshape(__A ,						__A			).astype(__A			)

       return dst


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

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









class     lowercase__  :






  def __init__(					self      :					List[str]		,						_lowercase      :					list ):




         """simple docstring"""







         UpperCAmelCase__										=     set_counts
         UpperCAmelCase__										=     max(_lowercase )
         UpperCAmelCase__										=     len(_lowercase )
         UpperCAmelCase__										=     [1] * num_sets
         UpperCAmelCase__										=     list(range(_lowercase ) )






  def 			_UpperCAmelCase  (					self      :					Dict		,						_lowercase      :					int		,						_lowercase      :					int ):




         """simple docstring"""







         UpperCAmelCase__										=     self.get_parent(_lowercase )
         UpperCAmelCase__										=     self.get_parent(_lowercase )

         if src_parent == dst_parent:
                return False

         if self.ranks[dst_parent] >= self.ranks[src_parent]:
                self.set_counts[dst_parent] += self.set_counts[src_parent]
                UpperCAmelCase__										=     0
                UpperCAmelCase__										=     dst_parent
                if self.ranks[dst_parent] == self.ranks[src_parent]:
                       self.ranks[dst_parent] += 1
                UpperCAmelCase__										=     self.set_counts[dst_parent]
         else:
                self.set_counts[src_parent] += self.set_counts[dst_parent]
                UpperCAmelCase__										=     0
                UpperCAmelCase__										=     src_parent
                UpperCAmelCase__										=     self.set_counts[src_parent]

         UpperCAmelCase__										=     max(self.max_set		,						_lowercase )
         return True






  def 			_UpperCAmelCase  (					self      :					Optional[Any]		,						_lowercase      :					int ):




         """simple docstring"""







         if self.parents[disj_set] == disj_set:
                return disj_set
         UpperCAmelCase__										=     self.get_parent(self.parents[disj_set] )
         return self.parents[disj_set]





