


"""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  (  _snake_case :	Dict       ,      _snake_case :	int	):
      lowerCAmelCase    :		Dict				=      k_size // 2
      lowerCAmelCase,					lowerCAmelCase    :		int				=      mgrid[0 - center : k_size - center, 0 - center : k_size - center]
      lowerCAmelCase    :		Dict				=      1 / (2 * pi * sigma) * exp(-(square(_snake_case	) + square(_snake_case	)) / (2 * square(_snake_case	))	)
      return g


def    _snake_case  (  _snake_case :	List[Any]       ,      _snake_case :	Dict       ,      _snake_case :	List[str]	):
      lowerCAmelCase,					lowerCAmelCase    :		Optional[Any]				=      image.shape[0], image.shape[1]
      # dst image height and width
      lowerCAmelCase    :		str				=      height - k_size + 1
      lowerCAmelCase    :		Any				=      width - k_size + 1

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

      #  turn the kernel into shape(k*k, 1)
      lowerCAmelCase    :		Dict				=      gen_gaussian_kernel(_snake_case       ,      _snake_case	)
      lowerCAmelCase    :		Union[str, Any]				=      ravel(_snake_case	)

      # reshape and get the dst image
      lowerCAmelCase    :		Any				=      dot(_snake_case       ,      _snake_case	).reshape(_snake_case       ,      _snake_case	).astype(_snake_case	)

      return dst


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

 # get values with two different mask size
 snake_case__						:   Optional[int]			 = gaussian_filter(gray, 3, sigma=1)
 snake_case__						:   Union[str, Any]			 = 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 numpy as np


def    _snake_case  (  _snake_case :	np.array	):
      return 1 / (1 + np.exp(-vector	))


if __name__ == "__main__":
 import doctest

 doctest.testmod()


