code: 
  
  
  
  
  
  '''simple docstring'''
  
  
  
  
  
  
  
  import cva
  import numpy as np
  
  from digital_image_processing.filters.convolve import img_convolve
  from digital_image_processing.filters.sobel_filter import sobel_filter
  
  _a      :				List[str]											=					1_8_0
  
  
  
  
  
  def      _lowerCAmelCase		(		lowercase      ,			lowercase			)      ->      List[str]:
  			__lowerCAmelCase      		=       k_size // 2
  			__lowerCAmelCase		, __lowerCAmelCase      		=       np.mgrid[0 - center : k_size - center, 0 - center : k_size - center]
  			__lowerCAmelCase      		=       (
  			    1
  			    / (2 * np.pi * sigma)
  			    * np.exp(-(np.square(lowercase			) + np.square(lowercase			)) / (2 * np.square(lowercase			))			)
  			)
  			return g
  
  
  
  
  
  def      _lowerCAmelCase		(		lowercase      ,			lowercase      ,			lowercase			)      ->      Tuple:
  			__lowerCAmelCase      		=       np.zeros(lowercase			)
  
  			for row in range(1      ,			image_shape[0] - 1			):
  						for col in range(1      ,			image_shape[1] - 1			):
  									__lowerCAmelCase      		=       gradient_direction[row, col]
  
  									if (
  									    0 <= direction < PI / 8
  									    or 15 * PI / 8 <= direction <= 2 * PI
  									    or 7 * PI / 8 <= direction <= 9 * PI / 8
  									):
  												__lowerCAmelCase      		=       sobel_grad[row, col - 1]
  												__lowerCAmelCase      		=       sobel_grad[row, col + 1]
  												if sobel_grad[row, col] >= w and sobel_grad[row, col] >= e:
  															__lowerCAmelCase      		=       sobel_grad[row, col]
  
  									elif (
  									    PI / 8 <= direction < 3 * PI / 8
  									    or 9 * PI / 8 <= direction < 11 * PI / 8
  									):
  												__lowerCAmelCase      		=       sobel_grad[row + 1, col - 1]
  												__lowerCAmelCase      		=       sobel_grad[row - 1, col + 1]
  												if sobel_grad[row, col] >= sw and sobel_grad[row, col] >= ne:
  															__lowerCAmelCase      		=       sobel_grad[row, col]
  
  									elif (
  									    3 * PI / 8 <= direction < 5 * PI / 8
  									    or 11 * PI / 8 <= direction < 13 * PI / 8
  									):
  												__lowerCAmelCase      		=       sobel_grad[row - 1, col]
  												__lowerCAmelCase      		=       sobel_grad[row + 1, col]
  												if sobel_grad[row, col] >= n and sobel_grad[row, col] >= s:
  															__lowerCAmelCase      		=       sobel_grad[row, col]
  
  									elif (
  									    5 * PI / 8 <= direction < 7 * PI / 8
  									    or 13 * PI / 8 <= direction < 15 * PI / 8
  									):
  												__lowerCAmelCase      		=       sobel_grad[row - 1, col - 1]
  												__lowerCAmelCase      		=       sobel_grad[row + 1, col + 1]
  												if sobel_grad[row, col] >= nw and sobel_grad[row, col] >= se:
  															__lowerCAmelCase      		=       sobel_grad[row, col]
  
  			return destination
  
  
  
  
  
  def      _lowerCAmelCase		(		lowercase      ,			lowercase      ,			lowercase      ,			lowercase      ,			lowercase      ,			lowercase			)      ->      Tuple:
  			for row in range(1      ,			image_shape[0] - 1			):
  						for col in range(1      ,			image_shape[1] - 1			):
  									if destination[row, col] >= threshold_high:
  												__lowerCAmelCase      		=       strong
  									elif destination[row, col] <= threshold_low:
  												__lowerCAmelCase      		=       0
  									else:
  												__lowerCAmelCase      		=       weak
  
  
  
  
  
  def      _lowerCAmelCase		(		lowercase      ,			lowercase      ,			lowercase      ,			lowercase			)      ->      Dict:
  			for row in range(1      ,			image_shape[0]			):
  						for col in range(1      ,			image_shape[1]			):
  									if destination[row, col] == weak:
  												if 255 in (
  												    destination[row, col + 1],
  												    destination[row, col - 1],
  												    destination[row - 1, col],
  												    destination[row + 1, col],
  												    destination[row - 1, col - 1],
  												    destination[row + 1, col - 1],
  												    destination[row - 1, col + 1],
  												    destination[row + 1, col + 1],
  												):
  															__lowerCAmelCase      		=       strong
  												else:
  															__lowerCAmelCase      		=       0
  
  
  
  
  
  def      _lowerCAmelCase		(		lowercase      ,			lowercase=15      ,			lowercase=30      ,			lowercase=128      ,			lowercase=255			)      ->      Optional[int]:
  			# gaussian_filter
  			__lowerCAmelCase      		=       img_convolve(lowercase      ,			gen_gaussian_kernel(9      ,			sigma=1.4			)			)
  			# get the gradient and degree by sobel_filter
  			__lowerCAmelCase		, __lowerCAmelCase      		=       sobel_filter(lowercase			)
  			__lowerCAmelCase      		=       PI + np.radadeg(lowercase			)
  
  			__lowerCAmelCase      		=       suppress_non_maximum(image.shape      ,			lowercase      ,			lowercase			)
  
  			detect_high_low_threshold(
  			    image.shape      ,			lowercase      ,			lowercase      ,			lowercase      ,			lowercase      ,			lowercase			)
  
  			track_edge(image.shape      ,			lowercase      ,			lowercase      ,			lowercase			)
  
  			return destination
  
  
  if __name__ == "__main__":
  	# read original image in gray mode
  	_a      :				List[str]											=					cva.imread(r"""../image_data/lena.jpg""", 0)
  	# canny edge detection
  	_a      :				Tuple											=					canny(lena)
  	cva.imshow("""canny""", canny_destination)
  	cva.waitKey(0)
  
  
  
style_context: 
  
  
  
  
  
  '''simple docstring'''
  
  
  
  
  
  
  
  def      _lowerCAmelCase		(		lowercase = 1000			)      ->      int:
  			__lowerCAmelCase      		=       []
  			__lowerCAmelCase      		=       []
  			__lowerCAmelCase      		=       3
  			__lowerCAmelCase      		=       5
  			__lowerCAmelCase      		=       1
  			while True:
  						__lowerCAmelCase      		=       z * temp
  						if result < n:
  									zmulti.append(lowercase			)
  									temp += 1
  						else:
  									__lowerCAmelCase      		=       1
  									break
  			while True:
  						__lowerCAmelCase      		=       x * temp
  						if result < n:
  									xmulti.append(lowercase			)
  									temp += 1
  						else:
  									break
  			__lowerCAmelCase      		=       list(set(xmulti + zmulti			)			)
  			return sum(lowercase			)
  
  
  if __name__ == "__main__":
  	print(f'{solution() = }')
  
  