






import cva
import numpy as np


class        __UpperCamelCase    :







 def __init__(  self      :							Union[str, Any]       ,				_lowerCAmelCase      :							float       ,				_lowerCAmelCase      :							int			)		-> Optional[Any]:
  """simple docstring"""







  if k in (0.04, 0.06):
   __lowercase             =  k
   __lowercase             =  window_size
  else:
   raise ValueError("""invalid k value"""			)







 def __str__(  self      :							Optional[int]			)		-> str:
  """simple docstring"""







  return str(self.k			)







 def  _a   (  self      :							Optional[int]       ,				_lowerCAmelCase      :							str			)		-> tuple[cva.Mat, list[list[int]]]:
  """simple docstring"""







  __lowercase             =  cva.imread(_lowerCAmelCase       ,				0			)
  __lowercase             =  img.shape
  __lowercase             =  []
  __lowercase             =  img.copy()
  __lowercase             =  cva.cvtColor(_lowerCAmelCase       ,				cva.COLOR_GRAY2RGB			)
  __lowercase             =  np.gradient(_lowerCAmelCase			)
  __lowercase             =  dx**2
  __lowercase             =  dy**2
  __lowercase             =  dx * dy
  __lowercase             =  0.04
  __lowercase             =  self.window_size // 2
  for y in range(_lowerCAmelCase       ,				h - offset			):
   for x in range(_lowerCAmelCase       ,				w - offset			):
    __lowercase             =  ixx[
        y - offset : y + offset + 1, x - offset : x + offset + 1
    ].sum()
    __lowercase             =  iyy[
        y - offset : y + offset + 1, x - offset : x + offset + 1
    ].sum()
    __lowercase             =  ixy[
        y - offset : y + offset + 1, x - offset : x + offset + 1
    ].sum()

    __lowercase             =  (wxx * wyy) - (wxy**2)
    __lowercase             =  wxx + wyy
    __lowercase             =  det - k * (trace**2)
    # Can change the value
    if r > 0.5:
     corner_list.append([x, y, r]			)
     color_img.itemset((y, x, 0)       ,				0			)
     color_img.itemset((y, x, 1)       ,				0			)
     color_img.itemset((y, x, 2)       ,				255			)
  return color_img, corner_list


if __name__ == "__main__":
      __UpperCamelCase      :      Optional[int]     						=						HarrisCorner(0.0_4, 3)
      __UpperCamelCase      :      Dict     						=						edge_detect.detect("""path_to_image""")
      cva.imwrite("""detect.png""", color_img)









from __future__ import annotations

from scipy.special import comb  # type: ignore


class        __UpperCamelCase    :







	def __init__(  self      :							int       ,				_lowerCAmelCase      :							list[tuple[float, float]]			)		-> Any:
		"""simple docstring"""







		__lowercase             =  list_of_points
		# Degree determines the flexibility of the curve.
		# Degree = 1 will produce a straight line.
		__lowercase             =  len(_lowerCAmelCase			) - 1







	def  _a   (  self      :							Tuple       ,				_lowerCAmelCase      :							float			)		-> list[float]:
		"""simple docstring"""







		assert 0 <= t <= 1, "Time t must be between 0 and 1."
		__lowercase             =  []
		for i in range(len(self.list_of_points			)			):
			# basis function for each i
			output_values.append(
			    comb(self.degree       ,				_lowerCAmelCase			) * ((1 - t) ** (self.degree - i)) * (t**i)			)
		# the basis must sum up to 1 for it to produce a valid Bezier curve.
		assert round(sum(_lowerCAmelCase			)       ,				5			) == 1
		return output_values







	def  _a   (  self      :							List[str]       ,				_lowerCAmelCase      :							float			)		-> tuple[float, float]:
		"""simple docstring"""







		assert 0 <= t <= 1, "Time t must be between 0 and 1."

		__lowercase             =  self.basis_function(_lowerCAmelCase			)
		__lowercase             =  0.0
		__lowercase             =  0.0
		for i in range(len(self.list_of_points			)			):
			# For all points, sum up the product of i-th basis function and i-th point.
			x += basis_function[i] * self.list_of_points[i][0]
			y += basis_function[i] * self.list_of_points[i][1]
		return (x, y)







	def  _a   (  self      :							Optional[int]       ,				_lowerCAmelCase      :							float = 0.01			)		-> Union[str, Any]:
		"""simple docstring"""







		from matplotlib import pyplot as plt  # type: ignore

		__lowercase             =  []  # x coordinates of points to plot
		__lowercase             =  []  # y coordinates of points to plot

		__lowercase             =  0.0
		while t <= 1:
			__lowercase             =  self.bezier_curve_function(_lowerCAmelCase			)
			to_plot_x.append(value[0]			)
			to_plot_y.append(value[1]			)
			t += step_size

		__lowercase             =  [i[0] for i in self.list_of_points]
		__lowercase             =  [i[1] for i in self.list_of_points]

		plt.plot(
		    _lowerCAmelCase       ,				_lowerCAmelCase       ,				color="""blue"""       ,				label="""Curve of Degree """ + str(self.degree			)       ,				)
		plt.scatter(_lowerCAmelCase       ,				_lowerCAmelCase       ,				color="""red"""       ,				label="""Control Points"""			)
		plt.legend()
		plt.show()


if __name__ == "__main__":
						import doctest

						doctest.testmod()

						BezierCurve([(1, 2), (3, 5)]).plot_curve()  # degree 1
						BezierCurve([(0, 0), (5, 5), (5, 0)]).plot_curve()  # degree 2
						BezierCurve([(0, 0), (5, 5), (5, 0), (2.5, -2.5)]).plot_curve()  # degree 3

