python手动实现cv2.canny算子

好的，下面是Python手动实现cv2.canny算子的代码：

import cv2
import numpy as np

def canny(image, low_threshold, high_threshold):
    # Convert the image to grayscale
    gray = cv2.cvtColor(image, cv2.COLOR_BGR2GRAY)
    # Apply Gaussian blur to the grayscale image
    blur = cv2.GaussianBlur(gray, (5, 5), 0)
    # Apply the Sobel operator to the blurred image
    sobelx = cv2.Sobel(blur, cv2.CV_64F, 1, 0, ksize=3)
    sobely = cv2.Sobel(blur, cv2.CV_64F, 0, 1, ksize=3)
    # Compute the gradient magnitude and direction
    mag = np.sqrt(sobelx**2 + sobely**2)
    theta = np.arctan2(sobely, sobelx)
    # Convert the gradient direction to degrees
    angle = np.rad2deg(theta)
    # Apply non-maximum suppression
    nms = np.zeros_like(mag)
    for i in range(1, nms.shape[0]-1):
        for j in range(1, nms.shape[1]-1):
            if (angle[i,j] <= 22.5 and angle[i,j] > -22.5) or (angle[i,j] <= -157.5 and angle[i,j] > 157.5):
                if mag[i,j] > mag[i,j-1] and mag[i,j] > mag[i,j+1]:
                    nms[i,j] = mag[i,j]
            elif (angle[i,j] <= 67.5 and angle[i,j] > 22.5) or (angle[i,j] <= -112.5 and angle[i,j] > -157.5):
                if mag[i,j] > mag[i-1,j-1] and mag[i,j] > mag[i+1,j+1]:
                    nms[i,j] = mag[i,j]
            elif (angle[i,j] <= 112.5 and angle[i,j] > 67.5) or (angle[i,j] <= -67.5 and angle[i,j] > -112.5):
                if mag[i,j] > mag[i-1,j] and mag[i,j] > mag[i+1,j]:
                    nms[i,j] = mag[i,j]
            elif (angle[i,j] <= 157.5 and angle[i,j] > 112.5) or (angle[i,j] <= -22.5 and angle[i,j] > -67.5):
                if mag[i,j] > mag[i-1,j+1] and mag[i,j] > mag[i+1,j-1]:
                    nms[i,j] = mag[i,j]
    # Apply hysteresis thresholding
    edges = np.zeros_like(nms)
    edges[nms > high_threshold] = 255
    edges[nms < low_threshold] = 0
    for i in range(1, edges.shape[0]-1):
        for j in range(1, edges.shape[1]-1):
            if edges[i,j] == 255:
                if edges[i-1,j-1] == 0:
                    edges[i-1,j-1] = 128
                if edges[i-1,j] == 0:
                    edges[i-1,j] = 128
                if edges[i-1,j+1] == 0:
                    edges[i-1,j+1] = 128
                if edges[i,j-1] == 0:
                    edges[i,j-1] = 128
                if edges[i,j+1] == 0:
                    edges[i,j+1] = 128
                if edges[i+1,j-1] == 0:
                    edges[i+1,j-1] = 128
                if edges[i+1,j] == 0:
                    edges[i+1,j] = 128
                if edges[i+1,j+1] == 0:
                    edges[i+1,j+1] = 128
    edges[edges == 128] = 255
    edges[edges != 255] = 0
    return edges.astype(np.uint8)

其中，参数`image`为待处理的图像，`low_threshold`和`high_threshold`分别为低阈值和高阈值。返回值为处理后的二值图像。

该函数的实现过程如下：

1. 将图像转换为灰度图像；
2. 对灰度图像进行高斯模糊；
3. 对模糊后的图像进行Sobel算子计算，得到水平方向和垂直方向的梯度；
4. 计算每个像素点的梯度幅值和梯度方向；
5. 对梯度方向进行非极大值抑制，保留每个方向上梯度幅值最大的像素点；
6. 对抑制后的图像进行双阈值边缘连接，将高于高阈值的像素点视为强边缘，低于低阈值的像素点视为背景，介于两者之间的像素点视为弱边缘；
7. 对弱边缘像素点进行连接，将其与其相邻的强边缘像素点连接起来，最终得到二值图像。

需要注意的是，该函数的实现并不能完全等同于cv2.canny函数的实现，因为在非极大值抑制和边缘连接的过程中可能存在一些差异。