关于使用卷积的自定义高斯模糊的问题

G(x,y) = (1/(2*π*σ^2))*exp(-(x^2+y^2)/(2*σ^2))

import numpy as np
import cv2

def gaussian_blur(image, kernel_size, sigma):
    # 生成卷积核
    kernel = np.zeros((kernel_size, kernel_size))
    for i in range(kernel_size):
        for j in range(kernel_size):
            kernel[i, j] = (1/(2*np.pi*sigma**2))*np.exp(-(i**2+j**2)/(2*sigma**2))
    # 归一化卷积核
    kernel /= np.sum(kernel)
    # 卷积操作
    result = np.zeros_like(image)
    for i in range(image.shape[0]):
        for j in range(image.shape[1]):
            result[i, j] = np.sum(image[i:i+kernel_size, j:j+kernel_size]*kernel)
    return result

# 读取图像
image = cv2.imread('image.jpg')
# 高斯模糊
result = gaussian_blur(image, 5, 1.4)
# 显示结果
cv2.imshow('result', result)
cv2.waitKey(0)
cv2.destroyAllWindows()