如何在python中实现内核为[3,3]的高斯滤波器？

import cv2
import numpy as np

def gaussian_filter(image):
    # 定义高斯内核
    kernel = np.array([[1, 2, 1],
                       [2, 4, 2],
                       [1, 2, 1]]) / 16

    # 使用filter2D函数进行滤波
    filtered_image = cv2.filter2D(image, -1, kernel)

    return filtered_image

# 读取图像
image = cv2.imread('image.jpg', cv2.IMREAD_GRAYSCALE)

# 进行高斯滤波
filtered_image = gaussian_filter(image)

# 显示原始图像和滤波后的图像
cv2.imshow('Original Image', image)
cv2.imshow('Filtered Image', filtered_image)
cv2.waitKey(0)
cv2.destroyAllWindows()