Laplacian operator

例句：

1. 1. In the field of image processing, the Laplacian operator is widely used to detect edges in images.
   在图像处理领域，拉普拉斯算子被广泛使用来检测图像中的边缘。
2. 2. The Laplacian operator has been proven to be effective in reducing noise in noisy data.
   拉普拉斯算子已被证明在减少噪声数据中的噪音方面是有效的。
3. 3. The Laplacian operator is a powerful tool for analyzing complex systems and their behavior.
   拉普拉斯算子是分析复杂系统及其行为的强大工具。