中文摘要：

采用线性代数L2向量空间Householder变换-Norm（范数）构造函数,实现了遥感影像的边缘增强.影像实验结果与传统的Laplacian和Sobel边缘增强进行比较表明,本算法的边缘增强效果要优于Laplacian和Sobel边缘增强,为遥感影像的边缘增强提供了一种新的手段.

英文摘要：

The Householder transformation-norm structure function in L2 vector space of linear algebra is introduced, and the edge enhancement for remote sensing images is realized. The experiment result was compared with traditional Laplacian and Sobel edge enhancements and showed that the effect of this new method is better than the traditional algorithms. The new algorithm provides a new approach for remote sensing images.