基于张量的图象边缘检测及滤波  

Tensor Based Image Edge Detection and Filtration

作　　者：王晓明[1] 顾晓东[1] 刘健[1] 

机构地区：[1]大连理工大学机械工程学院,大连116024

出　　处：《中国图象图形学报（A辑）》2002年第8期780-782,共3页Journal of Image and Graphics

基　　金：国家自然科学基金 (5 980 5 0 0 1);辽宁省自然科学基金 (9810 2 0 0 10 2 )

摘　　要：边缘检测是数字图象处理中一种重要的处理手段 ,目前普遍采用的方法是基于直角坐标系下的 L aplacian算子 ,取其零交叉位置来检测 .而现实中 ,往往可见到许多曲面上的图象 ,比如柱面贴图 ,球面贴图 ,动态景物的数字化效果以及三维医学图象 ,结合深度信息采用基于微分几何曲线坐标系下的算子进行图象边缘检测及滤波是一种新的尝试 .从结果可以看到 ,处理效果明显优于普通的方法 .This paper put forward a method of image edge detection and filtration on the curve coordinate system by the use of operator on the curve coordinate system.Edge detection is a important process in image processing, currently the popular method firstly to be used is the Laplacian operator on the Cartesian coordinate system, then the zero-crossing of the Laplacian operator can be found as edge point; image filtration is the convolution result of the differential operator on the Cartesian coordinate system too. It is not fit to deal with many images painted on surfaces such as cylindrical map image, spherical map image,digital effects for motion pictures and medical regime on three dimensional scans of organs. We make use of the differential operator on the curve coordinate system for processing images on surfaces. The practical numerical experiment results showed that differential operator on the curve coordinate system is capability for processing images on surfaces.

关 键 词：曲线坐标系 LAPLACIAN算子 边缘检测 扩散方程 图象滤波 数字图象处理 计算机视觉 张量 

分 类 号：TP391.41[自动化与计算机技术—计算机应用技术]