基于曲线坐标系下扩散方程的形态学开.闭运算  

Morphological Open-Close Operation Based on the Diffusion Equation on the Curve Coordinate System

作　　者：顾晓东[1] 王晓明[1] 刘健[1] 

机构地区：[1]大连理工大学机械工程学院现代制造技术研究所,辽宁大连116024

出　　处：《小型微型计算机系统》2003年第12期2174-2176,共3页Journal of Chinese Computer Systems

基　　金：国家自然基金项目资助 (5980 50 0 1 ) ;辽宁省自然科学基金项目资助 (981 0 2 0 0 1 0 2 )

摘　　要：形态学开、闭运算以腐蚀和膨胀为基础 .图像的腐蚀和膨胀统一为笛卡尔直角坐标系下几何制约扩散方程对图像灰度等值线的演化 .针对许多曲面上图像 ,比如柱面帖图 ,球面帖图 ,结合深度信息采用曲线坐标系下的几何制约扩散方程 (曲面上曲线的演化 )来进行形态学运算是一种新的尝试 ,从结果可以看到处理效果明显优于普通的方法 .The Open-Close operation is a fundamental operation in mathematical morphology. Currently the popular method firstly to be used is the geometry guided diffusion equation which is based on the Cartesian coordinate system, for the isophote(the curve of constant value of image graylevel) being evolved, then the Open-Close operation can be being.It is not conformable with many surface map image such as cylindrical map image,spherical map image ,which can be found in reality. This paper put forward a united geometry guided diffusion equation which is based on the curve coordinate system for the signals being eroded and dilated,then the Open-Close operation can be being.the practical numerical experiment results showed that this method produced the better effect compare with old method .

关 键 词：曲线坐标系 几何制约扩散方程 形态学 开运算 闭运算 图像处理 

分 类 号：TP391.41[自动化与计算机技术—计算机应用技术]