卵形线支撑函数在血管截面重建中的应用  

Application of Support Function of Convex Curve in the Vessel Cross-sectional Reconstruction

作　　者：俞恒永[1] 牟轩沁[1] 蔡元龙[1] 

机构地区：[1]西安交通大学电信学院图像所,西安710049

出　　处：《工程数学学报》2003年第1期115-118,共4页Chinese Journal of Engineering Mathematics

基　　金：国家自然科学基金项目(30070225);国家"863计划"项目(863 306 06 06);教育部高等学校骨干教师基金.

摘　　要：依据布尔雷唐(Radon)变换的性质,从包络线理论出发,利用支撑函数的观点,使用差分方法解决了血管截面的重建问题。同时,讨论了重建过程中的误差放大现象,给出了解决方案。According to the properties of Boolean Radon transform and the theory of envelope, the problem of crosssectional reconstruction of vessel has been solved by the means of support function and difference method. Meanwhile, the error magnification phenomena have been discussed and the corresponding resolvent has been proposed as well.

关 键 词：布尔雷唐变换 误差放大现象 X线图像 卵形线支撑函数 血管 截面重建 

分 类 号：R814.4[医药卫生—影像医学与核医学]