非对称径向基函数与稳定边界图像变形算法  

Boundary Stabilized Image Morphing with Asymmetrical Radial Basis Functions

作　　者：李旭东[1] 张振跃[1] 

机构地区：[1]浙江大学数学系,杭州310027

出　　处：《计算机辅助设计与图形学学报》2004年第6期747-752,共6页Journal of Computer-Aided Design & Computer Graphics

基　　金：国家重点基础研究发展规划 (G19990 3 2 80 4)资助

摘　　要：提出了一种基于非对称径向基函数的图像变形算法 ,该算法克服了基于对称径向基函数算法中由于对称径向基函数的全局性导致的图像边界变形过大的不合理变形现象 实验结果表明 ,文中算法简单、有效 ,得到的变形图像既具有基于对称径向基函数算法所得的变形图像的光滑性 ,又具有良好的局部变形效果 。Traditional image morphing algorithm using symmetrical radial basis functions often causes distinct warping on image boundary. An approach of introducing asymmetrical radial basis functions is presented to control asymmetrical range and hence keep the boundary of morphed image stable. Experimental results show that such an approach is effective and the morphed images give good local morphing results with fair smoothness comparable to that produced by symmetrical radial bases, and most importantly, have stable image boundary.

关 键 词：图像变形 图像扭曲 径向基函数 奇异值分解 矩阵低秩逼近 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]