一种基于矢量伸缩函数的参数曲面插值变形方法  

A Method of Interpolation Deformation Based on Vector Extension Function for Parametric Surface

作　　者：周正华[1] 

机构地区：[1]中国计量学院理学院,杭州310018

出　　处：《中国图象图形学报》2009年第11期2328-2332,共5页Journal of Image and Graphics

摘　　要：为了对参数曲面进行精确变形,可通过构造特殊矢量伸缩函数来实现参数曲面的插值变形。变形时,先在曲面选取变形辅助点,并利用这些辅助点构造矢量伸缩函数;然后基于矢量叠加原理用此伸缩矢量函数去作用曲面,使曲面发生变形且变形后通过给定的插值点。插值变形结果表明,此方法不仅能够精确控制变形范围,而且在变形与未变形部分之间具有C^2连续性。In order to realize the accurate deformation of the parametric surface, a special vector extension function was established to realize the interpolation deformation for parametric surface, in the course of the deformation. First, some deformation auxiliary data on the surface is chosen to construct the extension vector function, which is used to make the surface deform based on vector addition and ensures the deformed surface passing through the given position data. The deformation results show that the method can not only control the deformation region accurately but also make the deformation domain and the undiformation domain of the surface connect to C^2 continuity.

关 键 词：参数曲面 插值变形 伸缩矢量函数 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]