Free-Form Deformation with Rational DMS-Spline Volumes  

作　　者：徐岗 汪国昭 陈小雕 

机构地区：[1]Institute of Computer Graphics and Image Processing, Zhejiang University [2]Department of Mathematics, Zhejiang University [3]College of Computer Science, Hangzhou Dianzi University [4]INRIA, Nancy, France

出　　处：《Journal of Computer Science & Technology》2008年第5期862-873,共12页计算机科学技术学报（英文版）

基　　金：supported by the National Natural Science Foundation of China under Grant Nos. 60773179 and 60473130;the National Basic Research 973 Program of China under Grant No. 2004CB318000

摘　　要：In this paper, we propose a novel free-form deformation （FFD） technique, RDMS-FFD （Rational DMS-FFD）, based on rational DMS-spline volumes. RDMS-FFD inherits some good properties of rational DMS-spline volumes and combines more deformation techniques than previous FFD methods in a consistent framework, such as local deformation, control lattice of arbitrary topology, smooth deformation, multiresolution deformation and direct manipulation of deformation. We first introduce the rational DMS-spline volume by directly generalizing the previous results related to DMS-splines. How to generate a tetrahedral domain that approximates the shape of the object to be deformed is also introduced in this paper. Unlike the traditional FFD techniques, we manipulate the vertices of the tetrahedral domain to achieve deformation results. Our system demonstrates that RDMS-FFD is powerful and intuitive in geometric modeling.In this paper, we propose a novel free-form deformation （FFD） technique, RDMS-FFD （Rational DMS-FFD）, based on rational DMS-spline volumes. RDMS-FFD inherits some good properties of rational DMS-spline volumes and combines more deformation techniques than previous FFD methods in a consistent framework, such as local deformation, control lattice of arbitrary topology, smooth deformation, multiresolution deformation and direct manipulation of deformation. We first introduce the rational DMS-spline volume by directly generalizing the previous results related to DMS-splines. How to generate a tetrahedral domain that approximates the shape of the object to be deformed is also introduced in this paper. Unlike the traditional FFD techniques, we manipulate the vertices of the tetrahedral domain to achieve deformation results. Our system demonstrates that RDMS-FFD is powerful and intuitive in geometric modeling.

关 键 词：free-form deformation rational DMS-spline volume control lattice of arbitrary topology multiresolution deformation direct manipulation 

分 类 号：TP391.7[自动化与计算机技术—计算机应用技术]