多边形物体的精确B-样条自由变形  

Accurate B-spline Free-Form Deformation of Polygonal Objects

作　　者：冯结青[1] 彭群生[1] 

机构地区：[1]浙江大学CAD&CG国家重点实验室,杭州310027

出　　处：《软件学报》1999年第10期1009-1015,共7页Journal of Software

基　　金：国家自然科学基金

摘　　要：在计算机动画与几何造型中，自由变形是一种重要的几何形状修改方法．该文从移位算子和函数复合的观点探讨一种方法，即当被变形物体用三角片表示、变形工具为B-样条参数体时，变形后的物体可以精确地表示为一组三角Ｂézｉｅｒ曲面片，其次数为Ｂ-样条参数体３个方向的次数之和.此方法的核心在于自由变形是作用在三角片上，而不是顶点上，所以解决了多边形物体Ｂ－样条自由变形的点采样问题．Free-form deformation is an important geometric shape modification method in computer animationand geometric modeling. The authors explore it by means of functional composition via shifting operators in thispaper. When the object to be deformed is represented by triangular meshes and the deformation tool is a B-splinevolume, the deformed object can be accurately described as a set of triangular Bezier patches, whose degree is thesum of three directional degrees of the B-spline volume. The proposed method also solves the sample problem offree-form deformation, because free-form deformation acts on triangular meshes rather than points.

关 键 词：自由变形 计算机动画 多边形 B样条 几何造型 

分 类 号：TP391.41[自动化与计算机技术—计算机应用技术] TP391.72[自动化与计算机技术—计算机科学与技术]