形状插值算法综述  

Survey on Shape Interpolation

作　　者：张智邦[1] 李桂清[1] 韦国栋[1] 王宇攀 路慧娜 袁青[1] 

机构地区：[1]华南理工大学计算机科学与工程学院,广州510006

出　　处：《计算机辅助设计与图形学学报》2015年第8期1376-1387,共12页Journal of Computer-Aided Design & Computer Graphics

基　　金：国家自然科学基金青年科学基金(61300136);中央高校基本科研业务费(2013ZM087);教育部博士点基金(20130172120010);广东省自然科学基金(S2013020012795)

摘　　要：给定2个以上的几何模型,形状插值的目的是生成一系列新模型,能够建立给定模型之间自然的形状过渡.形状插值是计算机动画中的一个基本操作.文中以插值量为主线,对多边形和网格模型形状插值的相关工作进行分析梳理;讨论插值结果应满足的一些重要性质,提出分类方法,对一些重要工作进行较详细的介绍与评述,并分析它们的优缺点;特别地,深入探讨各种方法的大变形插值能力.最后,总结存在的问题并尝试提出一些新的研究方向.Given two or more geometric models, the goal of shape interpolation is to create a sequence of intermediate models which establish natural smooth transition between given shapes. We review existing shape interpolating approaches from the viewpoint of quantities of intermediate shapes obtained by linearly interpolating those of the given shapes. Some important properties of shape interpolating approaches are summarized, classification methodology is discussed, some important interpolation methods are described and commented, and their pros and cons are analyzed. Particularly, we investigate the ability of these approaches to deal with interpolation with large deformation. Finally, we draw some open problems in shape interpolation.

关 键 词：计算机图形学 形状插值 大变形 插值量 

分 类 号：TP391.41[自动化与计算机技术—计算机应用技术]