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3D Morphing Using Strain Field Interpolation

ISSN号：1000-9000
期刊名称：《计算机科学技术学报：英文版》
时间：0
分类：TP301.6[自动化与计算机技术—计算机系统结构;自动化与计算机技术—计算机科学与技术]
作者机构：[1]National Computer Network Emergency Response Technical Team/Coordination Center of China, Beijing 100029, China, [2]Department of Computer Science and Technology, Tsinghua University, Beijing 100084, China, [3]School of Computer Science, Cardiff University, Cardiff, U.K.
相关基金：This work was done while Han-Bing Yan was a Ph.D. candidate in Tsinghua University. This work was supported by the National Natural Science Foundation of China （Grant Nos. 60673004 and 60333010）, the National Grand Fundamental Research 973 Program of China （Grant No, 2006CB303106） and the Basic Research Foundation of Tsinghua National Laforatory for Information Science and Technology （TNList）, We acknowledge Qi-Xing Huang and Qian-Yi Zhou＇s help in our work. We would also like to thank Bruno Levy for providing the elephant model.

关键词：渐变, 应变场, 插值, 形状, 失真, 计算机, 算法理论, morphing, strain field, interpolation

中文摘要：

在这篇论文，我们在场一种新技术基于种类回答在计算机图形为应用执行 3D morphing；相关区域。种类是在力学过去常描述目标的变丑的重要几何数量。我们以分析的一个新奇方法使用它；在 morphing 控制变丑。用位置向量地，种类回答联系来源；目标形状能被获得。由插入内推，这个种类在零之间回答；我们能获得的最后的期望值为中间的形状的位置场地。这个方法保证 3D morphing 过程是光滑的。局部地，卷承受最小的失真，；没有形状 jittering 或摇摆发生：另外的方法未必确实有这些理想的性质。我们也显示出怎么控制方法以便形状的变化(特别地，缩放变化) 与时间线性地变化。

英文摘要：

In this paper, we present a new technique based on strain fields to carry out 3D shape morphing for applications in computer graphics and related areas. Strain is an important geometric quantity used in mechanics to describe the deformation of objects. We apply it in a novel way to analyze and control deformation in morphing. Using position vector fields, the strain field relating source and target shapes can be obtained. By interpolating this strain field between zero and a final desired value we can obtain the position field for intermediate shapes. This method ensures that the 3D morphing process is smooth. Locally, volumes suffer minimal distortion, and no shape jittering or wobbling happens： other methods do not necessarily have these desirable properties. We also show how to control the method so that changes of shape （in particular, size changes） vary linearly with time.

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