| 摘要: |
| 给出了一个新的有相同亏格多面体之间的三维形状过渡算法.算法首先交互地将两个给定的多面体剖分为相同数目的多边形网格区域，同时建立起网格区域的匹配.然后，利用调和映射将每对对应区域进行参数化和重新采样，最终建立起每个给定多面体的特征多面体.利用特征多面体作为桥梁，通过复合3个连续的变换来实现两个给定多面体之间的形状过渡.实验结果表明，本算法稳定可靠，且能处理一般的情形. |
| 关键词: 计算机动画，形状过渡技术，调和映射，同构映射，亏格. |
| DOI： |
| 分类号: |
| 基金项目:本文研究得到浙江省自然科学基金和霍英东青年教育研究基金资助. |
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| Interactive 3D Metamorphosis |
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WANG Zhang-ye,BAO Hu-jun,PENG Qun-sheng
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| Abstract: |
| A new 3D morphing algorithm for polyhedral objects with the same genus is presented in this paper. The proposed algorithm first interactively partitions the two original polyhedra into the same number of polygonal patches, the patch correspondence is also established during partitioning. Then each pair of corresponding patches is parametrized and resampled by using the harmonic maps. A feature polyhedron is finally constructed for each original polyhedron. The shape transition between the original polyhedral models is accomplished by composing three successive transformations using their feature polyhedra as the bridges. Experimental results demonstrate that the algorithm is robust, and can deal with the general cases. |
| Key words: Computer animation, metamorphosis, harmonic map, homeomorphic map, genus. |
