基于顶点变形梯度的点云曲面变形传输  

Deformation Transfer for Point Set Surface Based on Vertex Deformation Gradient

作　　者：谭光华[1,2] 陈志杨[3] 张三元[1,2] 张引[1,2] 

机构地区：[1]浙江大学计算机科学与技术学院,杭州310027 [2]浙江大学CAD8LCG国家重点实验室,杭州310058 [3]浙江工业大学软件学院,杭州310014

出　　处：《计算机辅助设计与图形学学报》2009年第3期282-288,共7页Journal of Computer-Aided Design & Computer Graphics

基　　金：国家“八六三”高技术研究发展计划(2007AA01Z311,2007AA04Z1A5);教育部博士点基金(20060335114)

摘　　要：为了重用现有模型的变形结果,给出一种点云曲面的变形传输方法.利用顶点变形梯度来编码源点云的变形信息,通过一个全局的二次能量优化,实现了点云曲面的变形传输.顶点的变形梯度由顶点的k邻近点决定,并从能量优化的角度得出了顶点变形梯度的一个闭合解.该方法可直接在点云上进行,无需类似网格的拓扑结构,也不要求源点云与目标点云具有相同的采样点数和一致的对应关系.实验结果表明,该方法能有效地实现源点云与目标点云之间的变形传输.In order to reuse the existing deformation of given model, a novel approach is proposed to transfer the deformation of the source point set to the target one. By the approach, we represent the deformation of the source point set with the vertex deformation gradients. Deformation transfer is implemented via a global quadrie energy optimization, which minimizes the difference between the actual vertex deformation gradient and the computed one. The vertex deformation gradient is defined by its k-nearest points, and a closed-form solution is obtained through energy optimization. This approach is applied on point set surface directly. Neither the topology-like mesh nor the consistency of sampling points and correspondence is needed. Experiments show that this approach can efficiently transfer the deformation from the source point set to the target point set.

关 键 词：变形梯度 变形传输 点云曲面 k邻近点 

分 类 号：TP391.41[自动化与计算机技术—计算机应用技术]