结合调和场与刚性匹配的三维形变模型  

3D shape deformation using harmonic field and local rigid shape matching

作　　者：侯一凡[1] 邢帅[1] 耿迅[1] 徐凯[2] 

机构地区：[1]信息工程大学,郑州450052 [2]国防科学技术大学,长沙410073

出　　处：《测绘科学》2016年第2期140-144,共5页Science of Surveying and Mapping

基　　金：国家自然科学基金项目(41371436);973计划项目(2012CB720000)

摘　　要：针对基于表面的三维模型形变方法可描述细粒度形变但不独立于三维几何表示,而基于空间的方法则刚好相反这一问题,该文提出了一种基于三维曲面调和场构建的三维形变模型。通过计算表面调和场,将模型划分为若干个形变单元;通过在每个形变单元上运用刚性形状匹配保证局部刚性形变,实现了三维模型的细节保持形变;基于调和值将形变单元上的形变插值到整个三维模型,支持三维模型的细粒度形变;为实现几何表示不相关性,该文提出了一种三维点云调和场计算方法。实验结果表明,该形变模型利用调和场将基于表面和基于空间两种方法的优点结合了起来,具有较好的实时性和可用性。Surface-based 3Ddeformation methods can describe fine-grained deformation but limited by its dependence on geometry representation.In contrast,space-based models have the opposite properties against surface-based ones.To address these issues,a new deformation model based on surface harmonic field was proposed in this paper.The model composed a set of deformation cells,on which local rigid deformation was estimated using rigid shape matching.Deformations on cells were interpolated onto the whole surface using the harmonic field,leading to a feature-preserving and fine-grained deformation.To achieve geometry independence,a method for computing harmonic field on 3Dpoint cloud was also proposed.Experimental results showed that this method integrated the advantages of both surface-based and space-based methods with the help of harmonic field.

关 键 词：三维形变 细节保持 调和场 形状匹配 

分 类 号：TP391.4[自动化与计算机技术—计算机应用技术]