计算Laplace网格变形的三维模型配准  

Registration between 3D models by calculation of Laplace mesh deformation

作　　者：杨军[1] 张瑶 YANG Jun;ZHANG Yao(School of Electronic and Information Engineering,Lanzhou Jiaotong University,Lanzhou 730070,China)

机构地区：[1]兰州交通大学电子与信息工程学院,甘肃兰州730070

出　　处：《哈尔滨工程大学学报》2018年第10期1702-1708,共7页Journal of Harbin Engineering University

基　　金：国家自然科学基金项目(61462059);人社部留学人员科技活动项目择优资助项目(重点类)(2013277);甘肃省高等学校基本科研业务费项目(214142)

摘　　要：针对非刚性变形的模型间的配准问题,提出了一种结合骨架子空间变形技术和Laplace网格变形的配准方法。对源模型和目标模型执行迭代最近点算法使两模型姿态相同的部分对齐;采用骨架子空间变形技术计算Laplace网格变形所需要的控制点;通过执行Laplace网格变形对源模型进行非刚性变形并使其与目标模型完全对齐,实现配准。实验结果表明:本文算法可以实现较大尺度变形的模型间的配准,不仅适用于两个姿态不同的完整模型,也适用于姿态不同的整体与部分模型间的配准。A new non-rigid registration algorithm is proposed to align two models with different postures,based on skeleton subspace and Laplace mesh deformation.The algorithm first aligns the parts of the source and target models having the same postures using iterative closest point,then applies the skeleton subspace deformation to calculate the control points required by the Laplace mesh deformation.Finally,non-rigid deformation is applied to the source model using the Laplace mesh deformation to fully align with target models.The results showed that the proposed algorithm can be applied to the registration of large scale deformable models,not only to aligning two complete models with different postures,but also to aligning partial and complete models.

关 键 词：模型配准 ICP算法 Laplace-Beltrami算子 骨架子空间变形 Laplace网格变形 非刚性 完整模型 部分模型 

分 类 号：TP391.4[自动化与计算机技术—计算机应用技术]