Scale-aware shape manipulation

被引：0
作者：
Zheng LIU [1 ]
Wei-ming WANG [2 ]
Xiu-ping LIU [2 ]
Li-gang LIU [1 ]
机构：
[1] School of Mathematical Sciences, University of Science and Technology of China
[2] School of Mathematical Sciences, Dalian University of Technology
来源：
Frontiers of Information Technology & Electronic Engineering | 2014年 / 09期
基金：
中国国家自然科学基金;
关键词：
Differential coordinates; Scale-invariant measures; Surface deformation;
D O I：
暂无
中图分类号：
TP301.6 [算法理论];
学科分类号：
081202 ;
摘要：
A novel representation of a triangular mesh surface using a set of scale-invariant measures is proposed.The measures consist of angles of the triangles(triangle angles) and dihedral angles along the edges(edge angles)which are scale and rigidity independent. The vertex coordinates for a mesh give its scale-invariant measures, unique up to scale, rotation, and translation. Based on the representation of mesh using scale-invariant measures, a two-step iterative deformation algorithm is proposed, which can arbitrarily edit the mesh through simple handles interaction.The algorithm can explicitly preserve the local geometric details as much as possible in different scales even under severe editing operations including rotation, scaling, and shearing. The efficiency and robustness of the proposed algorithm are demonstrated by examples.
引用
收藏
页码：764 / 775
页数：12
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