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Journal of Zhejiang University SCIENCE C
ISSN 1869-1951(Print), 1869-196x(Online), Monthly
2014 Vol.15 No.9 P.754-763
Quasi-angle-preserving mesh deformation using the least-squares approach
Abstract: We propose an angle-based mesh representation, which is invariant under translation, rotation, and uniform scaling, to encode the geometric details of a triangular mesh. Angle-based mesh representation consists of angle quantities defined on the mesh, from which the mesh can be reconstructed uniquely up to translation, rotation, and uniform scaling. The reconstruction process requires solving three sparse linear systems: the first system encodes the length of edges between vertices on the mesh, the second system encodes the relationship of local frames between two adjacent vertices on the mesh, and the third system defines the position of the vertices via the edge length and the local frames. From this angle-based mesh representation, we propose a quasi-angle-preserving mesh deformation system with the least-squares approach via handle translation, rotation, and uniform scaling. Several detail-preserving mesh editing examples are presented to demonstrate the effectiveness of the proposed method.
Key words: Mesh deformation, Angle-based representation, Detail-preserving, Least-squares approach
创新要点:提出一种基于内在角度信息的离散网格表示方法,具有旋转、平移和均匀缩放不变性,是三角离散网格模型的新型表示方法。基于该网格表示形式和最小二乘方法,建立了拟保持网格角度度量的网格变形框架。与基于拉普拉斯微分坐标方法相比,可有效保持网格模型的几何细节特征。
重要结论:若干三角网格模型变形与编辑实例显示,在数字娱乐领域本文算法有效。
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DOI:
10.1631/jzus.C1400103
CLC number:
TP391
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On-line Access:
2014-09-06
Received:
2014-03-21
Revision Accepted:
2014-08-05
Crosschecked:
2014-08-19