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CLC number: TP391.41

On-line Access: 2014-09-06

Received: 2014-04-01

Revision Accepted: 2014-07-24

Crosschecked: 2014-08-19

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Citations:  Bibtex RefMan EndNote GB/T7714

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Journal of Zhejiang University SCIENCE C 2014 Vol.15 No.9 P.764-775


Scale-aware shape manipulation

Author(s):  Zheng Liu, Wei-ming Wang, Xiu-ping Liu, Li-gang Liu

Affiliation(s):  School of Mathematical Sciences, University of Science and Technology of China, Hefei 230026, China; more

Corresponding email(s):   Liu.Zheng.jojo@gmail.com

Key Words:  Differential coordinates, Scale-invariant measures, Surface deformation

Zheng Liu, Wei-ming Wang, Xiu-ping Liu, Li-gang Liu. Scale-aware shape manipulation[J]. Journal of Zhejiang University Science C, 2014, 15(9): 764-775.

@article{title="Scale-aware shape manipulation",
author="Zheng Liu, Wei-ming Wang, Xiu-ping Liu, Li-gang Liu",
journal="Journal of Zhejiang University Science C",
publisher="Zhejiang University Press & Springer",

%0 Journal Article
%T Scale-aware shape manipulation
%A Zheng Liu
%A Wei-ming Wang
%A Xiu-ping Liu
%A Li-gang Liu
%J Journal of Zhejiang University SCIENCE C
%V 15
%N 9
%P 764-775
%@ 1869-1951
%D 2014
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.C1400122

T1 - Scale-aware shape manipulation
A1 - Zheng Liu
A1 - Wei-ming Wang
A1 - Xiu-ping Liu
A1 - Li-gang Liu
J0 - Journal of Zhejiang University Science C
VL - 15
IS - 9
SP - 764
EP - 775
%@ 1869-1951
Y1 - 2014
PB - Zhejiang University Press & Springer
ER -
DOI - 10.1631/jzus.C1400122

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.



Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article


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