CLC number: TP391
On-line Access: 2024-08-27
Received: 2023-10-17
Revision Accepted: 2024-05-08
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LIU Yong-jin, TANG Kai, JOENJA Ajay. A new representation of orientable 2-manifold polygonal surfaces for geometric modelling[J]. Journal of Zhejiang University Science A, 2006, 7(9): 1578-1588.
@article{title="A new representation of orientable 2-manifold polygonal surfaces for geometric modelling",
author="LIU Yong-jin, TANG Kai, JOENJA Ajay",
journal="Journal of Zhejiang University Science A",
volume="7",
number="9",
pages="1578-1588",
year="2006",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.2006.A1578"
}
%0 Journal Article
%T A new representation of orientable 2-manifold polygonal surfaces for geometric modelling
%A LIU Yong-jin
%A TANG Kai
%A JOENJA Ajay
%J Journal of Zhejiang University SCIENCE A
%V 7
%N 9
%P 1578-1588
%@ 1673-565X
%D 2006
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.2006.A1578
TY - JOUR
T1 - A new representation of orientable 2-manifold polygonal surfaces for geometric modelling
A1 - LIU Yong-jin
A1 - TANG Kai
A1 - JOENJA Ajay
J0 - Journal of Zhejiang University Science A
VL - 7
IS - 9
SP - 1578
EP - 1588
%@ 1673-565X
Y1 - 2006
PB - Zhejiang University Press & Springer
ER -
DOI - 10.1631/jzus.2006.A1578
Abstract: Many graphics and computer-aided design applications require that the polygonal meshes used in geometric computing have the properties of not only 2-manifold but also are orientable. In this paper, by collecting previous work scattered in the topology and geometry literature, we rigorously present a theoretical basis for orientable polygonal surface representation from a modern point of view. Based on the presented basis, we propose a new combinatorial data structure that can guarantee the property of orientable 2-manifolds and is primal/dual efficient. Comparisons with other widely used data structures are also presented in terms of time and space efficiency.
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