DMCA
General planar quadrilateral mesh design using conjugate direction field
| Venue: | C○ 2013 THE AUTHOR(S) C○ 2013 THE EUROGRAPHICS ASSOCIATION AND BLACKWELL PUBLISHING LTD. ID: PAPER1067 |
| Citations: | 14 - 2 self |
BibTeX
@INPROCEEDINGS{Liu_generalplanar,
author = {Yang Liu and Weiwei Xu and Jun Wang and Lifeng Zhu and Baining Guo and Falai Chen and Guoping Wang},
title = { General planar quadrilateral mesh design using conjugate direction field},
booktitle = {C○ 2013 THE AUTHOR(S) C○ 2013 THE EUROGRAPHICS ASSOCIATION AND BLACKWELL PUBLISHING LTD. ID: PAPER1067},
year = {},
publisher = {}
}
Share
 |
 |
 |
 |
||
OpenURL
Abstract
We present a novel method to approximate a freeform shape with a planar quadrilateral (PQ) mesh for modeling architectural glass structures. Our method is based on the study of conjugate direction fields (CDF) which allow the presence of ±k/4(k ∈ Z) singularities. Starting with a triangle discretization of a freeform shape, we first compute an as smooth as possible conjugate direction field satisfying the user’s directional and angular constraints, then apply mixed-integer quadrangulation and planarization techniques to generate a PQ mesh which approximates the input shape faithfully. We demonstrate that our method is effective and robust on various 3D models.
Keyphrases
conjugate direction field general planar quadrilateral mesh design freeform shape planar quad mesh planar quadrilateral pq mesh angular difference planarization technique ap-ply mixed-integer quadrangulation angular constraint planar quad conjugate direction field method triangle discretization planarity measure architectural glass structure airport terminal model input shape internal angle non-four-valence vertex principal curvature network maximum value possible conjugate direction field quad face novel method
