Pattern-Based Quadrangulation for N-Sided Patches
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Date
2014
Journal Title
Journal ISSN
Volume Title
Publisher
The Eurographics Association and John Wiley and Sons Ltd.
Abstract
We propose an algorithm to quadrangulate an N-sided patch with prescribed numbers of edge subdivisions at its boundary. Our algorithm is guaranteed to succeed for arbitrary valid input, which is proved using a canonical simplification of the input and a small set of topological patterns that are sufficient for supporting all possible cases. Our algorithm produces solutions with minimal number of irregular vertices by default, but it also allows the user to choose other feasible solutions by solving a set of small integer linear programs. We demonstrate the effectiveness of our algorithm by integrating it into a sketch-based quad remeshing system. A reference C++ implementation of our algorithm is provided as a supplementary material.
Description
@article{10.1111:cgf.12443,
journal = {Computer Graphics Forum},
title = {{Pattern-Based Quadrangulation for N-Sided Patches}},
author = {Takayama, Kenshi and Panozzo, Daniele and Sorkine-Hornung, Olga},
year = {2014},
publisher = {The Eurographics Association and John Wiley and Sons Ltd.},
ISSN = {1467-8659},
DOI = {10.1111/cgf.12443}
}