Interpolatory ?3-Subdivision
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Date
2000
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Journal ISSN
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Publisher
Blackwell Publishers Ltd and the Eurographics Association
Abstract
We present a new interpolatory subdivision scheme for triangle meshes. Instead of splitting each edge and performing a 1-to-4 split for every triangle we compute a new vertex for every triangle and retriangulate the old and the new vertices. Using this refinement operator the number of triangles only triples in each step. New vertices are computed with a Butterfly like scheme. In order to obtain overall smooth surfaces special rules are necessary in the neighborhood of extraordinary vertices. The scheme is suitable for adaptive refinement by using an easy forward strategy. No temporary triangles are produced here which allows simpler data structures and makes the scheme easy to implement.
Description
@article{10.1111:1467-8659.00405,
journal = {Computer Graphics Forum},
title = {{Interpolatory ?3-Subdivision}},
author = {Labsik, U. and Greiner, G.},
year = {2000},
publisher = {Blackwell Publishers Ltd and the Eurographics Association},
ISSN = {1467-8659},
DOI = {10.1111/1467-8659.00405}
}