Curvature Aware Fundamental Cycles
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Date
2009
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Publisher
The Eurographics Association and Blackwell Publishing Ltd
Abstract
We present a graph algorithm to find fundamental cycles aligned with the principal curvature directions of a surface. Specifically, we use the tree-cotree decomposition of graphs embedded in manifolds, guided with edge weights, in order to produce these cycles. Our algorithm is very quick compared to existing methods, with a worst case running time of O(n log n+gn) where n is the number of faces and g is the surface genus. Further, its flexibility to accommodate different weighting functions and to handle boundaries may be used to produce cycles suitable for a variety of applications and models.
Description
@article{10.1111:j.1467-8659.2009.01580.x,
journal = {Computer Graphics Forum},
title = {{Curvature Aware Fundamental Cycles}},
author = {Diaz-Gutierrez, P. and Eppstein, D. and Gopi, M.},
year = {2009},
publisher = {The Eurographics Association and Blackwell Publishing Ltd},
ISSN = {1467-8659},
DOI = {10.1111/j.1467-8659.2009.01580.x}
}