Surface reconstruction based on a dynamical system?
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Date
2002
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Publisher
Blackwell Publishers, Inc and the Eurographics Association
Abstract
We present an efficient algorithm that computes a manifold triangular mesh from a set of unorganized sample points in. The algorithm builds on the observation made by several researchers that the Gabriel graph of the sample points provides a good surface description. However, this surface description is only one-dimensional. We associate the edges of the Gabriel graph with index 1 critical points of a dynamical system induced by the sample points. Exploiting also the information contained in the critical points of index 2 provides a two-dimensional surface description which can be easily turned into a manifold.
Description
@article{10.1111:1467-8659.00596,
journal = {Computer Graphics Forum},
title = {{Surface reconstruction based on a dynamical system?}},
author = {Giesen, Joachim and John, Matthias},
year = {2002},
publisher = {Blackwell Publishers, Inc and the Eurographics Association},
ISSN = {1467-8659},
DOI = {10.1111/1467-8659.00596}
}