Surface sampling and the intrinsic Voronoi diagram
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Date
2008
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
The Eurographics Association and Blackwell Publishing Ltd
Abstract
We develop adaptive sampling criteria which guarantee a topologically faithful mesh and demonstrate an improvement and simplification over earlier results, albeit restricted to 2D surfaces. These sampling criteria are based on functions defined by intrinsic properties of the surface: the strong convexity radius and the injectivity radius. We establish inequalities that relate these functions to the local feature size, thus enabling a comparison between the demands of the intrinsic sampling criteria and those based on Euclidean distances and the medial axis.
Description
@article{10.1111:j.1467-8659.2008.01279.x,
journal = {Computer Graphics Forum},
title = {{Surface sampling and the intrinsic Voronoi diagram}},
author = {Dyer, Ramsay and Zhang, Hao and Moeller, Torsten},
year = {2008},
publisher = {The Eurographics Association and Blackwell Publishing Ltd},
ISSN = {1467-8659},
DOI = {10.1111/j.1467-8659.2008.01279.x}
}