Triangulating Point Set Surfaces with Bounded Error
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Date
2005
Journal Title
Journal ISSN
Volume Title
Publisher
The Eurographics Association
Abstract
We introduce an algorithm for constructing a high-quality triangulation directly from Point Set Surfaces. Our algorithm requires no intermediate representation and no post-processing of the output, and naturally handles noisy input data, typically in the form of a set of registered range scans. It creates a triangulation where triangle size respects the geometry of the surface rather than the sampling density of the range scans. Our technique does not require normal information, but still produces a consistent orientation of the triangles, assuming the sampled surface is an orientable two-manifold. Our work is based on using Moving Least-Squares (MLS) surfaces as the underlying representation. Our technique is a novel advancing front algorithm, that bounds the Hausdorff distance to within a user-specified limit. Specifically, we introduce a way of augmenting advancing front algorithms with global information, so that triangle size adapts gracefully even when there are large changes in surface curvature. Our results show that our technique generates high-quality triangulations where other techniques fail to reconstruct the correct surface due to irregular sampling on the point cloud, noise, registration artifacts, and underlying geometric features, such as regions with high curvature gradients.
Description
@inproceedings{10.2312:SGP/SGP05/063-072,
booktitle = {Eurographics Symposium on Geometry Processing 2005},
editor = {Mathieu Desbrun and Helmut Pottmann},
title = {{Triangulating Point Set Surfaces with Bounded Error}},
author = {Scheidegger, Carlos E. and Fleishman, Shachar and Silva, Claudio T.},
year = {2005},
publisher = {The Eurographics Association},
ISSN = {1727-8384},
ISBN = {3-905673-24-X},
DOI = {10.2312/SGP/SGP05/063-072}
}