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A New Voronoi-Based Surface Reconstruction Algorithm (2002)
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BibTeX
@MISC{Amenta02anew,
author = {Nina Amenta and Marshall Bern and Manolis Kamvysselis},
title = {A New Voronoi-Based Surface Reconstruction Algorithm },
year = {2002}
}
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Abstract
We describe our experience with a new algorithm for the reconstruction of surfaces from unorganized sample points in R³. The algorithm is the first for this problem with provable guarantees. Given a “good sample” from a smooth surface, the output is guaranteed to be topologically correct and convergent to the original surface as the sampling density increases. The definition of a good sample is itself interesting: the required sampling density varies locally, rigorously capturing the intuitive notion that featureless areas can be reconstructed from fewer samples. The output mesh interpolates, rather than approximates, the input points. Our algorithm is based on the three-dimensional Voronoi diagram. Given a good program for this fundamental subroutine, the algorithm is quite easy to implement.
Keyphrases
new voronoi-based surface reconstruction algorithm good sample new algorithm provable guarantee output mesh interpolates good program density increase original surface intuitive notion fundamental subroutine smooth surface three-dimensional voronoi diagram required sampling density varies unorganized sample point featureless area input point
