Computing Variation Modes for Point Set Surfaces
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Date
2005
Journal Title
Journal ISSN
Volume Title
Publisher
The Eurographics Association
Abstract
Point sets have become a popular shape representation. In this paper, we present a novel approach to computing variation modes for point set surfaces, and represent the point set surface as a linear combination of the variation modes, called a generative representation for the point set surface. Given a point set, our approach consists of two steps: The first is to produce a set of new samples with increasing smoothness and less detailed features. We use a modified smoothing method based on moving least squares (MLS) surface to produce the samples. The second is to arrange the shape vectors of the new samples together with the original point set into a matrix, and then compute the singular value decomposition of the matrix, producing a set of variation modes (the eigen vectors). Using the variation modes and the generative representation, we can easily synthesize new shapes. Typical applications are low/high/band pass filtering as well as denoising and detail enhancement in multiple scales.
Description
@inproceedings{10.2312:SPBG/SPBG05/063-069,
booktitle = {Eurographics Symposium on Point-Based Graphics (2005)},
editor = {Marc Alexa and Szymon Rusinkiewicz and Mark Pauly and Matthias Zwicker},
title = {{Computing Variation Modes for Point Set Surfaces}},
author = {Miao, Lanfang and Huang, Jin and Liu, Xinguo and Bao, Hujun and Peng, Qunsheng and Guo, Baining},
year = {2005},
publisher = {The Eurographics Association},
ISSN = {1811-7813},
ISBN = {3-905673-20-7},
DOI = {10.2312/SPBG/SPBG05/063-069}
}