Computing Variation Modes for Point Set Surfaces

Miao, Lanfang; Huang, Jin; Liu, Xinguo; Bao, Hujun; Peng, Qunsheng; Guo, Baining

Computing Variation Modes for Point Set Surfaces

Files

063-069.pdf (1.51 MB)

Date

2005

Authors

Miao, Lanfang
Huang, Jin
Liu, Xinguo
Bao, Hujun
Peng, Qunsheng
Guo, Baining

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.

        @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
}
}