A Survey of Methods for Moving Least Squares Surfaces

Cheng, Z.-Q.; Wang, Y.-Z.; Li, B.; Xu, K.; Dang, G.; Jin, S.-Y.

A Survey of Methods for Moving Least Squares Surfaces

Files

009-023.pdf (643.86 KB)

Date

2008

Authors

Cheng, Z.-Q.
Wang, Y.-Z.
Li, B.
Xu, K.
Dang, G.
Jin, S.-Y.

Publisher

The Eurographics Association

Abstract

Moving least squares (MLS) surfaces representation directly defines smooth surfaces from point cloud data, on which the differential geometric properties of point set can be conveniently estimated. Nowadays, the MLS surfaces have been widely applied in the processing and rendering of point-sampled models and increasingly adopted as the standard definition of point set surfaces. We classify the MLS surface algorithms into two types: projection MLS surfaces and implicit MLS surfaces, according to employing a stationary projection or a scalar field in their definitions. Then, the properties and constrains of the MLS surfaces are analyzed. After presenting its applications, we summarize the MLS surfaces definitions in a generic form and give the outlook of the future work at last.

        @inproceedings{10.2312:VG/VG-PBG08/009-023
,
booktitle = {IEEE/ EG Symposium on Volume and Point-Based Graphics
},
editor = {Hans-Christian Hege and David Laidlaw and Renato Pajarola and Oliver Staadt
},
title = {{A Survey of Methods for Moving Least Squares Surfaces
}},
author = {Cheng, Z.-Q. and 
Wang, Y.-Z. and 
Li, B. and 
Xu, K. and 
Dang, G. and 
Jin, S.-Y.
},
year = {2008
},
publisher = {The Eurographics Association
},
ISSN = {1727-8376
},
ISBN = {978-3-905674-12-5
},
DOI = {10.2312/VG/VG-PBG08/009-023
}
}