Finite Elements on Point Based Surfaces
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Date
2004
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
The Eurographics Association
Abstract
framework efficiently and effectively brings well-known PDE-based processing techniques to the field of point-based surfaces. Our method is based on the construction of local tangent planes and a local Delaunay triangulation of adjacent points projected onto this plane. The definition of tangent spaces relies on moment-based computation with proven scaling and stability properties. Once local couplings are obtained, we are able to easily assemble PDE-specific mass and stiffness matrices and solve corresponding linear systems by standard iterative solvers. We demonstrate our framework by different classes of PDE-based surface processing applications, such as texture synthesis and processing, geometric fairing, and segmentation.
Description
@inproceedings{:10.2312/SPBG/SPBG04/201-211,
booktitle = {SPBG'04 Symposium on Point - Based Graphics 2004},
editor = {Markus Gross and Hanspeter Pfister and Marc Alexa and Szymon Rusinkiewicz},
title = {{Finite Elements on Point Based Surfaces}},
author = {Clarenz, U. and Rumpf, M. and Telea, A.},
year = {2004},
publisher = {The Eurographics Association},
ISSN = {1811-7813},
ISBN = {3-905673-09-6},
DOI = {/10.2312/SPBG/SPBG04/201-211}
}