Scale Space Meshing of Raw Data Point Sets

This paper develops a scale space strategy for orienting and meshing exactly and completely a raw point set. The scale space is based on the intrinsic heat equation, also called mean curvature motion (MCM). A simple iterative scheme implementing MCM directly on the raw point set is described, and a...

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Bibliographic Details
Published in:Computer graphics forum Vol. 30; no. 6; pp. 1630 - 1642
Main Authors: Digne, Julie, Morel, Jean-Michel, Souzani, Charyar-Mehdi, Lartigue, Claire
Format: Journal Article
Language:English
Published: Oxford, UK Blackwell Publishing Ltd 01.09.2011
Subjects:
Analysis
and object representations
Computer graphics
Computer Graphics [I.3.5]: Computational Geometry and Object Modeling-Curve
Computer Graphics [I.3.5]: Computational Geometry and Object Modeling—Curve, surface, solid, and object representations
Computer science
Consistency
Curvature
Data points
Iterative methods
Mathematical analysis
Mathematical models
mean curvature motion
mesh reconstruction
Meshing
Raw
scale space
solid
Strategy
Studies
surface
ISSN:0167-7055, 1467-8659
Online Access:Get full text
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Summary:This paper develops a scale space strategy for orienting and meshing exactly and completely a raw point set. The scale space is based on the intrinsic heat equation, also called mean curvature motion (MCM). A simple iterative scheme implementing MCM directly on the raw point set is described, and a mathematical proof of its consistency with MCM is given. Points evolved by this MCM implementation can be trivially backtracked to their initial raw position. Therefore, both the orientation and mesh of the data point set obtained at a smooth scale can be transported back on the original. The gain in visual accuracy is demonstrated on archaeological objects by comparison with several state of the art meshing methods.
Bibliography:ark:/67375/WNG-511CQWXX-6
istex:823C34BEECB6D3730A490230E2E734EF1F508ACB
ArticleID:CGF1848
SourceType-Scholarly Journals-1
ObjectType-Feature-1
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ISSN:0167-7055
1467-8659
DOI:10.1111/j.1467-8659.2011.01848.x