Differential Representations for Mesh Processing

Surface representation and processing is one of the key topics in computer graphics and geometric modeling, since it greatly affects the range of possible applications. In this paper we will present recent advances in geometry processing that are related to the Laplacian processing framework and dif...

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Veröffentlicht in:Computer graphics forum Jg. 25; H. 4; S. 789 - 807
1. Verfasser: Sorkine, Olga
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Oxford, UK Blackwell Publishing Ltd 01.12.2006
Schlagworte:
Computer graphics
Computer programming
detail preservation
discrete Laplacian
geometry compression
I.3.5 Computer Graphics: Computational Geometry and Object Modeling - Boundary representations
Laplace transforms
Linear equations
mesh editing
surface representation
ISSN:0167-7055, 1467-8659
Online-Zugang:Volltext
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Zusammenfassung:Surface representation and processing is one of the key topics in computer graphics and geometric modeling, since it greatly affects the range of possible applications. In this paper we will present recent advances in geometry processing that are related to the Laplacian processing framework and differential representations. This framework is based on linear operators defined on polygonal meshes, and furnishes a variety of processing applications, such as shape approximation and compact representation, mesh editing, watermarking and morphing. The core of the framework is the definition of differential coordinates and new bases for efficient mesh geometry representation, based on the mesh Laplacian operator.
Bibliographie:ark:/67375/WNG-DD8HVTBF-X
istex:871A10A8F60816F759612AE952CC16F6347FC860
ArticleID:CGF999
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ObjectType-Feature-1
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ISSN:0167-7055
1467-8659
DOI:10.1111/j.1467-8659.2006.00999.x