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Differential Representations for Mesh Processing
Author(s) -
Sorkine Olga
Publication year - 2006
Publication title -
computer graphics forum
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.578
H-Index - 120
eISSN - 1467-8659
pISSN - 0167-7055
DOI - 10.1111/j.1467-8659.2006.00999.x
Subject(s) - morphing , computer science , geometry processing , polygon mesh , representation (politics) , computer graphics , laplace operator , t vertices , laplacian smoothing , theoretical computer science , differential operator , computer graphics (images) , graphics , mesh generation , mathematics , mathematical analysis , finite element method , thermodynamics , physics , politics , political science , law
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.