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» Linear Approximation of Trimmed Surfaces
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CGF
2005
159views more  CGF 2005»
13 years 7 months ago
Real-Time Shape Editing using Radial Basis Functions
Current surface-based methods for interactive freeform editing of high resolution 3D models are very powerful, but at the same time require a certain minimum tessellation or sampl...
Mario Botsch, Leif Kobbelt
CGF
2006
120views more  CGF 2006»
13 years 8 months ago
Enhancing the Interactive Visualization of Procedurally Encoded Multifield Data with Ellipsoidal Basis Functions
Functional approximation of scattered data is a popular technique for compactly representing various types of datasets in computer graphics, including surface, volume, and vector ...
Yun Jang, Ralf P. Botchen, Andreas Lauser, David S...
COMPGEOM
2010
ACM
14 years 20 days ago
Computing similarity between piecewise-linear functions
We study the problem of computing the similarity between two piecewise-linear bivariate functions defined over a common domain, where the surfaces they define in 3D—polyhedral...
Pankaj K. Agarwal, Boris Aronov, Marc J. van Kreve...
COMPGEOM
2006
ACM
14 years 1 months ago
Algorithms for two-box covering
We study the problem of covering a set of points or polyhedra in 3 with two axis-aligned boxes in order to minimize a function of the measures of the two boxes, such as the sum or...
Esther M. Arkin, Gill Barequet, Joseph S. B. Mitch...
JAT
2010
109views more  JAT 2010»
13 years 6 months ago
Networks of polynomial pieces with application to the analysis of point clouds and images
We consider H¨older smoothness classes of surfaces for which we construct piecewise polynomial approximation networks, which are graphs with polynomial pieces as nodes and edges ...
Ery Arias-Castro, Boris Efros, Ofer Levi