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COMPGEOM
2008
ACM
13 years 9 months ago
Discrete laplace operator on meshed surfaces
In recent years a considerable amount of work in graphics and geometric optimization used tools based on the Laplace-Beltrami operator on a surface. The applications of the Laplac...
Mikhail Belkin, Jian Sun, Yusu Wang
SGP
2007
13 years 10 months ago
Developable surfaces from arbitrary sketched boundaries
Developable surfaces are surfaces that can be unfolded into the plane with no distortion. Although ubiquitous in our everyday surroundings, modeling them using existing tools requ...
Kenneth Rose, Alla Sheffer, Jamie Wither, Marie-Pa...
CAGD
2004
122views more  CAGD 2004»
13 years 7 months ago
Axioms and variational problems in surface parameterization
For a surface patch on a smooth, two-dimensional surface in IR3 , low-distortion parameterizations are described in terms of minimizers of suitable energy functionals. Appropriate...
Ulrich Clarenz, Nathan Litke, Martin Rumpf
CAGD
2007
59views more  CAGD 2007»
13 years 7 months ago
Discrete quadratic curvature energies
We present a family of discrete isometric bending models (IBMs) for triangulated surfaces in 3-space. These models are derived from an axiomatic treatment of discrete Laplace oper...
Max Wardetzky, Miklós Bergou, David Harmon,...
COMPGEOM
2003
ACM
14 years 27 days ago
Estimating surface normals in noisy point cloud data
In this paper we describe and analyze a method based on local least square fitting for estimating the normals at all sample points of a point cloud data (PCD) set, in the presenc...
Niloy J. Mitra, An Nguyen