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» Surface simplification using a discrete curvature norm
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DCG
2010
77views more  DCG 2010»
13 years 5 months ago
Oriented Mixed Area and Discrete Minimal Surfaces
Abstract. Recently a curvature theory for polyhedral surfaces has been established which associates with each face a mean curvature value computed from areas and mixed areas of tha...
Christian Müller, Johannes Wallner
CAGD
2007
59views more  CAGD 2007»
13 years 5 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,...
IMAMS
2007
245views Mathematics» more  IMAMS 2007»
13 years 7 months ago
Discrete Surface Ricci Flow: Theory and Applications
Conformal geometry is in the core of pure mathematics. Conformal structure is more flexible than Riemaniann metric but more rigid than topology. Conformal geometric methods have p...
Miao Jin, Junho Kim, Xianfeng David Gu
CVPR
2012
IEEE
11 years 8 months ago
Curvature-based regularization for surface approximation
We propose an energy-based framework for approximating surfaces from a cloud of point measurements corrupted by noise and outliers. Our energy assigns a tangent plane to each (noi...
Carl Olsson, Yuri Boykov
PG
2007
IEEE
13 years 12 months ago
Image-Space Caustics and Curvatures
Caustics are important visual phenomena, as well as challenging global illumination effects in computer graphics. Physically caustics can be interpreted from one of two perspectiv...
Xuan Yu, Feng Li, Jingyi Yu