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IMAMS
2007
245views Mathematics» more  IMAMS 2007»
13 years 9 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
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
SMA
2003
ACM
154views Solid Modeling» more  SMA 2003»
14 years 23 days ago
Discretization of functionally based heterogeneous objects
The presented approach to discretization of functionally defined heterogeneous objects is oriented towards applications associated with numerical simulation procedures, for exampl...
Elena Kartasheva, Valery Adzhiev, Alexander A. Pas...
SGP
2007
13 years 10 months ago
Robust statistical estimation of curvature on discretized surfaces
A robust statistics approach to curvature estimation on discretely sampled surfaces, namely polygon meshes and point clouds, is presented. The method exhibits accuracy, stability ...
Evangelos Kalogerakis, Patricio D. Simari, Derek N...
JCDCG
2004
Springer
14 years 27 days ago
Grid Vertex-Unfolding Orthostacks
An algorithm was presented in [1] for unfolding orthostacks into one piece without overlap by using arbitrary cuts along the surface. It was conjectured that orthostacks could be ...
Erik D. Demaine, John Iacono, Stefan Langerman