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» A Topological Method of Surface Representation
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CGF
2008
113views more  CGF 2008»
13 years 9 months ago
Surface sampling and the intrinsic Voronoi diagram
We develop adaptive sampling criteria which guarantee a topologically faithful mesh and demonstrate an improvement and simplification over earlier results, albeit restricted to 2D...
Ramsay Dyer, Hao Zhang 0002, Torsten Möller
3DIM
2003
IEEE
14 years 2 months ago
Cramer-Rao Bounds for Nonparametric Surface Reconstruction from Range Data
The Cramer-Rao error bound provides a fundamental limit on the expected performance of a statistical estimator. The error bound depends on the general properties of the system, bu...
Tolga Tasdizen, Ross T. Whitaker
SMI
2005
IEEE
14 years 2 months ago
Maximizing Adaptivity in Hierarchical Topological Models
We present an approach to hierarchically encode the topology of functions over triangulated surfaces. We describe the topology of a function by its Morse-Smale complex, a well kno...
Peer-Timo Bremer, Valerio Pascucci, Bernd Hamann
SIGGRAPH
1997
ACM
14 years 1 months ago
Interactive multiresolution mesh editing
We describe a multiresolution representation for meshes based on subdivision, which is a natural extension of the existing patch-based surface representations. Combining subdivisi...
Denis Zorin, Peter Schröder, Wim Sweldens
HLK
2003
IEEE
14 years 2 months ago
Generic Deformable Implicit Mesh Models for Automated Reconstruction
Deformable 3–D models can be represented either as explicit or implicit surfaces. Explicit surfaces, such as triangulations or wire-frame models, are widely accepted in the Comp...
Slobodan Ilic, Pascal Fua