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» A Topological Method of Surface Representation
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CGF
2008
113views more  CGF 2008»
15 years 6 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
15 years 11 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
15 years 11 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
15 years 10 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
15 years 11 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