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» Topological Persistence and Simplification
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CORR
2010
Springer
115views Education» more  CORR 2010»
13 years 5 months ago
Optimal topological simplification of discrete functions on surfaces
We solve the problem of minimizing the number of critical points among all functions on a surface within a prescribed distance from a given input function. The result is achieved...
Ulrich Bauer, Carsten Lange, Max Wardetzky
FOCS
2000
IEEE
13 years 8 months ago
Topological Persistence and Simplification
We formalize a notion of topological simplification within the framework of a filtration, which is the history of a growing complex. We classify a topological change that happens ...
Herbert Edelsbrunner, David Letscher, Afra Zomorod...
TOG
2008
134views more  TOG 2008»
13 years 4 months ago
Computing geometry-aware handle and tunnel loops in 3D models
Many applications such as topology repair, model editing, surface parameterization, and feature recognition benefit from computing loops on surfaces that wrap around their `handle...
Tamal K. Dey, Kuiyu Li, Jian Sun, David Cohen-Stei...
CGF
1999
86views more  CGF 1999»
13 years 4 months ago
Generalized View-Dependent Simplification
We propose a technique for performing view-dependent geometry and topology simplifications for level-of-detailbased renderings of large models. The algorithm proceeds by preproces...
Jihad El-Sana, Amitabh Varshney
DCG
2007
77views more  DCG 2007»
13 years 4 months ago
Stability of Critical Points with Interval Persistence
Scalar functions defined on a topological space Ω are at the core of many applications such as shape matching, visualization and physical simulations. Topological persistence i...
Tamal K. Dey, Rephael Wenger