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» Arrangements on Parametric Surfaces I: General Framework and...
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MICS
2010
94views more  MICS 2010»
13 years 3 months ago
Arrangements on Parametric Surfaces I: General Framework and Infrastructure
We introduce a framework for the construction, maintenance, and manipulation of arrangements of curves embedded on certain two-dimensional orientable parametric surfaces in three-d...
Eric Berberich, Efi Fogel, Dan Halperin, Kurt Mehl...
ESA
2007
Springer
113views Algorithms» more  ESA 2007»
13 years 11 months ago
Sweeping and Maintaining Two-Dimensional Arrangements on Surfaces: A First Step
We introduce a general framework for processing a set of curves defined on a continuous two-dimensional parametric surface, while sweeping the parameter space. We can handle plan...
Eric Berberich, Efi Fogel, Dan Halperin, Kurt Mehl...
MICS
2010
128views more  MICS 2010»
12 years 11 months ago
Arrangements on Parametric Surfaces II: Concretizations and Applications
We describe the algorithms and implementation details involved in the concretizations of a generic framework that enables exact construction, maintenance, and manipulation of arran...
Eric Berberich, Efi Fogel, Dan Halperin, Michael K...
SMA
2008
ACM
149views Solid Modeling» more  SMA 2008»
13 years 4 months ago
Exact arrangements on tori and Dupin cyclides
An algorithm and implementation is presented to compute the exact arrangement induced by arbitrary algebraic surfaces on a parametrized ring Dupin cyclide. The family of Dupin cyc...
Eric Berberich, Michael Kerber
GMP
2006
IEEE
137views Solid Modeling» more  GMP 2006»
13 years 11 months ago
Theoretically Based Robust Algorithms for Tracking Intersection Curves of Two Deforming Parametric Surfaces
Abstract. This paper presents the mathematical framework, and develops algorithms accordingly, to continuously and robustly track the intersection curves of two deforming parametri...
Xianming Chen, Richard F. Riesenfeld, Elaine Cohen...