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GMP
2002
IEEE
172views Solid Modeling» more  GMP 2002»
13 years 9 months ago
Classifying the Nonsingular Intersection Curve of Two Quadric Surfaces
We present new results on classifying the morphology of the nonsingular intersection curve of two quadrics by studying the roots of the characteristic equation, or the discriminan...
Changhe Tu, Wenping Wang, Jiaye Wang
CVGIP
2002
174views more  CVGIP 2002»
13 years 4 months ago
Computing quadric surface intersections based on an analysis of plane cubic curves
Computing the intersection curve of two quadrics is a fundamental problem in computer graphics and solid modeling. We present an algebraic method for classifying and parameterizin...
Wenping Wang, Barry Joe, Ronald N. Goldman
COMGEO
2006
ACM
13 years 4 months ago
An exact and efficient approach for computing a cell in an arrangement of quadrics
We present an approach for the exact and efficient computation of a cell in an arrangement of quadric surfaces. All calculations are based on exact rational algebraic methods and ...
Elmar Schömer, Nicola Wolpert
ESA
2007
Springer
113views Algorithms» more  ESA 2007»
13 years 10 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...
ESA
2007
Springer
155views Algorithms» more  ESA 2007»
13 years 8 months ago
Complete, Exact and Efficient Implementation for Computing the Adjacency Graph of an Arrangement of Quadrics
We present a complete, exact and efficient implementation to compute the adjacency graph of an arrangement of quadrics, i.e. surfaces of algebraic degree 2. This is a major step t...
Laurent Dupont, Michael Hemmer, Sylvain Petitjean,...