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SIAMDM
2010
101views more  SIAMDM 2010»
13 years 9 months ago
Combinatorics and Genus of Tropical Intersections and Ehrhart Theory
Let g1, . . . , gk be tropical polynomials in n variables with Newton polytopes P1, . . . , Pk. We study combinatorial questions on the intersection of the tropical hypersurfaces d...
Reinhard Steffens, Thorsten Theobald
CAD
1999
Springer
13 years 11 months ago
The intersection of two ruled surfaces
This article presents an efficient and robust algorithm that computes the intersection curve of two ruled surfaces. The surface intersection problem is reformulated as a zero-set ...
Hee-Seok Heo, Myung-Soo Kim, Gershon Elber
CVGIP
2002
174views more  CVGIP 2002»
13 years 11 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
CAGD
2004
76views more  CAGD 2004»
13 years 11 months ago
Topologically consistent trimmed surface approximations based on triangular patches
Topologically consistent algorithms for the intersection and trimming of free-form parametric surfaces are of fundamental importance in computer-aided design, analysis, and manufa...
Rida T. Farouki, Chang Yong Han, Joel Hass, Thomas...
AAECC
2007
Springer
117views Algorithms» more  AAECC 2007»
13 years 11 months ago
A predictor-corrector-type technique for the approximate parameterization of intersection curves
Abstract We describe a method to approximate a segment of the intersection curve of two implicitly defined surfaces by a rational parametric curve. Starting from an initial soluti...
Bert Jüttler, Pavel Chalmovianský