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» On the Topology of Real Algebraic Plane Curves
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GC
2011
Springer
12 years 8 months ago
A Note on the Complexity of Real Algebraic Hypersurfaces
Given an algebraic hypersurface O in Êd, how many simplices are necessary for a simplicial complex isotopic to O? We address this problem and the variant where all vertices of the...
Michael Kerber, Michael Sagraloff
CVGIP
2002
174views more  CVGIP 2002»
13 years 5 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
JSYML
2000
69views more  JSYML 2000»
13 years 5 months ago
Topological Elementary Equivalence of Closed Semi-Algebraic Sets in The Real Plane
We investigate topological properties of subsets S of the real plane, expressed by first-order logic sentences in the language of the reals augmented with a binary relation symbol...
Bart Kuijpers, Jan Paredaens, Jan Van den Bussche
DIMACS
2001
13 years 6 months ago
Enumerative Real Algebraic Geometry
Let C be a smooth real plane curve. Let c be its degree and g its genus. We assume that C has at least g real branches. Let d be a nonzero natural integer strictly less than c. Let...
Frank Sottile
SMA
2008
ACM
149views Solid Modeling» more  SMA 2008»
13 years 5 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