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COMPGEOM
2001
ACM
13 years 11 months ago
The convex hull of ellipsoids
The treatment of curved algebraic surfaces becomes more and more the focus of attention in Computational Geometry. We present a video that illustrates the computation of the conve...
Nicola Geismann, Michael Hemmer, Elmar Schöme...
COMGEO
2007
ACM
13 years 7 months ago
Advanced programming techniques applied to Cgal's arrangement package
Arrangements of planar curves are fundamental structures in computational geometry. Recently, the arrangement package of Cgal, the Computational Geometry Algorithms Library, has b...
Ron Wein, Efi Fogel, Baruch Zukerman, Dan Halperin
SMA
2008
ACM
182views Solid Modeling» more  SMA 2008»
13 years 7 months ago
Voronoi diagram computations for planar NURBS curves
We present robust and efficient algorithms for computing Voronoi diagrams of planar freeform curves. Boundaries of the Voronoi diagram consist of portions of the bisector curves b...
Joon-Kyung Seong, Elaine Cohen, Gershon Elber
CAD
2008
Springer
13 years 7 months ago
Dual evolution of planar parametric spline curves and T-spline level sets
By simultaneously considering evolution processes for parametric spline curves and implicitly defined curves, we formulate the framework of dual evolution. This allows us to combin...
Robert Feichtinger, Matthias Fuchs, Bert Jütt...
SODA
2008
ACM
106views Algorithms» more  SODA 2008»
13 years 9 months ago
Exact and efficient 2D-arrangements of arbitrary algebraic curves
We show how to compute the planar arrangement induced by segments of arbitrary algebraic curves with the Bentley-Ottmann sweep-line algorithm. The necessary geometric primitives r...
Arno Eigenwillig, Michael Kerber