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» Voronoi diagram computations for planar NURBS curves
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GRAPHICSINTERFACE
2007
13 years 9 months ago
Constrained planar remeshing for architecture
Material limitations and fabrication costs generally run at odds with the creativity of architectural design, producing a wealth of challenging computational geometry problems. We...
Barbara Cutler, Emily Whiting
COMPGEOM
2007
ACM
13 years 11 months ago
Medial axis approximation from inner Voronoi balls: a demo of the Mesecina tool
We illustrate a simple algorithm for approximating the medial axis of a 2D shape with smooth boundary from a sample of this boundary. The algorithm is compared to a more general a...
Balint Miklos, Joachim Giesen, Mark Pauly
GMP
2006
IEEE
14 years 1 months ago
Simultaneous Precise Solutions to the Visibility Problem of Sculptured Models
Abstract. We present an efficient and robust algorithm for computing continuous visibility for two- or three-dimensional shapes whose boundaries are NURBS curves or surfaces by li...
Joon-Kyung Seong, Gershon Elber, Elaine Cohen
COMPGEOM
2001
ACM
13 years 11 months ago
PRECISE: efficient multiprecision evaluation of algebraic roots and predicates for reliable geometric computation
: Many geometric problems like generalized Voronoi diagrams, medial axis computations and boundary evaluation involve computation and manipulation of non-linear algebraic primitive...
Shankar Krishnan, Mark Foskey, Tim Culver, John Ke...
CORR
2008
Springer
111views Education» more  CORR 2008»
13 years 7 months ago
Linear-Time Algorithms for Geometric Graphs with Sublinearly Many Crossings
We provide linear-time algorithms for geometric graphs with sublinearly many crossings. That is, we provide algorithms running in O(n) time on connected geometric graphs having n ...
David Eppstein, Michael T. Goodrich, Darren Strash