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ADG
2004
Springer
189views Mathematics» more  ADG 2004»
15 years 7 months ago
nD Polyhedral Scene Reconstruction from Single 2D Line Drawing by Local Propagation
In this paper, we study the problem of reconstructing the polyhedral structures and geometric positions of a general nD polyhedral scene from a single 2D line drawing. With the ide...
Hongbo Li
COMPGEOM
2001
ACM
15 years 6 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...
GIS
2008
ACM
15 years 3 months ago
Towards a geometric interpretation of double-cross matrix-based similarity of polylines
One of the formalisms to qualitatively describe polylines in the plane are double-cross matrices. In a double-cross matrix the relative position of any two line segments in a poly...
Bart Kuijpers, Bart Moelans
STOC
2001
ACM
132views Algorithms» more  STOC 2001»
16 years 2 months ago
Edge isoperimetry and rapid mixing on matroids and geometric Markov chains
We show how to bound the mixing time and log-Sobolev constants of Markov chains by bounding the edge-isoperimetry of their underlying graphs. To do this we use two recent techniqu...
Ravi Montenegro, Jung-Bae Son
WAW
2007
Springer
122views Algorithms» more  WAW 2007»
15 years 8 months ago
A Geometric Preferential Attachment Model of Networks II
We study a random graph Gn that combines certain aspects of geometric random graphs and preferential attachment graphs. This model yields a graph with power-law degree distributio...
Abraham D. Flaxman, Alan M. Frieze, Juan Vera