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» On the Representation of Timed Polyhedra
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SIAMJO
2010
108views more  SIAMJO 2010»
13 years 6 months ago
Exposed Faces of Semidefinitely Representable Sets
A linear matrix inequality (LMI) is a condition stating that a symmetric matrix whose entries are affine linear combinations of variables is positive semidefinite. Motivated by th...
Tim Netzer, Daniel Plaumann, Markus Schweighofer
CORR
2007
Springer
75views Education» more  CORR 2007»
13 years 7 months ago
Polyhedral representation conversion up to symmetries
We give a short survey on computational techniques which can be used to solve the representation conversion problem for polyhedra up to symmetries. In particular we discuss decompo...
David Bremner, Mathieu Dutour Sikiric, Achill Sch&...
STOC
2003
ACM
153views Algorithms» more  STOC 2003»
14 years 8 months ago
Sublinear geometric algorithms
We initiate an investigation of sublinear algorithms for geometric problems in two and three dimensions. We give optimal algorithms for intersection detection of convex polygons a...
Bernard Chazelle, Ding Liu, Avner Magen
CCCG
2003
13 years 9 months ago
Equiprojective Polyhedra
A convex polyhedron P is equiprojective if, for some k, the orthogonal projection (or “shadow”) of P in every direction, except those directions parallel to faces of P, is a k...
Masud Hasan, Anna Lubiw
JCDCG
2000
Springer
13 years 11 months ago
Volume Queries in Polyhedra
We present a simple and practical data structure for storing a (not necessarily convex) polyhedron P which can, given a query surface S cutting the polyhedron, determine the volume...
John Iacono, Stefan Langerman