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COMPGEOM
2011
ACM
14 years 7 months ago
Zigzag persistent homology in matrix multiplication time
We present a new algorithm for computing zigzag persistent homology, an algebraic structure which encodes changes to homology groups of a simplicial complex over a sequence of sim...
Nikola Milosavljevic, Dmitriy Morozov, Primoz Skra...
136
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COMPGEOM
2008
ACM
15 years 5 months ago
Routing a maximum number of disks through a scene of moving obstacles
This video illustrates an algorithm for computing a maximum number of disjoint paths for unit disks moving among a set of dynamic obstacles in the plane. The problem is motivated ...
Joondong Kim, Joseph S. B. Mitchell, Valentin Poli...
COSIT
2003
Springer
133views GIS» more  COSIT 2003»
15 years 9 months ago
Convexity in Discrete Space
This paper looks at axioms for convexity, and shows how they can be applied to discrete spaces. Two structures for a discrete geometry are considered: oriented matroids, and cell c...
Anthony J. Roy, John G. Stell
GRAPHICSINTERFACE
2008
15 years 5 months ago
Geometric displacement on plane and sphere
This paper describes a new algorithm for geometric displacement mapping. Its key idea is that all occluded solutions for an eye ray lie in two-dimensional manifolds perpendicular ...
Elodie Fourquet, William Cowan, Stephen Mann
COMPGEOM
2001
ACM
15 years 7 months ago
Hierarchical morse complexes for piecewise linear 2-manifolds
We present algorithms for constructing a hierarchy of increasingly coarse Morse complexes that decompose a piecewise linear 2-manifold. While Morse complexes are defined only in t...
Herbert Edelsbrunner, John Harer, Afra Zomorodian