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COMPGEOM
2010
ACM
14 years 1 months ago
Manifold reconstruction using tangential Delaunay complexes
We give a provably correct algorithm to reconstruct a kdimensional manifold embedded in d-dimensional Euclidean space. Input to our algorithm is a point sample coming from an unkn...
Jean-Daniel Boissonnat, Arijit Ghosh
BMCBI
2007
106views more  BMCBI 2007»
13 years 10 months ago
Constructing a meaningful evolutionary average at the phylogenetic center of mass
Background: As a consequence of the evolutionary process, data collected from related species tend to be similar. This similarity by descent can obscure subtler signals in the dat...
Eric A. Stone, Arend Sidow
COMGEO
2006
ACM
13 years 10 months ago
Computing homotopic shortest paths efficiently
Geometric shortest paths are a major topic in computational geometry; see the survey paper by Mitchell [12]. A shortest path between two points in a simple polygon can be found in...
Alon Efrat, Stephen G. Kobourov, Anna Lubiw
STOC
2009
ACM
168views Algorithms» more  STOC 2009»
14 years 10 months ago
Fault-tolerant spanners for general graphs
The paper concerns graph spanners that are resistant to vertex or edge failures. Given a weighted undirected n-vertex graph G = (V, E) and an integer k 1, the subgraph H = (V, E ...
Shiri Chechik, Michael Langberg, David Peleg, Liam...
SODA
2012
ACM
191views Algorithms» more  SODA 2012»
12 years 11 days ago
Submatrix maximum queries in Monge matrices and Monge partial matrices, and their applications
We describe a data structure for submatrix maximum queries in Monge matrices or Monge partial matrices, where a query specifies a contiguous submatrix of the given matrix, and it...
Haim Kaplan, Shay Mozes, Yahav Nussbaum, Micha Sha...