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COMPGEOM
2009
ACM
14 years 3 months ago
Area-universal rectangular layouts
David Eppstein, Elena Mumford, Bettina Speckmann, ...
COMPGEOM
2009
ACM
14 years 3 months ago
High resolution surface reconstruction from overlapping multiple-views
Extracting a computer model of a real scene from a sequence of views, is one of the most challenging and fundamental problems in computer vision. Stereo vision algorithms allow us...
Nader Salman, Mariette Yvinec
COMPGEOM
2009
ACM
14 years 3 months ago
Zigzag persistent homology and real-valued functions
We study the problem of computing zigzag persistence of a sequence of homology groups and study a particular sequence derived from the levelsets of a real-valued function on a top...
Gunnar Carlsson, Vin de Silva, Dmitriy Morozov
COMPGEOM
2009
ACM
14 years 3 months ago
Distributed vision with smart pixels
Sándor P. Fekete, Dietmar Fey, Marcus Koman...
COMPGEOM
2009
ACM
14 years 3 months ago
An improved bound on the number of unit area triangles
We show that the number of unit-area triangles determined by a set of n points in the plane is O(n9/4+ε), for any ε > 0, improving the recent bound O(n44/19) of Dumitrescu et...
Roel Apfelbaum, Micha Sharir
COMPGEOM
2009
ACM
14 years 3 months ago
Incremental construction of the delaunay triangulation and the delaunay graph in medium dimension
We describe a new implementation of the well-known incremental algorithm for constructing Delaunay triangulations in any dimension. Our implementation follows the exact computing ...
Jean-Daniel Boissonnat, Olivier Devillers, Samuel ...
COMPGEOM
2009
ACM
14 years 3 months ago
Persistent cohomology and circular coordinates
Nonlinear dimensionality reduction (NLDR) algorithms such as Isomap, LLE and Laplacian Eigenmaps address the problem of representing high-dimensional nonlinear data in terms of lo...
Vin de Silva, Mikael Vejdemo-Johansson
COMPGEOM
2009
ACM
14 years 3 months ago
Randomly removing g handles at once
It was shown in [11] that any orientable graph of genus g can be probabilistically embedded into a graph of genus g − 1 with constant distortion. Removing handles one by one giv...
Glencora Borradaile, James R. Lee, Anastasios Sidi...
COMPGEOM
2009
ACM
14 years 3 months ago
On the topology of planar algebraic curves
We revisit the problem of computing the topology and geometry of a real algebraic plane curve. The topology is of prime interest but geometric information, such as the position of...
Jinsan Cheng, Sylvain Lazard, Luis Mariano Pe&ntil...
COMPGEOM
2009
ACM
14 years 3 months ago
PTAS for geometric hitting set problems via local search
We consider the problem of computing minimum geometric hitting sets in which, given a set of geometric objects and a set of points, the goal is to compute the smallest subset of p...
Nabil H. Mustafa, Saurabh Ray