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» Convexity in Topological Affine Planes
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DCG
2007
78views more  DCG 2007»
13 years 7 months ago
Convexity in Topological Affine Planes
We extend to topological affine planes the standard theorems of convexity, among them the separation theorem, the anti-exchange theorem, Radon’s, Helly’s, Carath´eodory’s,...
Raghavan Dhandapani, Jacob E. Goodman, Andreas Hol...
SIAMIS
2008
124views more  SIAMIS 2008»
13 years 7 months ago
Area Distances of Convex Plane Curves and Improper Affine Spheres
The area distance to a convex plane curve is an important concept in computer vision. In this paper we describe a strong link between area distances and improper affine spheres. Th...
Marcos Craizer, Moacyr Alvim, Ralph Teixeira
JMIV
2008
268views more  JMIV 2008»
13 years 7 months ago
A Fast Marching Method for the Area Based Affine Distance
In this paper we consider the problem of computing the area-based affine distance for a convex domain in the plane. Since this affine distance satisfies a non-homogeneous Monge-Amp...
Moacyr A. H. B. da Silva, Ralph Teixeira, Sin&eacu...
ICCV
2007
IEEE
14 years 9 months ago
Globally Optimal Affine and Metric Upgrades in Stratified Autocalibration
We present a practical, stratified autocalibration algorithm with theoretical guarantees of global optimality. Given a projective reconstruction, the first stage of the algorithm ...
Manmohan Krishna Chandraker, Sameer Agarwal, David...
FSTTCS
2007
Springer
14 years 1 months ago
Triangulations of Line Segment Sets in the Plane
Given a set S of line segments in the plane, we introduce a new family of partitions of the convex hull of S called segment triangulations of S. The set of faces of such a triangul...
Mathieu Brévilliers, Nicolas Chevallier, Do...