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» Convexity in Topological Affine Planes
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DCG
2007
78views more  DCG 2007»
13 years 4 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 4 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 4 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 6 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
13 years 11 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...