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FOCM
2002
97views more  FOCM 2002»
13 years 8 months ago
On the Riemannian Geometry Defined by Self-Concordant Barriers and Interior-Point Methods
We consider the Riemannian geometry defined on a convex set by the Hessian of a selfconcordant barrier function, and its associated geodesic curves. These provide guidance for the...
Yu. E. Nesterov, Michael J. Todd
CORR
2010
Springer
215views Education» more  CORR 2010»
13 years 3 months ago
Affine-invariant diffusion geometry for the analysis of deformable 3D shapes
We introduce an (equi-)affine invariant diffusion geometry by which surfaces that go through squeeze and shear transformations can still be properly analyzed. The definition of an...
Daniel Raviv, Alexander M. Bronstein, Michael M. B...
ICIP
2010
IEEE
13 years 6 months ago
A sparsity-distortion-optimized multiscale representation of geometry
This paper describes the construction of a new multiresolutional decomposition with applications to image compression. The proposed method designs sparsity-distortion-optimized or...
Osman Gokhan Sezer, Yucel Altunbasak, Onur G. Gule...
DCG
2008
90views more  DCG 2008»
13 years 8 months ago
Enumeration in Convex Geometries and Associated Polytopal Subdivisions of Spheres
We construct CW spheres from the lattices that arise as the closed sets of a convex closure, the meet-distributive lattices. These spheres are nearly polytopal, in the sense that t...
Louis J. Billera, Samuel K. Hsiao, J. Scott Provan
ESA
2006
Springer
130views Algorithms» more  ESA 2006»
13 years 12 months ago
Robust, Generic and Efficient Construction of Envelopes of Surfaces in Three-Dimensional Spaces
Lower envelopes are fundamental structures in computational geometry, which have many applications, such as computing general Voronoi diagrams and performing hidden surface removal...
Michal Meyerovitch