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» Optimal Algorithms in Multiview Geometry
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COMPGEOM
2007
ACM
13 years 11 months ago
An optimal generalization of the centerpoint theorem, and its extensions
We prove an optimal generalization of the centerpoint theorem: given a set P of n points in the plane, there exist two points (not necessarily among input points) that hit all con...
Saurabh Ray, Nabil H. Mustafa
FOCM
2002
97views more  FOCM 2002»
13 years 7 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
CVPR
2007
IEEE
14 years 9 months ago
Global Optimization for Shape Fitting
We propose a global optimization framework for 3D shape reconstruction from sparse noisy 3D measurements frequently encountered in range scanning, sparse featurebased stereo, and ...
Victor S. Lempitsky, Yuri Boykov
ECCV
2010
Springer
14 years 19 days ago
Anisotropic Minimal Surfaces Integrating Photoconsistency and Normal Information for Multiview Stereo
Abstract. In this work the weighted minimal surface model traditionally used in multiview stereo is revisited. We propose to generalize the classical photoconsistency-weighted mini...
PAMI
2011
13 years 2 months ago
Multiview Stereo and Silhouette Consistency via Convex Functionals over Convex Domains
—We propose a convex formulation for silhouette and stereo fusion in 3D reconstruction from multiple images. The key idea is to show that the reconstruction problem can be cast a...
Daniel Cremers, Kalin Kolev