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» Lower Bounds and Real Algebraic Geometry
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ICCV
2001
IEEE
15 years 23 days ago
Multiple View Geometry of Non-planar Algebraic Curves
We introduce a number of new results in the context of multi-view geometry from general algebraic curves. We start with the derivation of the extended Kruppa's equations whic...
Jeremy Yermiyahou Kaminski, Michael Fryers, Amnon ...
AAECC
2010
Springer
132views Algorithms» more  AAECC 2010»
13 years 11 months ago
On the geometry of polar varieties
The aim of this paper is a comprehensive presentation of the geometrical tools which are necessary to prove the correctness of several up to date algorithms with intrinsic complex...
Bernd Bank, Marc Giusti, Joos Heintz, Mohab Safey ...
SPAA
2004
ACM
14 years 4 months ago
Lower bounds for graph embeddings and combinatorial preconditioners
Given a general graph G, a fundamental problem is to find a spanning tree H that best approximates G by some measure. Often this measure is some combination of the congestion and...
Gary L. Miller, Peter C. Richter
JMLR
2012
12 years 1 months ago
Minimax rates for homology inference
Often, high dimensional data lie close to a low-dimensional submanifold and it is of interest to understand the geometry of these submanifolds. The homology groups of a manifold a...
Sivaraman Balakrishnan, Alessandro Rinaldo, Don Sh...
TPHOL
2005
IEEE
14 years 4 months ago
Real Number Calculations and Theorem Proving
Wouldn’t it be nice to be able to conveniently use ordinary real number expressions within proof assistants? In this paper we outline how this can be done within a theorem provin...
César Muñoz, David Lester