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» Minimizing Algebraic Error in Geometric Estimation Problems
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71
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ICCV
2001
IEEE
15 years 11 months ago
Optimal Motion Estimation from Multiview Normalized Epipolar Constraint
In this paper, we study the structure from motion problem as a constrained nonlinear least squares problem which minimizes the so called reprojection error subject to all constrai...
René Vidal, Shankar Sastry, Shawn Hsu, Yi M...
64
Voted
ECCV
2000
Springer
15 years 11 months ago
A Six Point Solution for Structure and Motion
The paper has two main contributions: The rst is a set of methods for computing structure and motion for m 3 views of 6 points. It is shown that a geometric image error can be mini...
Frederik Schaffalitzky, Andrew Zisserman, Richard ...
71
Voted
SODA
2010
ACM
163views Algorithms» more  SODA 2010»
15 years 7 months ago
Geometric optimization and sums of algebraic functions
We present a new optimization technique that yields the first FPTAS for several geometric problems. These problems reduce to optimizing a sum of non-negative, constant description...
Antoine Vigneron
CVPR
2004
IEEE
15 years 11 months ago
Minimum Effective Dimension for Mixtures of Subspaces: A Robust GPCA Algorithm and Its Applications
In this paper, we propose a robust model selection criterion for mixtures of subspaces called minimum effective dimension (MED). Previous information-theoretic model selection cri...
Kun Huang, René Vidal, Yi Ma
ICPR
2008
IEEE
15 years 4 months ago
Radon transform and Conformal Geometric Algebra with lines
In this paper we apply the classic theory of Harmonic Analysis and the Conformal Geometric Algebra (CGA) to evaluate the Fourier transform on the unit sphere S2 and on the rotatio...
Luis Falcón-Morales, Eduardo Bayro-Corrocha...