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» Coordination on Lie groups
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VLSM
2005
Springer
13 years 11 months ago
Denoising Tensors via Lie Group Flows
The need to regularize tensor fields arise recently in various applications. We treat in this paper tensors that belong to matrix Lie groups. We formulate the problem of these SO(...
Yaniv Gur, Nir A. Sochen
CVPR
2010
IEEE
14 years 2 months ago
Monocular SLAM with Locally Planar Landmarks via Geometric Rao-Blackwellized Particle Filtering on Lie groups
We propose a novel geometric Rao-Blackwellized particle filtering framework for monocular SLAM with locally planar landmarks. We represent the states for the camera pose and the la...
Junghyun Kwon (Seoul National University) and Kyou...
IPMI
2003
Springer
14 years 6 months ago
Gaussian Distributions on Lie Groups and Their Application to Statistical Shape Analysis
The Gaussian distribution is the basis for many methods used in the statistical analysis of shape. One such method is principal component analysis, which has proven to be a powerfu...
P. Thomas Fletcher, Sarang C. Joshi, Conglin Lu, S...
ICCV
2005
IEEE
13 years 11 months ago
Simultaneous Multiple 3D Motion Estimation via Mode Finding on Lie Groups
We propose a new method to estimate multiple rigid motions from noisy 3D point correspondences in the presence of outliers. The method does not require prior specification of num...
Oncel Tuzel, Raghav Subbarao, Peter Meer
CVPR
2003
IEEE
14 years 7 months ago
Statistics of Shape via Principal Geodesic Analysis on Lie Groups
Principal component analysis has proven to be useful for understanding geometric variability in populations of parameterized objects. The statistical framework is well understood ...
P. Thomas Fletcher, Conglin Lu, Sarang C. Joshi