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SCALESPACE
2007
Springer
13 years 11 months ago
Scale Spaces on Lie Groups
In the standard scale space approach one obtains a scale space representation u : Rd R+ → R of an image f ∈ L2(Rd ) by means of an evolution equation on the additive group (Rd ...
Remco Duits, Bernhard Burgeth
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
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...
CDC
2008
IEEE
152views Control Systems» more  CDC 2008»
13 years 11 months ago
Coordination on Lie groups
— This paper studies the coordinated motion of a group of agents evolving on a Lie group. Left- or rightinvariance with respect to the absolute position on the group lead to two ...
Alain Sarlette, Silvere Bonnabel, Rodolphe Sepulch...
CVPR
2010
IEEE
14 years 1 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...