CDC
2010
IEEE
12 years 11 months ago
2010
IEEE
Many nonlinear systems of practical interest evolve on Lie groups or on manifolds acted upon by Lie groups. Examples range from aircraft and underwater vehicles to quantum mechanic...
CDC
2010
IEEE
12 years 11 months ago
2010
IEEE
Abstract-- Curves and natural frames can be used for describing and controlling motion in both biological and engineering contexts (e.g., pursuit and formation control). The geomet...
MOC
2000
13 years 4 months ago
2000
Consider a differential equation y = A(t, y)y, y(0) = y0 with y0 G and A : R+
CORR
2002
Springer
13 years 4 months ago
2002
Springer
We rephrase the problem of 3D reconstruction from images in terms of intersections of projections of orbits of custom built Lie groups actions. We then use an algorithmic method b...
MMMACNS
2005
Springer
13 years 9 months ago
2005
Springer
The continuous general linear group in n dimensions can be decomposed into two Lie groups: (1) an n(n-1) dimensional ‘Markov type’ Lie group that is defined by preserving the ...
CVPR
2006
IEEE
13 years 10 months ago
2006
IEEE
The mean shift algorithm is widely applied for nonparametric clustering in Euclidean spaces. Recently, mean shift was generalized for clustering on matrix Lie groups. We further e...
CDC
2008
IEEE
13 years 10 months ago
2008
IEEE
— 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 ...