Results 311 to 320 of about 15,318,133 (354)

Human Action Recognition by Representing 3D Skeletons as Points in a Lie Group

2014 IEEE Conference on Computer Vision and Pattern Recognition, 2014
Recently introduced cost-effective depth sensors coupled with the real-time skeleton estimation algorithm of Shotton et al. [16] have generated a renewed interest in skeleton-based human action recognition.
Raviteja Vemulapalli, Felipe Arrate, R. Chellappa   +2 more
semanticscholar   +1 more source

Post-groups, (Lie-)Butcher groups and the Yang–Baxter equation

Mathematische Annalen, 2023
The notions of a post-group and a pre-group are introduced as a unification and enrichment of several group structures appearing in diverse areas from numerical integration to the Yang–Baxter equation.
C. Bai, Li Guo, Y. Sheng, Rong Tang
semanticscholar   +1 more source

Lie Group Spectral Variational Integrators

Foundations of Computational Mathematics, 2014
We present a new class of high-order variational integrators on Lie groups. We show that these integrators are symplectic and momentum-preserving, can be constructed to be of arbitrarily high order, or can be made to converge geometrically.
James Hall, M. Leok
semanticscholar   +1 more source

The Lie group of bisections of a Lie groupoid

, 2014
In this article, we endow the group of bisections of a Lie groupoid with compact base with a natural locally convex Lie group structure. Moreover, we develop thoroughly the connection to the algebra of sections of the associated Lie algebroid and show ...
Alexander Schmeding, Christoph Wockel
semanticscholar   +1 more source

Lie groups

Journal of Soviet Mathematics, 1985
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

Lie Groups and Lie Algebras [PDF]

, 1976
As we pointed out in 6.2, there are exactly two simple real Lie algebras of dimension 3. These are: the algebra \( {{\mathfrak{g}}_{1}} = \mathfrak{s}\mathfrak{l}\left( {2,R} \right) \) of real matrices of the second order with zero trace and the algebra \( {{\mathfrak{g}}_{2}} = \mathfrak{s}\mathfrak{o} = \left( {3,R} \right) \) of real skew-symmetric
openaire   +1 more source

Lie Groups and Lie Algebras

1988
Whereas discrete groups mainly describe the symmetries of regular geometric structures (crystals), continuous groups are essential in discussing the properties of particles, fields (atoms and all the more elementary particles) and conservation laws. We restrict the investigation here to Lie groups and the Lie algebras connected with them.
W. Ludwig, Claus Falter
openaire   +2 more sources

Elementary Lie Group Analysis and Ordinary Differential Equations

, 1999
Introduction to Differential Equations. Transformation Groups. Lie Group Analysis of Ordinary Differential Equations. Brief on Lie Algebras. First Order Differential Equations. Integration of Second Order Equations.
N. Ibragimov
semanticscholar   +1 more source

Lie Group and Lie Algebra

2021
In the last lecture, we introduced the description of rigid body motion in the three-dimensional world, including the rotation matrix, rotation vector, Euler angle, quaternion, and so on. We focused on the representation of rotation, but in SLAM, we have to estimate and optimize them in addition to the representation.
Tao Zhang, Xiang Gao
openaire   +4 more sources

Two Lie Group Formulations for Dynamic Multibody Systems With Large Rotations

, 2011
This paper studies the formulation of the dynamics of multibody systems with large rotation variables and kinematic constraints as differential-algebraic equations on a matrix Lie group.
O. Bruls, M. Arnold, A. Cardona
semanticscholar   +1 more source