OTHER
Robot Kinematics and Flags
J. M. Selig
- Year
- 2001
- Citations
- 8
Abstract
In robotics the group of proper rigid transformations of 3-dimensional space is of central importance. The relevant Clifford algebra in this case is a degenerate one with three generators that square to — 1 and a single generator that squares to 0. The algebra contains a copy of the group’s double cover.
Keywords
FLAGS registerAlgebra over a fieldDegenerate energy levelsKinematicsGenerator (circuit theory)Group (periodic table)Artificial intelligenceSpace (punctuation)Cover (algebra)Computer science
Related papers
OTHER
📊 26,957 cites
Statistical Learning Theory
Yuhai Wu, Vladimir Vapnik
1999
PERCEPTION
📊 22,245 cites
Artificial intelligence: a modern approach
1995
OTHER
Open access📊 20,501 cites
Fractional Differential Equations
Igor Podlubný
2025
OTHER
📊 18,993 cites
Applied Nonlinear Control
Jean-Jacques Slotine, Weiping Li
1991