Grassmann-Cayley algebra and robotics

DOI10.1007/BF01258296zbMath0821.15020MaRDI QIDQ1842760

Neil L. White

Publication date: 18 May 1995

Published in: Journal of Intelligent \& Robotic Systems (Search for Journal in Brave)

zbMATH Keywords

splinesCayley factorizationGrassmann-Cayley algebraPlücker coordinatesbracket algebrabracket conditioncomputer-aided geometric reasoningmotions of robot armsrigidity of frameworkseries- parallel mechanisms

Mathematics Subject Classification ID

Kinematics of mechanisms and robots (70B15) Exterior algebra, Grassmann algebras (15A75)

Related Items

A general graphical procedure for finding motion centers of planar mechanisms ⋮ A short note on point singularities for robot manipulators ⋮ Body-and-cad geometric constraint systems ⋮ Rigid body dynamics using equimomental systems of point-masses ⋮ A proof of the molecular conjecture ⋮ Relative centers of motion, implicit bars and dead-center positions for planar mechanisms ⋮ Cayley factorization and the area principle ⋮ Mobility analysis of overconstrained parallel mechanism using Grassmann-Cayley algebra

Cites Work

• On the exterior calculus of invariant theory
• On the application of Buchberger's algorithm to automated geometry theorem proving
• Multilinear Cayley factorization
• The Algebraic Geometry of Stresses in Frameworks
• On the Foundations of Combinatorial Theory: IX Combinatorial Methods in Invariant Theory
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