On the Configurations of Closed Kinematic Chains in Three-dimensional Space

DOI10.36890/iejg.972576zbMath1493.70013arXiv2107.14588OpenAlexW3189018805MaRDI QIDQ5074990

Gerhard Zangerl, Alexander Steinicke

Publication date: 10 May 2022

Published in: International Electronic Journal of Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.14588

zbMATH Keywords

configuration spacepath planningclosed kinematic chainclosed continues random walk

Mathematics Subject Classification ID

Multivariable systems, multidimensional control systems (93C35) Sampled-data control/observation systems (93C57) Kinematics of mechanisms and robots (70B15)

Cites Work

• Unnamed Item
• Generic singular configurations of linkages
• A new and efficient algorithm for the inverse kinematics of a general serial \(6R\) manipulator
• Linear and nonlinear programming.
• The cohomology ring of polygon spaces
• The geometry of configuration spaces for closed chains in two and three dimensions
• Topology of the configuration space of polygons as a codimension one submanifold of a torus
• Synthesis of spherical four-bar mechanisms using spherical kinematic mapping
• Stratified Deformation Space and Path Planning for a Planar Closed Chain with Revolute Joints
• On the Configuration Space of Planar Closed Kinematic Chains
• Planning Algorithms
• On the moduli space of polygons in the Euclidean plane

This page was built for publication: On the Configurations of Closed Kinematic Chains in Three-dimensional Space