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The geometrical representation of path planning problems

  • Published:1991-08 Issue:2-3 Volume:7 Page:181-195
  • ISSN:0921-8890
  • Container-title:Robotics and Autonomous Systems
  • language:en
  • Short-container-title:Robotics and Autonomous Systems

Author:

Dorst Leo,Mandhyan Indur,Trovato Karen

Publisher

Elsevier BV

Subject

Computer Science Applications,General Mathematics,Software,Control and Systems Engineering

Reference20 articles.

1. Ordinary Differential Equations;Arnold,1981

2. A practical exact motion planning algorithm for polygonal objects amidst polygonal obstacles;Avnaim,1988

3. On nonholonomic mobile robots and optimal maneuvering;Barraquand,1988

4. Differential Geometrical Control Theory;Brockett,1982

5. A geometric approach to error detection and recovery for robot motion planning with uncertainty;Donald;Artificial Intelligence,1988

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1. A state-of-the-art review on topology and differential geometry-based robotic path planning—part I: planning under static constraints;International Journal of Intelligent Robotics and Applications;2024-03-20

2. Constraint-free discretized manifold-based path planner;International Journal of Intelligent Robotics and Applications;2023-10-14

3. Goal-Directed Navigation in Multi-Scale Environment Based On Wavefronts Propagation in Cortical Network;Proceedings of the 2019 International Conference on Artificial Intelligence and Advanced Manufacturing - AIAM 2019;2019

4. Solving the initial value problem of discrete geodesics;Computer-Aided Design;2016-01

5. Rapid, parallel path planning by propagating wavefronts of spiking neural activity;Frontiers in Computational Neuroscience;2013
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