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Path Planning for Variable Resolution Minimal-Energy Curves of Constant Length
Moll, M.   Kavraki, L.E.  
Department of Computer Science, Rice University, Houston, TX 77005; mmoll@cs.rice.edu;

This paper appears in: Robotics and Automation, 2005. ICRA 2005. Proceedings of the 2005 IEEE International Conference on
Publication Date: 18-22 April 2005
On page(s): 2130- 2135
ISBN: 0-7803-8914-X
Current Version Published: 2006-01-10

Abstract
We present a new approach to path planning for flexible wires. We introduce a method for computing stable configurations of a wire subject to manipulation constraints. These configurations correspond to minimal-energy curves. The representation is adaptive in the sense that the number of parameters automatically varies with the complexity of the underlying curve. We introduce a planner that computes paths from one minimal-energy curve to another such that all intermediate curves are also minimal-energy curves. Using a simplified model for obstacles, we can find minimal-energy curves of fixed length that pass through specified tangents at given control points. Our work has applications in motion planning for surgical suturing and snake-like robots.

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