Globally Optimal Inverse Kinematics as a Quadratic Program

Fuente: arXiv
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Hauptverfasser: Votroubek, Tomáš, Kroupa, Tomáš
Format: Preprint
Veröffentlicht: 2023
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author Votroubek, Tomáš
Kroupa, Tomáš
author_facet Votroubek, Tomáš
Kroupa, Tomáš
contents We show how to compute globally optimal solutions to inverse kinematics (IK) by formulating the problem as an indefinite quadratically constrained quadratic program. Our approach makes it feasible to solve IK instances of generic redundant manipulators. We demonstrate the performance on randomly generated designs and on real-world robots with up to ten revolute joints. The same technique can be used for manipulator design by introducing kinematic parameters as variables.
format Preprint
id arxiv_https___arxiv_org_abs_2312_15569
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Globally Optimal Inverse Kinematics as a Quadratic Program
Votroubek, Tomáš
Kroupa, Tomáš
Robotics
49N90 (Primary), 93C85 (Secondary)
I.2.9; I.6.3
We show how to compute globally optimal solutions to inverse kinematics (IK) by formulating the problem as an indefinite quadratically constrained quadratic program. Our approach makes it feasible to solve IK instances of generic redundant manipulators. We demonstrate the performance on randomly generated designs and on real-world robots with up to ten revolute joints. The same technique can be used for manipulator design by introducing kinematic parameters as variables.
title Globally Optimal Inverse Kinematics as a Quadratic Program
topic Robotics
49N90 (Primary), 93C85 (Secondary)
I.2.9; I.6.3
url https://arxiv.org/abs/2312.15569