Determining 3-D relative transformations for any combination of range and bearing measurements

Research output: Contribution to journalArticlepeer-review

8 Scopus citations

Abstract

In this paper, we address the problem of motion-induced 3-D robot-to-robot extrinsic calibration that is based on ego-motion estimates and combinations of interrobot measurements (i.e., distance and/or bearing observations from either or both of the two robots, recorded across multiple time steps). In particular, we focus on solving minimal problems, where the unknown 6-degree-of-freedom (DOF) transformation between the two robots is determined based on the minimum number of measurements necessary to find a finite set of solutions. In order to address the very large number of possible combinations of interrobot observations, we identify symmetries in the measurement sequence and use them to prove that any extrinsic robot-to-robot calibration problem can be solved based on the solutions of only 14 (base) minimal problems. Moreover, we provide algebraic (closed-form) and efficient symbolic-numerical (analytical) solution methods to these minimal problems. Finally, we evaluate the performance of our proposed solvers through extensive simulations and experiments.

Original languageEnglish (US)
Article number6377311
Pages (from-to)458-474
Number of pages17
JournalIEEE Transactions on Robotics
Volume29
Issue number2
DOIs
StatePublished - Jan 1 2013

Keywords

  • Algebraic geometry
  • analytical solutions
  • bearing measurements
  • distance measurements
  • extrinsic calibration
  • mobile sensors

Fingerprint

Dive into the research topics of 'Determining 3-D relative transformations for any combination of range and bearing measurements'. Together they form a unique fingerprint.

Cite this