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Minimal Structure and Motion Problems for TOA and TDOA Measurements with Collinearity Constraints

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Author

Editor

  • Maria De Marsico
  • Ana Fred

Summary, in English

Structure from sound can be phrased as the problem of determining the position of a number of microphones and a number of sound sources given only the recorded sounds. In this paper we study minimal structure from sound problems in both TOA (time of arrival) and TDOA (time difference of arrival) settings with collinear constraints on e.g. the microphone positions. Three such minimal cases are analyzed and solved with efficient and numerically stable techniques. An experimental validation of the solvers are performed on both simulated and real data. In the paper we also show how such solvers can be utilized in a RANSAC framework to perform robust matching of sound features and then used as initial estimates in a robust non-linear leastsquares optimization.

Publishing year

2013

Language

English

Pages

425-429

Publication/Series

2nd International Conference on Pattern Recognition Applications and Methods, Proceedings of

Document type

Conference paper

Publisher

SciTePress

Topic

  • Mathematics
  • Computer Vision and Robotics (Autonomous Systems)

Keywords

  • Sensor Calibration
  • Polynomials
  • Action Matrix Method
  • TDOA
  • TOA

Conference name

2nd International Conference on Pattern Recognition Applications and Methods (ICPRAM 2013)

Conference date

2013-02-15 - 2013-02-18

Conference place

Barcelona, Spain

Status

Published

Research group

  • Mathematical Imaging Group

ISBN/ISSN/Other

  • ISBN: 978-989-8565-41-9