Global confidence regions in parametric shape estimation

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We introduce confidence region techniques for analyzing and visualizing the performance of two-dimensional parametric shape estimators. Assuming an asymptotically normal and efficient estimator for a finite parameterization of the object boundary, Cramer-Rao bounds are used to define a confidence region, centered around the true boundary. Computation of the probability that an entire boundary estimate lies within the confidence region is a challenging problem, because the estimate is a two-dimensional nonstationary random process. We derive lower bounds on this probability using level crossing statistics. The results make it possible to generate confidence regions for arbitrary prescribed probabilities. These global confidence regions conveniently display the uncertainty in various geometric parameters such as shape, size, orientation, and position of the estimated object, and facilitate geometric inferences. Numerical simulations suggest that the new bounds are quite tight.

Original languageEnglish (US)
Title of host publicationCommunicationsSensor Array and Multichannel Signal Processing
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages3180-3183
Number of pages4
ISBN (Electronic)0780362934
DOIs
StatePublished - Jan 1 2000
Event25th IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2000 - Istanbul, Turkey
Duration: Jun 5 2000Jun 9 2000

Publication series

NameICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
Volume5
ISSN (Print)1520-6149

Other

Other25th IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2000
CountryTurkey
CityIstanbul
Period6/5/006/9/00

ASJC Scopus subject areas

  • Software
  • Signal Processing
  • Electrical and Electronic Engineering

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  • Cite this

    Ye, J. C., Bresler, Y., & Moulin, P. (2000). Global confidence regions in parametric shape estimation. In CommunicationsSensor Array and Multichannel Signal Processing (pp. 3180-3183). [861213] (ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings; Vol. 5). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ICASSP.2000.861213