Maximum-likelihood and best invariant orientation estimation

I. Vaughan L Clarkson; Stephen D. Howard; William Moran; Douglas Cochran; Megan L. Dawson

doi:10.1109/ACSSC.2010.5757890

Maximum-likelihood and best invariant orientation estimation

I. Vaughan L Clarkson, Stephen D. Howard, William Moran, Douglas Cochran, Megan L. Dawson

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

4 Scopus citations

Abstract

Estimation of orientation or attitude is a longstanding problem in statistics and signal processing, with applications to crystallography, aeronautics and computer vision. In this paper, we consider the Mackenzie-Wahba estimator. This estimator is known to be maximum-likelihood but we further show that it is a Bayes estimator and also a best invariant estimator.

Original language	English (US)
Title of host publication	Conference Record of the 44th Asilomar Conference on Signals, Systems and Computers, Asilomar 2010
Pages	1996-2000
Number of pages	5
DOIs	https://doi.org/10.1109/ACSSC.2010.5757890
State	Published - Dec 1 2010
Event	44th Asilomar Conference on Signals, Systems and Computers, Asilomar 2010 - Pacific Grove, CA, United States Duration: Nov 7 2010 → Nov 10 2010

Publication series

Name	Conference Record - Asilomar Conference on Signals, Systems and Computers

Other

Other	44th Asilomar Conference on Signals, Systems and Computers, Asilomar 2010
Country/Territory	United States
City	Pacific Grove, CA
Period	11/7/10 → 11/10/10

ASJC Scopus subject areas

Signal Processing
Computer Networks and Communications

Access to Document

10.1109/ACSSC.2010.5757890

Cite this

Clarkson, I. V. L., Howard, S. D., Moran, W., Cochran, D., & Dawson, M. L. (2010). Maximum-likelihood and best invariant orientation estimation. In Conference Record of the 44th Asilomar Conference on Signals, Systems and Computers, Asilomar 2010 (pp. 1996-2000). Article 5757890 (Conference Record - Asilomar Conference on Signals, Systems and Computers). https://doi.org/10.1109/ACSSC.2010.5757890

Maximum-likelihood and best invariant orientation estimation. / Clarkson, I. Vaughan L; Howard, Stephen D.; Moran, William et al.
Conference Record of the 44th Asilomar Conference on Signals, Systems and Computers, Asilomar 2010. 2010. p. 1996-2000 5757890 (Conference Record - Asilomar Conference on Signals, Systems and Computers).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Clarkson, IVL, Howard, SD, Moran, W, Cochran, D & Dawson, ML 2010, Maximum-likelihood and best invariant orientation estimation. in Conference Record of the 44th Asilomar Conference on Signals, Systems and Computers, Asilomar 2010., 5757890, Conference Record - Asilomar Conference on Signals, Systems and Computers, pp. 1996-2000, 44th Asilomar Conference on Signals, Systems and Computers, Asilomar 2010, Pacific Grove, CA, United States, 11/7/10. https://doi.org/10.1109/ACSSC.2010.5757890

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AB - Estimation of orientation or attitude is a longstanding problem in statistics and signal processing, with applications to crystallography, aeronautics and computer vision. In this paper, we consider the Mackenzie-Wahba estimator. This estimator is known to be maximum-likelihood but we further show that it is a Bayes estimator and also a best invariant estimator.

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Maximum-likelihood and best invariant orientation estimation

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