Bayesian detection with amplitude, scale, orientation and position uncertainty

Eric Clarkson; Harrison Barrett

doi:10.1007/3-540-63046-5_58

Bayesian detection with amplitude, scale, orientation and position uncertainty

Eric Clarkson, Harrison Barrett

Medical Imaging

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

4 Scopus citations

Abstract

The likelihood ratio is computed in the case where the background is known, the signal has a known shape, but the amplitude, scale, orientation and location of the signaI are unknown. The noise is assumed to be additive i.i.d. Caussian. The result is an expression involving the mutidimensional wavelet transform of the data with respect to the signal. The linear and quadratic approximations to the full likelihood statistic are examined in detail and are seen to involve operations commonly used in this context. Finally the full nonlinear ratio is formulated in germs of an amplification and modulation mechanism from the data to the prior probabilty distribution on the unknown parameters.

Original language	English (US)
Title of host publication	Information Processing in Medical Imaging - 15th International Conference, IPMI 1997, Proceedings
Editors	James Duncan, Gene Gindi
Publisher	Springer-Verlag
Pages	549-554
Number of pages	6
ISBN (Print)	3540630465, 9783540630463
DOIs	https://doi.org/10.1007/3-540-63046-5_58
State	Published - 1997
Event	15th International Conference on Information Processing in Medical Imaging, IPMI 1997 - Poultney, United States Duration: Jun 9 1997 → Jun 13 1997

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	1230
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Other

Other	15th International Conference on Information Processing in Medical Imaging, IPMI 1997
Country/Territory	United States
City	Poultney
Period	6/9/97 → 6/13/97

ASJC Scopus subject areas

Theoretical Computer Science
General Computer Science

Access to Document

10.1007/3-540-63046-5_58

Cite this

Clarkson, E., & Barrett, H. (1997). Bayesian detection with amplitude, scale, orientation and position uncertainty. In J. Duncan, & G. Gindi (Eds.), Information Processing in Medical Imaging - 15th International Conference, IPMI 1997, Proceedings (pp. 549-554). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 1230). Springer-Verlag. https://doi.org/10.1007/3-540-63046-5_58

Bayesian detection with amplitude, scale, orientation and position uncertainty. / Clarkson, Eric; Barrett, Harrison.
Information Processing in Medical Imaging - 15th International Conference, IPMI 1997, Proceedings. ed. / James Duncan; Gene Gindi. Springer-Verlag, 1997. p. 549-554 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 1230).

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

Clarkson, E & Barrett, H 1997, Bayesian detection with amplitude, scale, orientation and position uncertainty. in J Duncan & G Gindi (eds), Information Processing in Medical Imaging - 15th International Conference, IPMI 1997, Proceedings. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 1230, Springer-Verlag, pp. 549-554, 15th International Conference on Information Processing in Medical Imaging, IPMI 1997, Poultney, United States, 6/9/97. https://doi.org/10.1007/3-540-63046-5_58

Clarkson E, Barrett H. Bayesian detection with amplitude, scale, orientation and position uncertainty. In Duncan J, Gindi G, editors, Information Processing in Medical Imaging - 15th International Conference, IPMI 1997, Proceedings. Springer-Verlag. 1997. p. 549-554. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). doi: 10.1007/3-540-63046-5_58

Clarkson, Eric ; Barrett, Harrison. / Bayesian detection with amplitude, scale, orientation and position uncertainty. Information Processing in Medical Imaging - 15th International Conference, IPMI 1997, Proceedings. editor / James Duncan ; Gene Gindi. Springer-Verlag, 1997. pp. 549-554 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

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Bayesian detection with amplitude, scale, orientation and position uncertainty

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