Parameter estimates for a pencil of lines: Bounds and estimators

Gavriel Speyer; Michael Werman

doi:10.1007/3-540-47969-4_29

Parameter estimates for a pencil of lines: Bounds and estimators

Gavriel Speyer
, Michael Werman

The Rachel and Selim Benin School of Engineering and Computer Science

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

2 Scopus citations

Abstract

Estimating the parameters of a pencil of lines is addressed. A statistical model for the measurements is developed, from which the Cramer Rao lower bound is determined. An estimator is derived, and its performance is simulated and compared to the bound. The estimator is shown to be asymptotically efficient, and superior to the classical least squares algorithm.

Original language	English
Title of host publication	Computer Vision - ECCV 2002 - 7th European Conference on Computer Vision, Proceedings
Editors	Anders Heyden, Gunnar Sparr, Mads Nielsen, Peter Johansen
Publisher	Springer Verlag
Pages	432-446
Number of pages	15
ISBN (Print)	3540437452
DOIs	https://doi.org/10.1007/3-540-47969-4_29
State	Published - 2002
Event	7th European Conference on Computer Vision, ECCV 2002 - Copenhagen, Denmark Duration: 28 May 2002 → 31 May 2002

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	2350
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Conference

Conference	7th European Conference on Computer Vision, ECCV 2002
Country/Territory	Denmark
City	Copenhagen
Period	28/05/02 → 31/05/02

Bibliographical note

Publisher Copyright:
© Springer-Verlag Berlin Heidelberg 2002.

Access to Document

10.1007/3-540-47969-4_29

Cite this

Speyer, G., & Werman, M. (2002). Parameter estimates for a pencil of lines: Bounds and estimators. In A. Heyden, G. Sparr, M. Nielsen, & P. Johansen (Eds.), Computer Vision - ECCV 2002 - 7th European Conference on Computer Vision, Proceedings (pp. 432-446). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 2350). Springer Verlag. https://doi.org/10.1007/3-540-47969-4_29

Speyer, Gavriel ; Werman, Michael. / Parameter estimates for a pencil of lines : Bounds and estimators. Computer Vision - ECCV 2002 - 7th European Conference on Computer Vision, Proceedings. editor / Anders Heyden ; Gunnar Sparr ; Mads Nielsen ; Peter Johansen. Springer Verlag, 2002. pp. 432-446 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

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Speyer, G & Werman, M 2002, Parameter estimates for a pencil of lines: Bounds and estimators. in A Heyden, G Sparr, M Nielsen & P Johansen (eds), Computer Vision - ECCV 2002 - 7th European Conference on Computer Vision, Proceedings. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 2350, Springer Verlag, pp. 432-446, 7th European Conference on Computer Vision, ECCV 2002, Copenhagen, Denmark, 28/05/02. https://doi.org/10.1007/3-540-47969-4_29

Parameter estimates for a pencil of lines: Bounds and estimators. / Speyer, Gavriel; Werman, Michael.
Computer Vision - ECCV 2002 - 7th European Conference on Computer Vision, Proceedings. ed. / Anders Heyden; Gunnar Sparr; Mads Nielsen; Peter Johansen. Springer Verlag, 2002. p. 432-446 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 2350).

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

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Speyer G, Werman M. Parameter estimates for a pencil of lines: Bounds and estimators. In Heyden A, Sparr G, Nielsen M, Johansen P, editors, Computer Vision - ECCV 2002 - 7th European Conference on Computer Vision, Proceedings. Springer Verlag. 2002. p. 432-446. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). doi: 10.1007/3-540-47969-4_29

Parameter estimates for a pencil of lines: Bounds and estimators

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