A simple solution to the six-point two-view focal-length problem

Hongdong Li

doi:10.1007/11744085_16

A simple solution to the six-point two-view focal-length problem

Hongdong Li^*

^*Corresponding author for this work

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

45 Citations (Scopus)

Abstract

This paper presents a simple and practical solution to the 6-point 2-view focal-length estimation problem. Based on the hidden-variable technique we have derived a 15th degree polynomial in the unknown focal-length. During this course, a simple and constructive algorithm is established. To make use of multiple redundant measurements and then select the best solution, we suggest a kernel-voting scheme. The algorithm has been tested on both synthetic data and real images. Satisfactory results are obtained for both cases. For reference purpose we include our Matlab implementation in the paper, which is quite concise, consisting of 20 lines of code only. The result of this paper will make a small but useful module in many computer vision systems.

Original language	English
Title of host publication	Computer Vision - ECCV 2006, 9th European Conference on Computer Vision, Proceedings
Publisher	Springer Verlag
Pages	200-213
Number of pages	14
ISBN (Print)	3540338381, 9783540338383
DOIs	https://doi.org/10.1007/11744085_16
Publication status	Published - 2006
Event	9th European Conference on Computer Vision, ECCV 2006 - Graz, Austria Duration: 7 May 2006 → 13 May 2006

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	3954 LNCS
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Conference

Conference	9th European Conference on Computer Vision, ECCV 2006
Country/Territory	Austria
City	Graz
Period	7/05/06 → 13/05/06

Access to Document

10.1007/11744085_16

Cite this

Li, H. (2006). A simple solution to the six-point two-view focal-length problem. In Computer Vision - ECCV 2006, 9th European Conference on Computer Vision, Proceedings (pp. 200-213). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 3954 LNCS). Springer Verlag. https://doi.org/10.1007/11744085_16

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title = "A simple solution to the six-point two-view focal-length problem",

abstract = "This paper presents a simple and practical solution to the 6-point 2-view focal-length estimation problem. Based on the hidden-variable technique we have derived a 15th degree polynomial in the unknown focal-length. During this course, a simple and constructive algorithm is established. To make use of multiple redundant measurements and then select the best solution, we suggest a kernel-voting scheme. The algorithm has been tested on both synthetic data and real images. Satisfactory results are obtained for both cases. For reference purpose we include our Matlab implementation in the paper, which is quite concise, consisting of 20 lines of code only. The result of this paper will make a small but useful module in many computer vision systems.",

author = "Hongdong Li",

year = "2006",

doi = "10.1007/11744085_16",

language = "English",

isbn = "3540338381",

series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",

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booktitle = "Computer Vision - ECCV 2006, 9th European Conference on Computer Vision, Proceedings",

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note = "9th European Conference on Computer Vision, ECCV 2006 ; Conference date: 07-05-2006 Through 13-05-2006",

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Li, H 2006, A simple solution to the six-point two-view focal-length problem. in Computer Vision - ECCV 2006, 9th European Conference on Computer Vision, Proceedings. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 3954 LNCS, Springer Verlag, pp. 200-213, 9th European Conference on Computer Vision, ECCV 2006, Graz, Austria, 7/05/06. https://doi.org/10.1007/11744085_16

A simple solution to the six-point two-view focal-length problem. / Li, Hongdong.
Computer Vision - ECCV 2006, 9th European Conference on Computer Vision, Proceedings. Springer Verlag, 2006. p. 200-213 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 3954 LNCS).

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

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AB - This paper presents a simple and practical solution to the 6-point 2-view focal-length estimation problem. Based on the hidden-variable technique we have derived a 15th degree polynomial in the unknown focal-length. During this course, a simple and constructive algorithm is established. To make use of multiple redundant measurements and then select the best solution, we suggest a kernel-voting scheme. The algorithm has been tested on both synthetic data and real images. Satisfactory results are obtained for both cases. For reference purpose we include our Matlab implementation in the paper, which is quite concise, consisting of 20 lines of code only. The result of this paper will make a small but useful module in many computer vision systems.

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A simple solution to the six-point two-view focal-length problem

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