Two view constraints on the epipoles from few correspondences

Yoni Kasten; Michael Werman

doi:10.1109/ICIP.2018.8451727

Two view constraints on the epipoles from few correspondences

Yoni Kasten, 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

1 Scopus citations

Abstract

In general it requires at least 7 point correspondences to compute the fundamental matrix between views. We use the cross ratio invariance between corresponding epipolar lines, stemming from epipolar line homography, to derive a simple formulation for the relationship between epipoles and corresponding points. We show how it can be used to reduce the number of required points for the epipolar geometry when some information about the epipoles is available and demonstrate this with a buddy search app.

Original language	English
Title of host publication	2018 IEEE International Conference on Image Processing, ICIP 2018 - Proceedings
Publisher	IEEE Computer Society
Pages	888-892
Number of pages	5
ISBN (Electronic)	9781479970612
DOIs	https://doi.org/10.1109/ICIP.2018.8451727
State	Published - 29 Aug 2018
Event	25th IEEE International Conference on Image Processing, ICIP 2018 - Athens, Greece Duration: 7 Oct 2018 → 10 Oct 2018

Publication series

Name	Proceedings - International Conference on Image Processing, ICIP
ISSN (Print)	1522-4880

Conference

Conference	25th IEEE International Conference on Image Processing, ICIP 2018
Country/Territory	Greece
City	Athens
Period	7/10/18 → 10/10/18

Bibliographical note

Publisher Copyright:
© 2018 IEEE.

Keywords

Epipolar Geometry
Multiple View Geometry

Access to Document

10.1109/ICIP.2018.8451727

Cite this

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title = "Two view constraints on the epipoles from few correspondences",

abstract = "In general it requires at least 7 point correspondences to compute the fundamental matrix between views. We use the cross ratio invariance between corresponding epipolar lines, stemming from epipolar line homography, to derive a simple formulation for the relationship between epipoles and corresponding points. We show how it can be used to reduce the number of required points for the epipolar geometry when some information about the epipoles is available and demonstrate this with a buddy search app.",

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Kasten, Y & Werman, M 2018, Two view constraints on the epipoles from few correspondences. in 2018 IEEE International Conference on Image Processing, ICIP 2018 - Proceedings., 8451727, Proceedings - International Conference on Image Processing, ICIP, IEEE Computer Society, pp. 888-892, 25th IEEE International Conference on Image Processing, ICIP 2018, Athens, Greece, 7/10/18. https://doi.org/10.1109/ICIP.2018.8451727

Two view constraints on the epipoles from few correspondences. / Kasten, Yoni; Werman, Michael.
2018 IEEE International Conference on Image Processing, ICIP 2018 - Proceedings. IEEE Computer Society, 2018. p. 888-892 8451727 (Proceedings - International Conference on Image Processing, ICIP).

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

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Two view constraints on the epipoles from few correspondences

Abstract

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Bibliographical note

Keywords

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