Common Self-polar Triangle of Concentric Conics for Light Field Camera Calibration

Qi Zhang; Qing Wang

doi:10.1007/978-3-030-20876-9_2

Common Self-polar Triangle of Concentric Conics for Light Field Camera Calibration

Qi Zhang
, Qing Wang

School of Computer Science

Northwestern Polytechnical University Xian

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

2 Scopus citations

Abstract

Accurate light field camera calibration plays an important role in various applications. Instead of a planar checkerboard, we propose to calibrate light field camera using a concentric conics pattern. In this paper, we explore the property and reconstruction of common self-polar triangle with respect to concentric circle and ellipse. A light field projection model is formulated to compute out an effective linear initial solution for both intrinsic and extrinsic parameters. In addition, a 4-parameter radial distortion model is presented considering different view points in light field. Finally, we establish a cost function based on Sampson error for non-linear optimization. Experimental results on both synthetic data and real light field have verified the effectiveness and robustness of the proposed algorithm.

Original language	English
Title of host publication	Computer Vision – ACCV 2018 - 14th Asian Conference on Computer Vision, Revised Selected Papers
Editors	Greg Mori, C.V. Jawahar, Konrad Schindler, Hongdong Li
Publisher	Springer Verlag
Pages	18-33
Number of pages	16
ISBN (Print)	9783030208752
DOIs	https://doi.org/10.1007/978-3-030-20876-9_2
State	Published - 2019
Event	14th Asian Conference on Computer Vision, ACCV 2018 - Perth, Australia Duration: 2 Dec 2018 → 6 Dec 2018

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	11366 LNCS
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Conference

Conference	14th Asian Conference on Computer Vision, ACCV 2018
Country/Territory	Australia
City	Perth
Period	2/12/18 → 6/12/18

Keywords

Common self-polar triangle
Computational photography and video
Light field camera calibration

Access to Document

10.1007/978-3-030-20876-9_2

Cite this

Zhang, Q., & Wang, Q. (2019). Common Self-polar Triangle of Concentric Conics for Light Field Camera Calibration. In G. Mori, C. V. Jawahar, K. Schindler, & H. Li (Eds.), Computer Vision – ACCV 2018 - 14th Asian Conference on Computer Vision, Revised Selected Papers (pp. 18-33). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 11366 LNCS). Springer Verlag. https://doi.org/10.1007/978-3-030-20876-9_2

Zhang, Qi ; Wang, Qing. / Common Self-polar Triangle of Concentric Conics for Light Field Camera Calibration. Computer Vision – ACCV 2018 - 14th Asian Conference on Computer Vision, Revised Selected Papers. editor / Greg Mori ; C.V. Jawahar ; Konrad Schindler ; Hongdong Li. Springer Verlag, 2019. pp. 18-33 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

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title = "Common Self-polar Triangle of Concentric Conics for Light Field Camera Calibration",

abstract = "Accurate light field camera calibration plays an important role in various applications. Instead of a planar checkerboard, we propose to calibrate light field camera using a concentric conics pattern. In this paper, we explore the property and reconstruction of common self-polar triangle with respect to concentric circle and ellipse. A light field projection model is formulated to compute out an effective linear initial solution for both intrinsic and extrinsic parameters. In addition, a 4-parameter radial distortion model is presented considering different view points in light field. Finally, we establish a cost function based on Sampson error for non-linear optimization. Experimental results on both synthetic data and real light field have verified the effectiveness and robustness of the proposed algorithm.",

keywords = "Common self-polar triangle, Computational photography and video, Light field camera calibration",

author = "Qi Zhang and Qing Wang",

note = "Publisher Copyright: {\textcopyright} 2019, Springer Nature Switzerland AG.; 14th Asian Conference on Computer Vision, ACCV 2018 ; Conference date: 02-12-2018 Through 06-12-2018",

year = "2019",

doi = "10.1007/978-3-030-20876-9\_2",

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

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Zhang, Q & Wang, Q 2019, Common Self-polar Triangle of Concentric Conics for Light Field Camera Calibration. in G Mori, CV Jawahar, K Schindler & H Li (eds), Computer Vision – ACCV 2018 - 14th Asian Conference on Computer Vision, Revised Selected Papers. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 11366 LNCS, Springer Verlag, pp. 18-33, 14th Asian Conference on Computer Vision, ACCV 2018, Perth, Australia, 2/12/18. https://doi.org/10.1007/978-3-030-20876-9_2

Common Self-polar Triangle of Concentric Conics for Light Field Camera Calibration. / Zhang, Qi; Wang, Qing.
Computer Vision – ACCV 2018 - 14th Asian Conference on Computer Vision, Revised Selected Papers. ed. / Greg Mori; C.V. Jawahar; Konrad Schindler; Hongdong Li. Springer Verlag, 2019. p. 18-33 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 11366 LNCS).

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

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AU - Wang, Qing

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N2 - Accurate light field camera calibration plays an important role in various applications. Instead of a planar checkerboard, we propose to calibrate light field camera using a concentric conics pattern. In this paper, we explore the property and reconstruction of common self-polar triangle with respect to concentric circle and ellipse. A light field projection model is formulated to compute out an effective linear initial solution for both intrinsic and extrinsic parameters. In addition, a 4-parameter radial distortion model is presented considering different view points in light field. Finally, we establish a cost function based on Sampson error for non-linear optimization. Experimental results on both synthetic data and real light field have verified the effectiveness and robustness of the proposed algorithm.

AB - Accurate light field camera calibration plays an important role in various applications. Instead of a planar checkerboard, we propose to calibrate light field camera using a concentric conics pattern. In this paper, we explore the property and reconstruction of common self-polar triangle with respect to concentric circle and ellipse. A light field projection model is formulated to compute out an effective linear initial solution for both intrinsic and extrinsic parameters. In addition, a 4-parameter radial distortion model is presented considering different view points in light field. Finally, we establish a cost function based on Sampson error for non-linear optimization. Experimental results on both synthetic data and real light field have verified the effectiveness and robustness of the proposed algorithm.

KW - Common self-polar triangle

KW - Computational photography and video

KW - Light field camera calibration

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Zhang Q, Wang Q. Common Self-polar Triangle of Concentric Conics for Light Field Camera Calibration. In Mori G, Jawahar CV, Schindler K, Li H, editors, Computer Vision – ACCV 2018 - 14th Asian Conference on Computer Vision, Revised Selected Papers. Springer Verlag. 2019. p. 18-33. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). doi: 10.1007/978-3-030-20876-9_2

Common Self-polar Triangle of Concentric Conics for Light Field Camera Calibration

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