Camera Motion Correction with PGA

Danail Brezov; Michael Werman

doi:10.1007/978-3-031-50078-7_28

Camera Motion Correction with PGA

Danail Brezov^*, Michael Werman

^*Corresponding author for this work

The Rachel and Selim Benin School of Engineering and Computer Science

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

Abstract

In this paper we study the geometry and kinematics of stabilizing a moving camera in order to track a stationary scene both in the 2D and 3D setting. This is being done initially in a rather straightforward manner, using the tools of analytic and differential geometry, after which we discuss the advantages of the so-called ‘projective geometric algebra’ (PGA) approach in this context. In the planar case one can easily get equivalent results with complex numbers, but in 3D it is a convenient substitute for Plücker line geometry and the theory of screws. While a lot can be done using quaternions and differential geometry, PGA is quite handy when there are different rotation or screw axes involved. Its basic constructions and properties are briefly summarized in the appendix.

Original language	English
Title of host publication	Advances in Computer Graphics - 40th Computer Graphics International Conference, CGI 2023, Proceedings
Editors	Bin Sheng, Lei Bi, Jinman Kim, Nadia Magnenat-Thalmann, Daniel Thalmann
Publisher	Springer Science and Business Media Deutschland GmbH
Pages	355-367
Number of pages	13
ISBN (Print)	9783031500770
DOIs	https://doi.org/10.1007/978-3-031-50078-7_28
State	Published - 2023
Event	40th Computer Graphics International Conference, CGI 2023 - Shanghai, China Duration: 28 Aug 2023 → 1 Sep 2023

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	14498 LNCS
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Conference

Conference	40th Computer Graphics International Conference, CGI 2023
Country/Territory	China
City	Shanghai
Period	28/08/23 → 1/09/23

Bibliographical note

Publisher Copyright:
© 2024, The Author(s), under exclusive license to Springer Nature Switzerland AG.

Keywords

PGA
attitude kinematics
camera motion correction
differential geometry
surveillance drones

Access to Document

10.1007/978-3-031-50078-7_28

Cite this

Brezov, D., & Werman, M. (2023). Camera Motion Correction with PGA. In B. Sheng, L. Bi, J. Kim, N. Magnenat-Thalmann, & D. Thalmann (Eds.), Advances in Computer Graphics - 40th Computer Graphics International Conference, CGI 2023, Proceedings (pp. 355-367). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 14498 LNCS). Springer Science and Business Media Deutschland GmbH. https://doi.org/10.1007/978-3-031-50078-7_28

Brezov, Danail ; Werman, Michael. / Camera Motion Correction with PGA. Advances in Computer Graphics - 40th Computer Graphics International Conference, CGI 2023, Proceedings. editor / Bin Sheng ; Lei Bi ; Jinman Kim ; Nadia Magnenat-Thalmann ; Daniel Thalmann. Springer Science and Business Media Deutschland GmbH, 2023. pp. 355-367 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

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Brezov, D & Werman, M 2023, Camera Motion Correction with PGA. in B Sheng, L Bi, J Kim, N Magnenat-Thalmann & D Thalmann (eds), Advances in Computer Graphics - 40th Computer Graphics International Conference, CGI 2023, Proceedings. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 14498 LNCS, Springer Science and Business Media Deutschland GmbH, pp. 355-367, 40th Computer Graphics International Conference, CGI 2023, Shanghai, China, 28/08/23. https://doi.org/10.1007/978-3-031-50078-7_28

Camera Motion Correction with PGA. / Brezov, Danail; Werman, Michael.
Advances in Computer Graphics - 40th Computer Graphics International Conference, CGI 2023, Proceedings. ed. / Bin Sheng; Lei Bi; Jinman Kim; Nadia Magnenat-Thalmann; Daniel Thalmann. Springer Science and Business Media Deutschland GmbH, 2023. p. 355-367 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 14498 LNCS).

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

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Brezov D, Werman M. Camera Motion Correction with PGA. In Sheng B, Bi L, Kim J, Magnenat-Thalmann N, Thalmann D, editors, Advances in Computer Graphics - 40th Computer Graphics International Conference, CGI 2023, Proceedings. Springer Science and Business Media Deutschland GmbH. 2023. p. 355-367. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). doi: 10.1007/978-3-031-50078-7_28