@inproceedings{374963a740e5439aad69de18cedcd157,
title = "Camera Motion Correction with PGA",
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 {\textquoteleft}projective geometric algebra{\textquoteright} (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 Pl{\"u}cker 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.",
keywords = "PGA, attitude kinematics, camera motion correction, differential geometry, surveillance drones",
author = "Danail Brezov and Michael Werman",
note = "Publisher Copyright: {\textcopyright} 2024, The Author(s), under exclusive license to Springer Nature Switzerland AG.; 40th Computer Graphics International Conference, CGI 2023 ; Conference date: 28-08-2023 Through 01-09-2023",
year = "2023",
doi = "10.1007/978-3-031-50078-7\_28",
language = "الإنجليزيّة",
isbn = "9783031500770",
series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",
publisher = "Springer Science and Business Media Deutschland GmbH",
pages = "355--367",
editor = "Bin Sheng and Lei Bi and Jinman Kim and Nadia Magnenat-Thalmann and Daniel Thalmann",
booktitle = "Advances in Computer Graphics - 40th Computer Graphics International Conference, CGI 2023, Proceedings",
address = "ألمانيا",
}