Linear and Regularized Solutions for Multiple Motions

Ingo Stuke; Til Aach; Cicero Mota; Erhardt Barth

doi:10.1109/ICASSP.2003.1199131

Linear and Regularized Solutions for Multiple Motions

Ingo Stuke, Til Aach, Cicero Mota, Erhardt Barth

Johann Wolfgang Goethe-University

Abstract

We extend a novel framework for the estimation of multiple transparent motions to include regularization. We use mixed-motion parameters to obtain linear Euler-Lagrange equations with a regularization term. The equations are solved iteratively for the mixed-motion parameters based on an update rule that is similar to the case of only one motion. The motion parameters are then obtained as the roots of a complex polynomial of a degree that is equal to the number of overlaid motions. An experimental error analysis is performed and reported.

Original language	English
Title of host publication	2003 IEEE International Conference on Acoustics, Speech, and Signal Processing, 2003. Proceedings. (ICASSP '03).
Number of pages	4
Volume	3
Publisher	IEEE
Publication date	25.09.2003
Pages	157-160
ISBN (Print)	0-7803-7663-3
DOIs	https://doi.org/10.1109/ICASSP.2003.1199131
Publication status	Published - 25.09.2003
Event	2003 IEEE International Conference on Accoustics, Speech, and Signal Processing - Hong Kong, Hong Kong Duration: 06.04.2003 → 10.04.2003 Conference number: 61468

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

Access to Document

10.1109/ICASSP.2003.1199131

Cite this

Stuke, I., Aach, T., Mota, C., & Barth, E. (2003). Linear and Regularized Solutions for Multiple Motions. In 2003 IEEE International Conference on Acoustics, Speech, and Signal Processing, 2003. Proceedings. (ICASSP '03). (Vol. 3, pp. 157-160). (ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings; Vol. 3). IEEE. https://doi.org/10.1109/ICASSP.2003.1199131

@inproceedings{9f567ad185664aa897d2da60a8ee3635,

title = "Linear and Regularized Solutions for Multiple Motions",

abstract = "We extend a novel framework for the estimation of multiple transparent motions to include regularization. We use mixed-motion parameters to obtain linear Euler-Lagrange equations with a regularization term. The equations are solved iteratively for the mixed-motion parameters based on an update rule that is similar to the case of only one motion. The motion parameters are then obtained as the roots of a complex polynomial of a degree that is equal to the number of overlaid motions. An experimental error analysis is performed and reported.",

author = "Ingo Stuke and Til Aach and Cicero Mota and Erhardt Barth",

year = "2003",

month = sep,

day = "25",

doi = "10.1109/ICASSP.2003.1199131",

language = "English",

isbn = "0-7803-7663-3",

volume = "3",

series = "ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings",

publisher = "IEEE",

pages = "157--160",

booktitle = "2003 IEEE International Conference on Acoustics, Speech, and Signal Processing, 2003. Proceedings. (ICASSP '03).",

note = "2003 IEEE International Conference on Accoustics, Speech, and Signal Processing ; Conference date: 06-04-2003 Through 10-04-2003",

}

Stuke, I, Aach, T, Mota, C & Barth, E 2003, Linear and Regularized Solutions for Multiple Motions. in 2003 IEEE International Conference on Acoustics, Speech, and Signal Processing, 2003. Proceedings. (ICASSP '03).. vol. 3, ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings, vol. 3, IEEE, pp. 157-160, 2003 IEEE International Conference on Accoustics, Speech, and Signal Processing , Hong Kong, Hong Kong, 06.04.03. https://doi.org/10.1109/ICASSP.2003.1199131

Linear and Regularized Solutions for Multiple Motions. / Stuke, Ingo; Aach, Til; Mota, Cicero et al.
2003 IEEE International Conference on Acoustics, Speech, and Signal Processing, 2003. Proceedings. (ICASSP '03).. Vol. 3 IEEE, 2003. p. 157-160 (ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings; Vol. 3).

Research output: Chapters in Books/Reports/Conference Proceedings › Conference contribution › peer-review

TY - GEN

T1 - Linear and Regularized Solutions for Multiple Motions

AU - Stuke, Ingo

AU - Aach, Til

AU - Mota, Cicero

AU - Barth, Erhardt

N1 - Conference code: 61468

PY - 2003/9/25

Y1 - 2003/9/25

N2 - We extend a novel framework for the estimation of multiple transparent motions to include regularization. We use mixed-motion parameters to obtain linear Euler-Lagrange equations with a regularization term. The equations are solved iteratively for the mixed-motion parameters based on an update rule that is similar to the case of only one motion. The motion parameters are then obtained as the roots of a complex polynomial of a degree that is equal to the number of overlaid motions. An experimental error analysis is performed and reported.

AB - We extend a novel framework for the estimation of multiple transparent motions to include regularization. We use mixed-motion parameters to obtain linear Euler-Lagrange equations with a regularization term. The equations are solved iteratively for the mixed-motion parameters based on an update rule that is similar to the case of only one motion. The motion parameters are then obtained as the roots of a complex polynomial of a degree that is equal to the number of overlaid motions. An experimental error analysis is performed and reported.

UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-0141788390&origin=inward&txGid=7a55f4d2107c58de23e17f52fd2edb3b

U2 - 10.1109/ICASSP.2003.1199131

DO - 10.1109/ICASSP.2003.1199131

M3 - Conference contribution

SN - 0-7803-7663-3

VL - 3

T3 - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings

SP - 157

EP - 160

BT - 2003 IEEE International Conference on Acoustics, Speech, and Signal Processing, 2003. Proceedings. (ICASSP '03).

PB - IEEE

T2 - 2003 IEEE International Conference on Accoustics, Speech, and Signal Processing

Y2 - 6 April 2003 through 10 April 2003

ER -

Linear and Regularized Solutions for Multiple Motions

Abstract

UN SDGs

Access to Document

Other files and links

Fingerprint

Cite this