A Duality Based Algorithm for TV-L1-Optical-Flow Image Registration

Thomas Pock; Martin Urschler; Christopher Zach; Reinhard Beichel; Horst Bischof

doi:10.1007/978-3-540-75759-7_62

A Duality Based Algorithm for TV-L1-Optical-Flow Image Registration

Thomas Pock^*, Martin Urschler, Christopher Zach, Reinhard Beichel, Horst Bischof

^*Corresponding author for this work

Institute of Computer Graphics and Vision (7100)

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

Abstract

Nonlinear image registration is a challenging task in the field of medical image analysis. In many applications discontinuities may be present in the displacement field, and intensity variations may occur. In this work we therefore utilize an energy functional which is based on Total Variation regularization and a robust data term. We propose a novel, fast and stable numerical scheme to find the minimizer of this energy. Our approach combines a fixed-point procedure derived from duality principles combined with a fast thresholding step. We show experimental results on synthetic and clinical CT lung data sets at different breathing states as well as registration results on inter-subject brain MRIs.

Original language	English
Title of host publication	Medical Image Computing and Computer-Assisted Intervention – MICCAI 2007
Subtitle of host publication	10th International Conference, Brisbane, Australia, October 29 - November 2, 2007, Proceedings, Part II
Editors	Nicholas Ayache, Sébastien Ourselin, Anthony Maeder
Place of Publication	Berlin Heidelberg
Publisher	Springer
Pages	511-518
Number of pages	8
Volume	4792 LNCS
Edition	PART 2
ISBN (Electronic)	978-3-540-75759-7
ISBN (Print)	978-3-540-75758-0
DOIs	https://doi.org/10.1007/978-3-540-75759-7_62
Publication status	Published - 2007
Event	10th International Conference on Medical Imaging and Computer-Assisted Intervention: MICCAI 2007 - Brisbane, Australia Duration: 29 Oct 2007 → 2 Nov 2007

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Number	PART 2
Volume	4792 LNCS
ISSN (Print)	03029743
ISSN (Electronic)	16113349

Conference

Conference	10th International Conference on Medical Imaging and Computer-Assisted Intervention
Country/Territory	Australia
City	Brisbane
Period	29/10/07 → 2/11/07

Fields of Expertise

Information, Communication & Computing

Access to Document

10.1007/978-3-540-75759-7_62

Cite this

Pock, T., Urschler, M., Zach, C., Beichel, R., & Bischof, H. (2007). A Duality Based Algorithm for TV-L1-Optical-Flow Image Registration. In N. Ayache, S. Ourselin, & A. Maeder (Eds.), Medical Image Computing and Computer-Assisted Intervention – MICCAI 2007: 10th International Conference, Brisbane, Australia, October 29 - November 2, 2007, Proceedings, Part II (PART 2 ed., Vol. 4792 LNCS, pp. 511-518). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 4792 LNCS, No. PART 2). Springer. https://doi.org/10.1007/978-3-540-75759-7_62

A Duality Based Algorithm for TV-L1-Optical-Flow Image Registration. / Pock, Thomas; Urschler, Martin; Zach, Christopher et al.
Medical Image Computing and Computer-Assisted Intervention – MICCAI 2007: 10th International Conference, Brisbane, Australia, October 29 - November 2, 2007, Proceedings, Part II. ed. / Nicholas Ayache; Sébastien Ourselin; Anthony Maeder. Vol. 4792 LNCS PART 2. ed. Berlin Heidelberg: Springer, 2007. p. 511-518 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 4792 LNCS, No. PART 2).

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

Pock, T, Urschler, M, Zach, C, Beichel, R & Bischof, H 2007, A Duality Based Algorithm for TV-L1-Optical-Flow Image Registration. in N Ayache, S Ourselin & A Maeder (eds), Medical Image Computing and Computer-Assisted Intervention – MICCAI 2007: 10th International Conference, Brisbane, Australia, October 29 - November 2, 2007, Proceedings, Part II. PART 2 edn, vol. 4792 LNCS, Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), no. PART 2, vol. 4792 LNCS, Springer, Berlin Heidelberg, pp. 511-518, 10th International Conference on Medical Imaging and Computer-Assisted Intervention, Brisbane, Australia, 29/10/07. https://doi.org/10.1007/978-3-540-75759-7_62

Pock T, Urschler M, Zach C, Beichel R, Bischof H. A Duality Based Algorithm for TV-L1-Optical-Flow Image Registration. In Ayache N, Ourselin S, Maeder A, editors, Medical Image Computing and Computer-Assisted Intervention – MICCAI 2007: 10th International Conference, Brisbane, Australia, October 29 - November 2, 2007, Proceedings, Part II. PART 2 ed. Vol. 4792 LNCS. Berlin Heidelberg: Springer. 2007. p. 511-518. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); PART 2). doi: 10.1007/978-3-540-75759-7_62

Pock, Thomas ; Urschler, Martin ; Zach, Christopher et al. / A Duality Based Algorithm for TV-L1-Optical-Flow Image Registration. Medical Image Computing and Computer-Assisted Intervention – MICCAI 2007: 10th International Conference, Brisbane, Australia, October 29 - November 2, 2007, Proceedings, Part II. editor / Nicholas Ayache ; Sébastien Ourselin ; Anthony Maeder. Vol. 4792 LNCS PART 2. ed. Berlin Heidelberg : Springer, 2007. pp. 511-518 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); PART 2).

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abstract = "Nonlinear image registration is a challenging task in the field of medical image analysis. In many applications discontinuities may be present in the displacement field, and intensity variations may occur. In this work we therefore utilize an energy functional which is based on Total Variation regularization and a robust data term. We propose a novel, fast and stable numerical scheme to find the minimizer of this energy. Our approach combines a fixed-point procedure derived from duality principles combined with a fast thresholding step. We show experimental results on synthetic and clinical CT lung data sets at different breathing states as well as registration results on inter-subject brain MRIs.",

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A Duality Based Algorithm for TV-L1-Optical-Flow Image Registration

Abstract

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VM-GPU - Variational Methods on the GPU for Industrial Problems

FWF - virt Leberoperation - Virtual Liver Surgery Planning using CT and SPECT Data

Cite this

A Duality Based Algorithm for TV-L1-Optical-Flow Image Registration

Abstract

Publication series

Conference

Fields of Expertise

Access to Document

Other files and links

Fingerprint

Projects

VM-GPU - Variational Methods on the GPU for Industrial Problems

FWF - virt Leberoperation - Virtual Liver Surgery Planning using CT and SPECT Data

Cite this