Digital homeomorphisms in deformable registration

Pierre Louis Bazin; Lotta Maria Ellingsen; Dzung L. Pham

doi:10.1007/978-3-540-73273-0_18

Digital homeomorphisms in deformable registration

Pierre Louis Bazin, Lotta Maria Ellingsen, Dzung L. Pham

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

33 Scopus citations

Abstract

A common goal in deformable registration applications is to produce a spatial transformation that is diffeomorphic, thereby preserving the topology of structures being transformed. Because this constraint is typically enforced only on the continuum, however, topological changes can still occur within discretely sampled images. This work discusses the notion of homeomorphisms in digital images, and how it differs from the diffeomorphic/homeomorphic concepts in continuous spaces commonly used in medical imaging. We review the differences and problems brought by considering functions defined on a discrete grid, and propose a practical criterion for enforcing digital homeomorphisms in the context of atlas-based segmentation.

Original language	English (US)
Title of host publication	Information Processing in Medical lmaging - 20th International Conference, IPMI 2007, Proceedings
Publisher	Springer Verlag
Pages	211-222
Number of pages	12
ISBN (Print)	3540732721, 9783540732723
DOIs	https://doi.org/10.1007/978-3-540-73273-0_18
State	Published - 2007
Externally published	Yes
Event	20th International Conference on Information Processing in Medical lmaging, IPMI 2007 - Kerkrade, Netherlands Duration: Jul 2 2007 → Jul 6 2007

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	4584 LNCS
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Other

Other	20th International Conference on Information Processing in Medical lmaging, IPMI 2007
Country/Territory	Netherlands
City	Kerkrade
Period	7/2/07 → 7/6/07

ASJC Scopus subject areas

Theoretical Computer Science
General Computer Science

Access to Document

10.1007/978-3-540-73273-0_18

Cite this

Bazin, P. L., Ellingsen, L. M., & Pham, D. L. (2007). Digital homeomorphisms in deformable registration. In Information Processing in Medical lmaging - 20th International Conference, IPMI 2007, Proceedings (pp. 211-222). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 4584 LNCS). Springer Verlag. https://doi.org/10.1007/978-3-540-73273-0_18

Digital homeomorphisms in deformable registration. / Bazin, Pierre Louis; Ellingsen, Lotta Maria; Pham, Dzung L.
Information Processing in Medical lmaging - 20th International Conference, IPMI 2007, Proceedings. Springer Verlag, 2007. p. 211-222 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 4584 LNCS).

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

Bazin, PL, Ellingsen, LM & Pham, DL 2007, Digital homeomorphisms in deformable registration. in Information Processing in Medical lmaging - 20th International Conference, IPMI 2007, Proceedings. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 4584 LNCS, Springer Verlag, pp. 211-222, 20th International Conference on Information Processing in Medical lmaging, IPMI 2007, Kerkrade, Netherlands, 7/2/07. https://doi.org/10.1007/978-3-540-73273-0_18

Bazin PL, Ellingsen LM, Pham DL. Digital homeomorphisms in deformable registration. In Information Processing in Medical lmaging - 20th International Conference, IPMI 2007, Proceedings. Springer Verlag. 2007. p. 211-222. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). doi: 10.1007/978-3-540-73273-0_18

Bazin, Pierre Louis ; Ellingsen, Lotta Maria ; Pham, Dzung L. / Digital homeomorphisms in deformable registration. Information Processing in Medical lmaging - 20th International Conference, IPMI 2007, Proceedings. Springer Verlag, 2007. pp. 211-222 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

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Digital homeomorphisms in deformable registration

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