Fast Computation of Mutual Information in a Variational Image Registration Approach

Stefan Heldmann; Oliver Mahnke; Daniel Potts; Jan Modersitzki; Bernd Fischer

doi:10.1007/978-3-642-18536-6_92

Fast Computation of Mutual Information in a Variational Image Registration Approach

Stefan Heldmann, Oliver Mahnke, Daniel Potts, Jan Modersitzki, Bernd Fischer

Institut für Mathematik

Abstract

In this paper we present a novel method for computing the Mutual Information of images using recently developed non-equidistant fast Fourier-transform (NFFT) techniques. Standard approaches suffer from the problem that some sort of quantization is needed in order to apply a fast equidistant FFT-technique. For the new method no quantization is necessary which on one hand leads to an improved registration accuracy and on the other hand to a straight forward implementation. The evaluation is done for MR brain registration as well as for synthetic examples.

Originalsprache	Englisch
Titel	Bildverarbeitung für die Medizin 2004
Redakteure/-innen	Thomas Tolxdorff, Jürgen Braun, Heinz Handels, Alexander Horsch, Hans-Peter Meinzer
Seitenumfang	5
Erscheinungsort	Berlin, Heidelberg
Herausgeber (Verlag)	Springer Berlin Heidelberg
Erscheinungsdatum	01.03.2004
Seiten	448-452
ISBN (Print)	978-3-540-21059-7
ISBN (elektronisch)	978-3-642-18536-6
DOIs	https://doi.org/10.1007/978-3-642-18536-6_92
Publikationsstatus	Veröffentlicht - 01.03.2004
Veranstaltung	Workshop on Bildverarbeitung fur die Medizin 2004 - Berlin, Deutschland Dauer: 29.03.2004 → 30.03.2004

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10.1007/978-3-642-18536-6_92

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Heldmann, S., Mahnke, O., Potts, D., Modersitzki, J., & Fischer, B. (2004). Fast Computation of Mutual Information in a Variational Image Registration Approach. in T. Tolxdorff, J. Braun, H. Handels, A. Horsch, & H-P. Meinzer (Hrsg.), Bildverarbeitung für die Medizin 2004 (S. 448-452). ( Informatik aktuell). Springer Berlin Heidelberg. https://doi.org/10.1007/978-3-642-18536-6_92

Heldmann, Stefan ; Mahnke, Oliver ; Potts, Daniel et al. / Fast Computation of Mutual Information in a Variational Image Registration Approach. Bildverarbeitung für die Medizin 2004. Hrsg. / Thomas Tolxdorff ; Jürgen Braun ; Heinz Handels ; Alexander Horsch ; Hans-Peter Meinzer. Berlin, Heidelberg : Springer Berlin Heidelberg, 2004. S. 448-452 ( Informatik aktuell).

@inproceedings{da9926e4ce594432a2ac9539be169d3f,

title = "Fast Computation of Mutual Information in a Variational Image Registration Approach",

abstract = "In this paper we present a novel method for computing the Mutual Information of images using recently developed non-equidistant fast Fourier-transform (NFFT) techniques. Standard approaches suffer from the problem that some sort of quantization is needed in order to apply a fast equidistant FFT-technique. For the new method no quantization is necessary which on one hand leads to an improved registration accuracy and on the other hand to a straight forward implementation. The evaluation is done for MR brain registration as well as for synthetic examples.",

author = "Stefan Heldmann and Oliver Mahnke and Daniel Potts and Jan Modersitzki and Bernd Fischer",

year = "2004",

month = mar,

day = "1",

doi = "10.1007/978-3-642-18536-6_92",

language = "English",

isbn = "978-3-540-21059-7",

series = " Informatik aktuell",

publisher = "Springer Berlin Heidelberg",

pages = "448--452",

editor = "Thomas Tolxdorff and J{\"u}rgen Braun and Heinz Handels and Alexander Horsch and Hans-Peter Meinzer",

booktitle = "Bildverarbeitung f{\"u}r die Medizin 2004",

note = "Workshop on Bildverarbeitung fur die Medizin 2004, BVM 2004 ; Conference date: 29-03-2004 Through 30-03-2004",

}

Heldmann, S, Mahnke, O, Potts, D, Modersitzki, J & Fischer, B 2004, Fast Computation of Mutual Information in a Variational Image Registration Approach. in T Tolxdorff, J Braun, H Handels, A Horsch & H-P Meinzer (Hrsg.), Bildverarbeitung für die Medizin 2004. Informatik aktuell, Springer Berlin Heidelberg, Berlin, Heidelberg, S. 448-452, Workshop on Bildverarbeitung fur die Medizin 2004, Berlin, Berlin, Deutschland, 29.03.04. https://doi.org/10.1007/978-3-642-18536-6_92

Fast Computation of Mutual Information in a Variational Image Registration Approach. / Heldmann, Stefan; Mahnke, Oliver; Potts, Daniel et al.
Bildverarbeitung für die Medizin 2004. Hrsg. / Thomas Tolxdorff; Jürgen Braun; Heinz Handels; Alexander Horsch; Hans-Peter Meinzer. Berlin, Heidelberg: Springer Berlin Heidelberg, 2004. S. 448-452 ( Informatik aktuell).

Publikation: Kapitel in Büchern/Berichten/Konferenzbänden › Konferenzbeitrag › Begutachtung

TY - GEN

T1 - Fast Computation of Mutual Information in a Variational Image Registration Approach

AU - Heldmann, Stefan

AU - Mahnke, Oliver

AU - Potts, Daniel

AU - Modersitzki, Jan

AU - Fischer, Bernd

PY - 2004/3/1

Y1 - 2004/3/1

N2 - In this paper we present a novel method for computing the Mutual Information of images using recently developed non-equidistant fast Fourier-transform (NFFT) techniques. Standard approaches suffer from the problem that some sort of quantization is needed in order to apply a fast equidistant FFT-technique. For the new method no quantization is necessary which on one hand leads to an improved registration accuracy and on the other hand to a straight forward implementation. The evaluation is done for MR brain registration as well as for synthetic examples.

AB - In this paper we present a novel method for computing the Mutual Information of images using recently developed non-equidistant fast Fourier-transform (NFFT) techniques. Standard approaches suffer from the problem that some sort of quantization is needed in order to apply a fast equidistant FFT-technique. For the new method no quantization is necessary which on one hand leads to an improved registration accuracy and on the other hand to a straight forward implementation. The evaluation is done for MR brain registration as well as for synthetic examples.

U2 - 10.1007/978-3-642-18536-6_92

DO - 10.1007/978-3-642-18536-6_92

M3 - Conference contribution

SN - 978-3-540-21059-7

T3 - Informatik aktuell

SP - 448

EP - 452

BT - Bildverarbeitung für die Medizin 2004

A2 - Tolxdorff, Thomas

A2 - Braun, Jürgen

A2 - Handels, Heinz

A2 - Horsch, Alexander

A2 - Meinzer, Hans-Peter

PB - Springer Berlin Heidelberg

CY - Berlin, Heidelberg

T2 - Workshop on Bildverarbeitung fur die Medizin 2004

Y2 - 29 March 2004 through 30 March 2004

ER -

Heldmann S, Mahnke O, Potts D, Modersitzki J, Fischer B. Fast Computation of Mutual Information in a Variational Image Registration Approach. in Tolxdorff T, Braun J, Handels H, Horsch A, Meinzer H-P, Hrsg., Bildverarbeitung für die Medizin 2004. Berlin, Heidelberg: Springer Berlin Heidelberg. 2004. S. 448-452. ( Informatik aktuell). doi: 10.1007/978-3-642-18536-6_92

Fast Computation of Mutual Information in a Variational Image Registration Approach

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