Group action induced averaging for HARDI processing

H. Ertan Çetingül; Bijan Afsari; Margaret J. Wright; Paul M. Thompson; René Vidal

doi:10.1109/ISBI.2012.6235827

Group action induced averaging for HARDI processing

H. Ertan Çetingül, Bijan Afsari, Margaret J. Wright, Paul M. Thompson, René Vidal

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

14 Scopus citations

Abstract

We consider the problem of processing high angular resolution diffusion images described by orientation distribution functions (ODFs). Prior work showed that several processing operations, e.g., averaging, interpolation and filtering, can be reduced to averaging in the space of ODFs. However, this approach leads to anatomically erroneous results when the ODFs to be processed have very different orientations. To address this issue, we propose a group action induced distance for averaging ODFs, which leads to a novel processing framework on the spaces of orientation (the space of 3D rotations) and shape (the space of ODFs with the same orientation). Experiments demonstrate that our framework produces anatomically meaningful results.

Original language	English
Title of host publication	2012 9th IEEE International Symposium on Biomedical Imaging
Subtitle of host publication	From Nano to Macro, ISBI 2012 - Proceedings
Pages	1389-1392
Number of pages	4
DOIs	https://doi.org/10.1109/ISBI.2012.6235827
State	Published - 2012
Externally published	Yes
Event	2012 9th IEEE International Symposium on Biomedical Imaging: From Nano to Macro, ISBI 2012 - Barcelona, Spain Duration: 2 May 2012 → 5 May 2012

Publication series

Name	Proceedings - International Symposium on Biomedical Imaging
ISSN (Print)	1945-7928
ISSN (Electronic)	1945-8452

Conference

Conference	2012 9th IEEE International Symposium on Biomedical Imaging: From Nano to Macro, ISBI 2012
Country/Territory	Spain
City	Barcelona
Period	2/05/12 → 5/05/12

Keywords

Riemannian manifolds
biomedical image processing
diffusion magnetic resonance imaging
information geometry

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10.1109/ISBI.2012.6235827

Cite this

Çetingül, H. E., Afsari, B., Wright, M. J., Thompson, P. M., & Vidal, R. (2012). Group action induced averaging for HARDI processing. In 2012 9th IEEE International Symposium on Biomedical Imaging: From Nano to Macro, ISBI 2012 - Proceedings (pp. 1389-1392). Article 6235827 (Proceedings - International Symposium on Biomedical Imaging). https://doi.org/10.1109/ISBI.2012.6235827

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title = "Group action induced averaging for HARDI processing",

abstract = "We consider the problem of processing high angular resolution diffusion images described by orientation distribution functions (ODFs). Prior work showed that several processing operations, e.g., averaging, interpolation and filtering, can be reduced to averaging in the space of ODFs. However, this approach leads to anatomically erroneous results when the ODFs to be processed have very different orientations. To address this issue, we propose a group action induced distance for averaging ODFs, which leads to a novel processing framework on the spaces of orientation (the space of 3D rotations) and shape (the space of ODFs with the same orientation). Experiments demonstrate that our framework produces anatomically meaningful results.",

keywords = "Riemannian manifolds, biomedical image processing, diffusion magnetic resonance imaging, information geometry",

author = "{\c C}eting{\"u}l, {H. Ertan} and Bijan Afsari and Wright, {Margaret J.} and Thompson, {Paul M.} and Ren{\'e} Vidal",

year = "2012",

doi = "10.1109/ISBI.2012.6235827",

language = "English",

isbn = "9781457718588",

series = "Proceedings - International Symposium on Biomedical Imaging",

pages = "1389--1392",

booktitle = "2012 9th IEEE International Symposium on Biomedical Imaging",

note = "2012 9th IEEE International Symposium on Biomedical Imaging: From Nano to Macro, ISBI 2012 ; Conference date: 02-05-2012 Through 05-05-2012",

}

Çetingül, HE, Afsari, B, Wright, MJ, Thompson, PM & Vidal, R 2012, Group action induced averaging for HARDI processing. in 2012 9th IEEE International Symposium on Biomedical Imaging: From Nano to Macro, ISBI 2012 - Proceedings., 6235827, Proceedings - International Symposium on Biomedical Imaging, pp. 1389-1392, 2012 9th IEEE International Symposium on Biomedical Imaging: From Nano to Macro, ISBI 2012, Barcelona, Spain, 2/05/12. https://doi.org/10.1109/ISBI.2012.6235827

Group action induced averaging for HARDI processing. / Çetingül, H. Ertan; Afsari, Bijan; Wright, Margaret J. et al.
2012 9th IEEE International Symposium on Biomedical Imaging: From Nano to Macro, ISBI 2012 - Proceedings. 2012. p. 1389-1392 6235827 (Proceedings - International Symposium on Biomedical Imaging).

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

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AU - Afsari, Bijan

AU - Wright, Margaret J.

AU - Thompson, Paul M.

AU - Vidal, René

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AB - We consider the problem of processing high angular resolution diffusion images described by orientation distribution functions (ODFs). Prior work showed that several processing operations, e.g., averaging, interpolation and filtering, can be reduced to averaging in the space of ODFs. However, this approach leads to anatomically erroneous results when the ODFs to be processed have very different orientations. To address this issue, we propose a group action induced distance for averaging ODFs, which leads to a novel processing framework on the spaces of orientation (the space of 3D rotations) and shape (the space of ODFs with the same orientation). Experiments demonstrate that our framework produces anatomically meaningful results.

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KW - biomedical image processing

KW - diffusion magnetic resonance imaging

KW - information geometry

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T2 - 2012 9th IEEE International Symposium on Biomedical Imaging: From Nano to Macro, ISBI 2012

Y2 - 2 May 2012 through 5 May 2012

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Group action induced averaging for HARDI processing

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