Spherical finite rate of innovation theory for the recovery of fiber orientations

In this paper, we investigate the reconstruction of a signal defined as the sum of orientations from samples taken with a kernel defined on the 3D rotation group. A potential application is the recovery of fiber orientations in diffusion magnetic resonance imaging. We propose an exact reconstruction...

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Main Authors: Deslauriers-Gauthier, Samuel, Marziliano, Pina
Other Authors: School of Electrical and Electronic Engineering
Format: Conference or Workshop Item
Language:English
Published: 2013
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Online Access:https://hdl.handle.net/10356/98713
http://hdl.handle.net/10220/12529
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Institution: Nanyang Technological University
Language: English
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spelling sg-ntu-dr.10356-987132020-03-07T13:24:48Z Spherical finite rate of innovation theory for the recovery of fiber orientations Deslauriers-Gauthier, Samuel Marziliano, Pina School of Electrical and Electronic Engineering Annual International Conference of the IEEE Engineering in Medicine and Biology Society (34th : 2012 : San Diego, USA) DRNTU::Engineering::Electrical and electronic engineering In this paper, we investigate the reconstruction of a signal defined as the sum of orientations from samples taken with a kernel defined on the 3D rotation group. A potential application is the recovery of fiber orientations in diffusion magnetic resonance imaging. We propose an exact reconstruction algorithm based on the finite rate of innovation theory that makes use of the spherical harmonics representation of the signal. The number of measurements needed for perfect recovery, which may be as low as, depends only on the number of orientations and the bandwidth of the kernel used. Furthermore, the angular resolution of our method does not depend on the number of available measurements. We illustrate the performance of the algorithm using several simulations. 2013-07-30T08:08:19Z 2019-12-06T19:58:45Z 2013-07-30T08:08:19Z 2019-12-06T19:58:45Z 2012 2012 Conference Paper https://hdl.handle.net/10356/98713 http://hdl.handle.net/10220/12529 10.1109/EMBC.2012.6346421 en
institution Nanyang Technological University
building NTU Library
country Singapore
collection DR-NTU
language English
topic DRNTU::Engineering::Electrical and electronic engineering
spellingShingle DRNTU::Engineering::Electrical and electronic engineering
Deslauriers-Gauthier, Samuel
Marziliano, Pina
Spherical finite rate of innovation theory for the recovery of fiber orientations
description In this paper, we investigate the reconstruction of a signal defined as the sum of orientations from samples taken with a kernel defined on the 3D rotation group. A potential application is the recovery of fiber orientations in diffusion magnetic resonance imaging. We propose an exact reconstruction algorithm based on the finite rate of innovation theory that makes use of the spherical harmonics representation of the signal. The number of measurements needed for perfect recovery, which may be as low as, depends only on the number of orientations and the bandwidth of the kernel used. Furthermore, the angular resolution of our method does not depend on the number of available measurements. We illustrate the performance of the algorithm using several simulations.
author2 School of Electrical and Electronic Engineering
author_facet School of Electrical and Electronic Engineering
Deslauriers-Gauthier, Samuel
Marziliano, Pina
format Conference or Workshop Item
author Deslauriers-Gauthier, Samuel
Marziliano, Pina
author_sort Deslauriers-Gauthier, Samuel
title Spherical finite rate of innovation theory for the recovery of fiber orientations
title_short Spherical finite rate of innovation theory for the recovery of fiber orientations
title_full Spherical finite rate of innovation theory for the recovery of fiber orientations
title_fullStr Spherical finite rate of innovation theory for the recovery of fiber orientations
title_full_unstemmed Spherical finite rate of innovation theory for the recovery of fiber orientations
title_sort spherical finite rate of innovation theory for the recovery of fiber orientations
publishDate 2013
url https://hdl.handle.net/10356/98713
http://hdl.handle.net/10220/12529
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