Diffusion Maps Clustering for Magnetic Resonance Q-Ball Imaging Segmentation

White matter fiber clustering aims to get insight about anatomical structures in order to generate atlases, perform clear visualizations, and compute statistics across subjects, all important and current neuroimaging problems. In this work, we present a diffusion maps clustering method applied to di...

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Main Authors: Demian Wassermann, Maxime Descoteaux, Rachid Deriche
Format: Article
Language:English
Published: Wiley 2008-01-01
Series:International Journal of Biomedical Imaging
Online Access:http://dx.doi.org/10.1155/2008/526906
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author Demian Wassermann
Maxime Descoteaux
Rachid Deriche
author_facet Demian Wassermann
Maxime Descoteaux
Rachid Deriche
author_sort Demian Wassermann
collection DOAJ
description White matter fiber clustering aims to get insight about anatomical structures in order to generate atlases, perform clear visualizations, and compute statistics across subjects, all important and current neuroimaging problems. In this work, we present a diffusion maps clustering method applied to diffusion MRI in order to segment complex white matter fiber bundles. It is well known that diffusion tensor imaging (DTI) is restricted in complex fiber regions with crossings and this is why recent high-angular resolution diffusion imaging (HARDI) such as Q-Ball imaging (QBI) has been introduced to overcome these limitations. QBI reconstructs the diffusion orientation distribution function (ODF), a spherical function that has its maxima agreeing with the underlying fiber populations. In this paper, we use a spherical harmonic ODF representation as input to the diffusion maps clustering method. We first show the advantage of using diffusion maps clustering over classical methods such as N-Cuts and Laplacian eigenmaps. In particular, our ODF diffusion maps requires a smaller number of hypothesis from the input data, reduces the number of artifacts in the segmentation, and automatically exhibits the number of clusters segmenting the Q-Ball image by using an adaptive scale-space parameter. We also show that our ODF diffusion maps clustering can reproduce published results using the diffusion tensor (DT) clustering with N-Cuts on simple synthetic images without crossings. On more complex data with crossings, we show that our ODF-based method succeeds to separate fiber bundles and crossing regions whereas the DT-based methods generate artifacts and exhibit wrong number of clusters. Finally, we show results on a real-brain dataset where we segment well-known fiber bundles.
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spelling doaj-art-d3517c7edadd43579ad8e79077c77c4c2025-02-03T01:25:34ZengWileyInternational Journal of Biomedical Imaging1687-41881687-41962008-01-01200810.1155/2008/526906526906Diffusion Maps Clustering for Magnetic Resonance Q-Ball Imaging SegmentationDemian Wassermann0Maxime Descoteaux1Rachid Deriche2Odyssee Project Team INRIA/ENPC/ENS INRIA, Sophia-Antipolis, 2004 Route des Lucioles, Sophia Antipolis 06902, FranceOdyssee Project Team INRIA/ENPC/ENS INRIA, Sophia-Antipolis, 2004 Route des Lucioles, Sophia Antipolis 06902, FranceOdyssee Project Team INRIA/ENPC/ENS INRIA, Sophia-Antipolis, 2004 Route des Lucioles, Sophia Antipolis 06902, FranceWhite matter fiber clustering aims to get insight about anatomical structures in order to generate atlases, perform clear visualizations, and compute statistics across subjects, all important and current neuroimaging problems. In this work, we present a diffusion maps clustering method applied to diffusion MRI in order to segment complex white matter fiber bundles. It is well known that diffusion tensor imaging (DTI) is restricted in complex fiber regions with crossings and this is why recent high-angular resolution diffusion imaging (HARDI) such as Q-Ball imaging (QBI) has been introduced to overcome these limitations. QBI reconstructs the diffusion orientation distribution function (ODF), a spherical function that has its maxima agreeing with the underlying fiber populations. In this paper, we use a spherical harmonic ODF representation as input to the diffusion maps clustering method. We first show the advantage of using diffusion maps clustering over classical methods such as N-Cuts and Laplacian eigenmaps. In particular, our ODF diffusion maps requires a smaller number of hypothesis from the input data, reduces the number of artifacts in the segmentation, and automatically exhibits the number of clusters segmenting the Q-Ball image by using an adaptive scale-space parameter. We also show that our ODF diffusion maps clustering can reproduce published results using the diffusion tensor (DT) clustering with N-Cuts on simple synthetic images without crossings. On more complex data with crossings, we show that our ODF-based method succeeds to separate fiber bundles and crossing regions whereas the DT-based methods generate artifacts and exhibit wrong number of clusters. Finally, we show results on a real-brain dataset where we segment well-known fiber bundles.http://dx.doi.org/10.1155/2008/526906
spellingShingle Demian Wassermann
Maxime Descoteaux
Rachid Deriche
Diffusion Maps Clustering for Magnetic Resonance Q-Ball Imaging Segmentation
International Journal of Biomedical Imaging
title Diffusion Maps Clustering for Magnetic Resonance Q-Ball Imaging Segmentation
title_full Diffusion Maps Clustering for Magnetic Resonance Q-Ball Imaging Segmentation
title_fullStr Diffusion Maps Clustering for Magnetic Resonance Q-Ball Imaging Segmentation
title_full_unstemmed Diffusion Maps Clustering for Magnetic Resonance Q-Ball Imaging Segmentation
title_short Diffusion Maps Clustering for Magnetic Resonance Q-Ball Imaging Segmentation
title_sort diffusion maps clustering for magnetic resonance q ball imaging segmentation
url http://dx.doi.org/10.1155/2008/526906
work_keys_str_mv AT demianwassermann diffusionmapsclusteringformagneticresonanceqballimagingsegmentation
AT maximedescoteaux diffusionmapsclusteringformagneticresonanceqballimagingsegmentation
AT rachidderiche diffusionmapsclusteringformagneticresonanceqballimagingsegmentation