Tensorial spherical polar fourier diffusion mri with optimal dictionary learning

Jian Cheng, Dinggang Shen, Pew Thian Yap, Peter J. Basser

Research output: Chapter in Book/Report/Conference proceedingChapter

7 Citations (Scopus)

Abstract

High Angular Resolution Diffusion Imaging (HARDI) can characterize complex white matter micro-structure, avoiding the Gaussian diffusion assumption inherent in Diffusion Tensor Imaging (DTI). However, HARDI methods normally require significantly more signal measurements and a longer scan time than DTI, which limits its clinical utility. By considering sparsity of the diffusion signal, Compressed Sensing (CS) allows robust signal reconstruction from relatively fewer samples, reducing the scanning time. A good dictionary that sparsifies the signal is crucial for CS reconstruction. In this paper, we propose a novel method called Tensorial Spherical Polar Fourier Imaging (TSPFI) to recover continuous diffusion signal and diffusion propagator by representing the diffusion signal using an orthonormal TSPF basis. TSPFI is a generalization of the existing model-based method DTI and the model-free method SPFI. We also propose dictionary learning TSPFI (DL-TSPFI) to learn an even sparser dictionary represented as a linear combination of TSPF basis from continuous mixture of Gaussian signals. The learning process is efficiently performed in a small sub-space of SPF coefficients, and the learned dictionary is proved to be sparse for all mixture of Gaussian signals by adaptively setting the tensor in TSPF basis. Then the learned DL-TSPF dictionary is optimally and adaptively applied to different voxels using DTI and a weighted LASSO for CS reconstruction. DL-TSPFI is a generalization of DL-SPFI, by considering general adaptive tensor setting instead of a scale value. The experiments demonstrated that the learned DL-TSPF dictionary has a sparser representation and lower reconstruction Root-Mean-Squared-Error (RMSE) than both the original SPF basis and the DL-SPF dictionary.

Original languageEnglish
Title of host publicationLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
PublisherSpringer Verlag
Pages174-182
Number of pages9
Volume9349
DOIs
Publication statusPublished - 2015 Oct 1
Externally publishedYes

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume9349
ISSN (Print)03029743
ISSN (Electronic)16113349

Fingerprint

Glossaries
Diffusion tensor imaging
Imaging
Compressed sensing
Tensor
Imaging techniques
Compressed Sensing
High Angular Resolution
Tensors
Signal reconstruction
Dictionary
Learning
Signal Reconstruction
Sparse Representation
Orthonormal basis
Voxel
Propagator
Learning Process
Sparsity
Mean Squared Error

ASJC Scopus subject areas

  • Computer Science(all)
  • Theoretical Computer Science

Cite this

Cheng, J., Shen, D., Yap, P. T., & Basser, P. J. (2015). Tensorial spherical polar fourier diffusion mri with optimal dictionary learning. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 9349, pp. 174-182). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 9349). Springer Verlag. https://doi.org/10.1007/978-3-319-24553-9_22

Tensorial spherical polar fourier diffusion mri with optimal dictionary learning. / Cheng, Jian; Shen, Dinggang; Yap, Pew Thian; Basser, Peter J.

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Vol. 9349 Springer Verlag, 2015. p. 174-182 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 9349).

Research output: Chapter in Book/Report/Conference proceedingChapter

Cheng, J, Shen, D, Yap, PT & Basser, PJ 2015, Tensorial spherical polar fourier diffusion mri with optimal dictionary learning. in Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). vol. 9349, Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 9349, Springer Verlag, pp. 174-182. https://doi.org/10.1007/978-3-319-24553-9_22
Cheng J, Shen D, Yap PT, Basser PJ. Tensorial spherical polar fourier diffusion mri with optimal dictionary learning. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Vol. 9349. Springer Verlag. 2015. p. 174-182. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). https://doi.org/10.1007/978-3-319-24553-9_22
Cheng, Jian ; Shen, Dinggang ; Yap, Pew Thian ; Basser, Peter J. / Tensorial spherical polar fourier diffusion mri with optimal dictionary learning. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Vol. 9349 Springer Verlag, 2015. pp. 174-182 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).
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