A 4D hyperspherical interpretation of q-space.

A. Pasha Hosseinbor, Moo K. Chung, Yu-Chien Wu, Andrew L. Alexander, Barbara B. Bendlin

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

3D q-space can be viewed as the surface of a 4D hypersphere. In this paper, we seek to develop a 4D hyperspherical interpretation of q-space by projecting it onto a hypersphere and subsequently modeling the q-space signal via 4D hyperspherical harmonics (HSH). Using this orthonormal basis, we analytically derive several quantitative indices and numerically estimate the diffusion ODF. Importantly, we derive the integral transform describing the relationship between the diffusion signal and propagator on a hypersphere. We also show that the HSH basis expends less fitting parameters than other well-established methods to achieve comparable signal and better ODF reconstructions. All in all, this work provides a new way of looking at q-space.

Original languageEnglish (US)
Pages (from-to)501-509
Number of pages9
JournalMedical image computing and computer-assisted intervention : MICCAI ... International Conference on Medical Image Computing and Computer-Assisted Intervention
Volume16
Issue numberPt 3
StatePublished - Dec 1 2013
Externally publishedYes

ASJC Scopus subject areas

  • Medicine(all)

Cite this

A 4D hyperspherical interpretation of q-space. / Hosseinbor, A. Pasha; Chung, Moo K.; Wu, Yu-Chien; Alexander, Andrew L.; Bendlin, Barbara B.

In: Medical image computing and computer-assisted intervention : MICCAI ... International Conference on Medical Image Computing and Computer-Assisted Intervention, Vol. 16, No. Pt 3, 01.12.2013, p. 501-509.

Research output: Contribution to journalArticle

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