ODF reconstruction in Q-ball imaging with solid angle consideration

Iman Aganj, Christophe Lenglet, Guillermo Sapiro

Research output: Chapter in Book/Report/Conference proceedingConference contribution

39 Citations (Scopus)

Abstract

Q-ball imaging (QBI) is a high angular resolution diffusion imaging (HARDI) technique which has been proven very successful in resolving multiple intravoxel fiber orientations in MR images. The standard computation of the orientation distribution function (ODF, the probability of diffusion in a given direction) from q-ball uses linear radial projection, neglecting the change in the volume element along the ray, thereby resulting in distributions different from the true ODFs. For instance, they are not normalized or as sharp as expected, and generally require post-processing, such as sharpening or spherical deconvolution. In this paper, we consider the mathematically correct definition of the ODF and derive a closed-form expression for it in QBI. The derived ODF is dimensionless and normalized, and can be efficiently computed from q-ball acquisition protocols. We describe our proposed method and demonstrate its significantly improved performance on artificial data and real HARDI volumes.

Original languageEnglish (US)
Title of host publicationProceedings - 2009 IEEE International Symposium on Biomedical Imaging
Subtitle of host publicationFrom Nano to Macro, ISBI 2009
Pages1398-1401
Number of pages4
DOIs
StatePublished - Nov 17 2009
Event2009 IEEE International Symposium on Biomedical Imaging: From Nano to Macro, ISBI 2009 - Boston, MA, United States
Duration: Jun 28 2009Jul 1 2009

Other

Other2009 IEEE International Symposium on Biomedical Imaging: From Nano to Macro, ISBI 2009
CountryUnited States
CityBoston, MA
Period6/28/097/1/09

Fingerprint

Imaging techniques
Deconvolution
Fiber reinforced materials
Distribution functions
Processing
Direction compound

Keywords

  • High angular resolution diffusion imaging (HARDI)
  • Magnetic resonance imaging (MRI)
  • Orientation distribution function (ODF)
  • Qball imaging (QBI)
  • Solid angle

Cite this

Aganj, I., Lenglet, C., & Sapiro, G. (2009). ODF reconstruction in Q-ball imaging with solid angle consideration. In Proceedings - 2009 IEEE International Symposium on Biomedical Imaging: From Nano to Macro, ISBI 2009 (pp. 1398-1401). [5193327] https://doi.org/10.1109/ISBI.2009.5193327

ODF reconstruction in Q-ball imaging with solid angle consideration. / Aganj, Iman; Lenglet, Christophe; Sapiro, Guillermo.

Proceedings - 2009 IEEE International Symposium on Biomedical Imaging: From Nano to Macro, ISBI 2009. 2009. p. 1398-1401 5193327.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Aganj, I, Lenglet, C & Sapiro, G 2009, ODF reconstruction in Q-ball imaging with solid angle consideration. in Proceedings - 2009 IEEE International Symposium on Biomedical Imaging: From Nano to Macro, ISBI 2009., 5193327, pp. 1398-1401, 2009 IEEE International Symposium on Biomedical Imaging: From Nano to Macro, ISBI 2009, Boston, MA, United States, 6/28/09. https://doi.org/10.1109/ISBI.2009.5193327
Aganj I, Lenglet C, Sapiro G. ODF reconstruction in Q-ball imaging with solid angle consideration. In Proceedings - 2009 IEEE International Symposium on Biomedical Imaging: From Nano to Macro, ISBI 2009. 2009. p. 1398-1401. 5193327 https://doi.org/10.1109/ISBI.2009.5193327
Aganj, Iman ; Lenglet, Christophe ; Sapiro, Guillermo. / ODF reconstruction in Q-ball imaging with solid angle consideration. Proceedings - 2009 IEEE International Symposium on Biomedical Imaging: From Nano to Macro, ISBI 2009. 2009. pp. 1398-1401
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