ODF maxima extraction in spherical harmonic representation via analytical search space reduction

Journal Article

By revealing complex fiber structure through the orientation distribution function (ODF), q-ball imaging has recently become a popular reconstruction technique in diffusion-weighted MRI. In this paper, we propose an analytical dimension reduction approach to ODF maxima extraction. We show that by expressing the ODF, or any antipodally symmetric spherical function, in the common fourth order real and symmetric spherical harmonic basis, the maxima of the two-dimensional ODF lie on an analytically derived one-dimensional space, from which we can detect the ODF maxima. This method reduces the computational complexity of the maxima detection, without compromising the accuracy. We demonstrate the performance of our technique on both artificial and human brain data. © 2010 Springer-Verlag.

Full Text

Duke Authors

Cited Authors

  • Aganj, I; Lenglet, C; Sapiro, G

Published Date

  • 2010

Published In

Volume / Issue

  • 6362 LNCS / PART 2

Start / End Page

  • 84 - 91

International Standard Serial Number (ISSN)

  • 0302-9743

Digital Object Identifier (DOI)

  • 10.1007/978-3-642-15745-5_11