Department of Mathematics
 Search | Help | Login | pdf version | printable version

Math @ Duke



Publications [#264869] of Guillermo Sapiro

Papers Published

  1. Aganj, I; Lenglet, C; Sapiro, G, ODF maxima extraction in spherical harmonic representation via analytical search space reduction., Med Image Comput Comput Assist Interv, vol. 13 no. Pt 2 (2010), pp. 84-91 [20879302]
    (last updated on 2018/02/25)

    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.
ph: 919.660.2800
fax: 919.660.2821

Mathematics Department
Duke University, Box 90320
Durham, NC 27708-0320