The graph windowed Fourier transform: a tool to quantify the gyrification of the cerebral cortex

Hamed Rabiei (1, 2, 3) , Frédéric Richard (2) , Muriel Roth (1) , Jean-Luc Anton (1) , Olivier Coulon (1, 3) , Julien Lefèvre (3, 1)

1 INT - Institut de Neurosciences de la Timone
2 I2M - Institut de Mathématiques de Marseille
3 LSIS - Laboratoire des Sciences de l'Information et des Systèmes

The Gyrification Index (GI) quantifies the amount of folding of a cortical surface. In this paper, we show the efficiency of spectral analysis to perform such a task, and in particular we explain how the graph windowed Fourier transform can be used as a tool to define new GIs with multiscale properties. We propose two different GIs and study their effect on a set of subjects whose cortical surfaces are modeled with triangular meshes.

Mots clés: gyrification index; spectral analysis; windowed Fourier transform; Laplace-Beltrami operator; computational anatomy

Domaines: Imagerie médicale; Traitement des images [eess.IV]

Hamed Rabiei, Frédéric Richard, Muriel Roth, Jean-Luc Anton, Olivier Coulon, et al.. The graph windowed Fourier transform: a tool to quantify the gyrification of the cerebral cortex. Workshop on Spectral Analysis in Medical Imaging (SAMI), Hervé Lombaert, Martin Reuter, Christian Wachinger, Oct 2015, Münich, Germany. ⟨hal-01224184⟩