Shape Analysis with Overcomplete Spherical Wavelets

Abstract. In this paper, we explore the use of over-complete spherical wavelets in shape analysis of closed 2D surfaces. Previous work has demonstrated, theoretically and practically, the advantages of overcomplete over bi-orthogonal spherical wavelets. Here we present a detailed formulation of over-complete wavelets, as well as shape analysis experiments of cortical folding development using them. Our experiments verify in a quantitative fashion existing qualitative theories of neuroanatomical development. Furthermore, the experiments reveal novel insights into neuro-anatomical development not previously documented.

• Type: Conference
• Year: 2008
• Where: MICCAI
• Authors: B. T. Thomas Yeo, Peng Yu, P. Ellen Grant, Bruce Fischl, Polina Golland
• Keywords: Bi-orthogonal Spherical Wavelets, Cortical Folding Development, Medical Imaging, MICCAI 2008, Over-complete Spherical Wavelets