title: Cortical Folding Development Study based on Over-Complete Spherical Wavelets.
abstract: We introduce the use of over-complete spherical wavelets for shape analysis of 2D closed surfaces. Bi-orthogonal spherical wavelets have been shown to be powerful tools in the segmentation and shape analysis of 2D closed surfaces, but unfortunately they suffer from aliasing problems and are therefore not invariant under rotations of the underlying surface parameterization. In this paper, we demonstrate the theoretical advantage of over-complete wavelets over bi-orthogonal wavelets and illustrate their utility on both synthetic and real data. In particular, we show that over-complete spherical wavelets allow us to build more stable cortical folding development models, and detect a wider array of regions of folding development in a newborn dataset.
authors.affiliation: Health Sciences and Technology, MIT, Cambridge, MA, 02139.
authors.forename: Peng
authors.initials: P
authors.lastname: Yu
authors.affiliation: CSAIL, MIT, Cambridge, MA, 02139.
authors.forename: Boon Thye Thomas
authors.initials: BT
authors.lastname: Yeo
authors.affiliation: Athinoula A. Martinos Center for Biomedical Imaging, MGH/MIT/HMS, Charlestown, MA, 02129 ; Pediatric Radiology, Massachusetts General Hospital, Boston, MA, 02114.
authors.forename: P Ellen
authors.initials: PE
authors.lastname: Grant
authors.affiliation: Health Sciences and Technology, MIT, Cambridge, MA, 02139 ; CSAIL, MIT, Cambridge, MA, 02139 ; Athinoula A. Martinos Center for Biomedical Imaging, MGH/MIT/HMS, Charlestown, MA, 02129.
authors.forename: Bruce
authors.initials: B
authors.lastname: Fischl
authors.affiliation: CSAIL, MIT, Cambridge, MA, 02139.
authors.forename: Polina
authors.initials: P
authors.lastname: Golland