Abstract: Studies of shape, degree of folding and variability ofthe surface of the brain can be found as early as 1967.Measuring shape and degree of folding from radiologicalimages is, however, a relatively recent development.Our objective is to develop a framework for the studyof the shape and geometric properties of the brainsurface from radiological images for the purposes ofstudying abnormalities of cortical folding. Theconstruction of an explicit surface model allows thecalculation of local measures of intrinsic curvatureand folding, and provides a means of studyingconnectivity and shape variation. To speed up thesecalculations, we have developed a surfacesimplification method for discrete data representingsurfaces derived from MR images. This methodfacilitates the calculation of these measures ofinterest while preserving the essential features of thesurface in high curvature regions.!16
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