Abstract #300262

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JSM 2003 Abstract #300262
Activity Number: 307
Type: Invited
Date/Time: Wednesday, August 6, 2003 : 8:30 AM to 10:20 AM
Sponsor: IMS
Abstract - #300262
Title: Shape and Shape Variability in Image Analysis
Author(s): John T. Kent*+
Companies: University of Leeds
Address: Dept. of Statistics, Leeds LS2 9JT, , , England
Keywords: shape ; landmarks ; deformations ; splines
Abstract:

A commnon method of obtaining geometric information about objects is by taking images. Image modalities in two and three dimensions include photographs, X-rays, CT, MRI, and laser scans. In the simplest representation, an object is summarized by a set of landmarks (identified from the image), and changes in shape correspond to the relative movement of the landmarks. From this point of view, shape analysis becomes a variant of multivariate analysis. A richer representation regards the object as a solid body and changes in shape are represented by deformations of the underlying space. From this point of view, shape analysis is closely related to functional data analysis. In this talk links between the landmark and deformation approaches will be explored and some recent developments in the analysis of deformations will be reviewed. Applications include cross-sectional and longitudinal (growth) studies of shape.

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Revised March 2003