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Activity Number: 225
Type: Topic Contributed
Date/Time: Monday, August 5, 2013 : 2:00 PM to 3:50 PM
Sponsor: Section on Statistical Learning and Data Mining
Abstract - #308126
Title: Problems in Approximating and Estimating Mean Shapes of Planar Contours
Author(s): Leif Ellingson*+ and Chalani Prematilake
Companies: Texas Tech University and Texas Tech University
Keywords: Shape Analysis ; Discretization ; Estimation ; Planar curves

This talk is concerned with problems involved in the similarity shape analysis of planar contours. Contours in this context may be thought of as the ranges of simple closed curves. While contours are by their very nature infinite-dimensional, in order for computations to be performed with digital images, discretization is unavoidable and results in some amount of approximation error. A number of automatic discretization and registration methods are presented to explore the relationship between dimensionality and approximation error. To do so, these methods are applied to estimation of mean shape and classification.

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