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Activity Number: 378
Type: Topic Contributed
Date/Time: Tuesday, August 5, 2014 : 2:00 PM to 3:50 PM
Sponsor: Section on Statistics in Imaging
Abstract #311532
Title: Statistical Analysis of Parameterized Surfaces
Author(s): Qian Xie*+
Companies: Florida State University
Keywords: surface ; shape ; medical imaging ; statistical analysis ; graphics
Abstract:

Recent years have seen an explosion in new imaging technology, which in turn requires novel data analysis tools. A specific interest in imaging is shape analysis, a field that has seen significant growth in the last two decades. It is important in many different applications including medical imaging, graphics and biometrics. Many of these are especially concerned with capturing variability within and across shape classes and the main focus has been on statistical shape analysis in addition comparing shapes. This talk will describe a recent framework for statistical shape analysis of 3D objects represented by their boundaries, which form parameterized surfaces. The proposed method utilizes a convenient representation of surfaces called the square-root normal field (SRNF), which greatly simplifies parts of the implementation. We will describe the basic building blocks, including registration of surfaces (removal of parameterization variability), mathematically represented shape space, the Riemannian metric and numerical procedures for performing statistical analysis. We will illustrate the ideas using various toy examples and real data from medical imaging and graphics.


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