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Abstract Details

Activity Number: 64
Type: Topic Contributed
Date/Time: Sunday, July 29, 2012 : 4:00 PM to 5:50 PM
Sponsor: International Indian Statistical Association
Abstract - #305008
Title: Registration in Functional Data Analysis
Author(s): James Ramsay*+
Companies: McGill University
Address: 2748 Howe St., Ottawa, ON, K2B 6W9, Canada
Keywords: functional data analysis ; curve registration ; time warping ; image analysis
Abstract:

We often see in samples of curves that important features exhibit some variation in position, which we can call phase variation. Registration is the process of nonlinearly and smoothly deforming clock times so as to align these features with the objective of separately representing phase and amplitude variation. Registration can also be a critical step in the analysis of images, such as brain images, where the smooth diffeomorhpic transformations are of space. It will be shown that even a small amount of phase variation in functional data can seriously distort results from standard data analyses. A review of various methods, such as landmark and continuous registration, is offered in this talk as an introduction to the new developments that will follow in this session.


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