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Activity Number: 195
Type: Contributed
Date/Time: Monday, August 5, 2013 : 10:30 AM to 12:20 PM
Sponsor: Section on Statistics and the Environment
Abstract - #310096
Title: Smooth Change-Point Estimation for Spatial Image Intensity Profiles
Author(s): Joseph Usset*+
Companies: North Carolina State University
Keywords: Spline Smoothing ; Change Point Estimation

Better tracking of glacial systems might help identify their relationships with climate change, and improve our ability to monitor changes in water supply. Many studies have made use of 2-D multispectral satellite images to investigate single glaciers of interest, but to broadly catalog changes worldwide, a robust and automated methodology is needed. The method we propose is to extract 1-D image profiles from the 2-D images, along inlets of the glaciers, where recession might be noticeable. Within each profile lies a single glacier terminus - a change point. To find them, we perform spline smoothing on each profile and focus on inflection points. The challenge is that many inflection points occur in each profile, and most are noise. But we have sampled these 1-D profiles over time. This has allowed us to find a penalization criterion that integrates information across time points, and estimate glacial recession as a smooth path of change points. We demonstrate the effectiveness of our method by application to image data collected on the Franz Josef, Gorner, Rhone, and Nigardsbreen glaciers.

Authors who are presenting talks have a * after their name.

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