Abstract #300248

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JSM 2002 Abstract #300248
Activity Number: 58
Type: Invited
Date/Time: Monday, August 12, 2002 : 8:30 AM to 10:20 AM
Sponsor: Section on Statistical Computing*
Abstract - #300248
Title: Structural Adaptation Methods in Imaging
Author(s): Joerg Polzehl*+ and Vladimir Spokoiny
Affiliation(s): Weierstrass Institute for Applied Analysis and Stochastics and Weierstrass Institute for Applied Analysis and Stochastics
Address: Mohrenstr. 39, D-10117, Berlin, , D-10117, Germany
Keywords: structural assumptions ; functional MRI ; adaptive smoothing ; image reconstruction ; signal detection
Abstract:

Images are often characterized by their discontinuities and homogeneous regions. Polzehl and Spokoiny (2000, JRSS B) propose a iterative nonlinear smoothing procedure that allows for adaptation with respect to the structural assumption of an local constant image. The method is based on locally constant smoothing with an adaptive choice of weights for every pair of data-points. Generalizations of the approach allow for local polynomial structures and general loss function. Applications include denoising of satellite (SAR) images as well as structuring of seismic geological data. The same idea has been successfully applied to construct a spatially adaptive procedure for signal detection in functional magnetic resonance imaging (Polzehl and Spokoiny (2001, JRSS C).

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