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Function reconstruction from noisy local averages
Journal article   Peer reviewed

Function reconstruction from noisy local averages

Yu Chen, Jianguo Huang and Weimin Han
Inverse problems, Vol.24(2), 25003
04/01/2008
DOI: 10.1088/0266-5611/24/2/025003

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Abstract

A regularization method is proposed for the function reconstruction from noisy local averages in any dimension. Error bounds for the approximate solution in L2-norm are derived. A number of numerical examples are provided to show computational performance of the method, with the regularization parameters selected by different strategies.

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