A proposal of Fourier-Bessel expansion with optimized ensembles of bases to analyse two dimensional image

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Abstract

It is a critical issue to find the best set of fitting function bases in mode structural analysis of two dimensional images like plasma emission profiles. The paper proposes a method to optimize a set of the bases in the case of Fourier-Bessel function series, using their orthonormal property, for more efficient and precise analysis. The method is applied on a tomography image of plasma emission obtained with the Maximum-likelihood expectation maximization method in a linear cylindrical device. The result demonstrates the excellency of the method that realizes the smaller residual error and minimum Akaike information criterion using smaller number of fitting function bases.

Original languageEnglish
Article number093507
JournalReview of Scientific Instruments
Volume88
Issue number9
DOIs
Publication statusPublished - Sep 1 2017

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All Science Journal Classification (ASJC) codes

  • Instrumentation

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