Deconvolution Method Using B-Splines

Zdeněk Kopecký

doi:10.1109/jsen.2026.3695305

Deconvolution Method Using B-Splines

2026-05-27

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DOI：10.1109/jsen.2026.3695305

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In this article, we present a new algorithm to solve a deconvolution problem, which is mathematically described by the Fredholm integral equation of the first kind. This problem has to be solved in many ways. The solution of this problem with experimental data is ill-conditioned and therefore difficult to solve numerically. It was assumed that the measured data have a Poisson distribution. The maximum likelihood method was used for the solution, and the function sought was assumed to be a spline represented in a B-spline basis. The algorithm was tested using known data, and it was found that the errors are smaller than those of the usually used methods. The results of the developed algorithm for the deconvolution of the neutron spectroscopy measurement with organic scintillators are presented.

Keywords:

B-splines

deconvolution

scintillator

Deconvolution Method Using B-Splines

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