Automatic detection of version of the approximate deconvolution, determined by a regularization method on beforehand to the set relative discrepancy

   

I. M. Frantsevich Institute for Problems of Materials Science of the NAS of Ukraine, Omeliana Pritsaka str.,3, Kyiv, 03142, Ukraine
Mathematical Models and Computing Experiment in Material Science - Kiev: Frantsevich Institute for Problems of Materials Science NASU, 2015, #17
http://www.materials.kiev.ua/article/1485

Abstract

The technique of automatic detection of version of the approximate deconvolution, required with application of the Tikhonov method of regularization is offered. Theoretical justification of the offered technique is presented, is demonstrated its application on the example of restoration of a diffraction maximum. The numerical value discrepancy recommended for application at allocation of a physical profile of X-ray picture is offered and proved. Advantages of the offered method over traditional are given.


AUTOMATIC CHOICE OF THE SOLUTION, DECONVOLUTION, THE TIKHONOV REGULYARIZATION METHOD