Numerical solvers based on the method of approximate inverse for 2D vector and 2-tensor tomography problems

E. Yu Derevtsov, A. K. Louis, S. V. Maltseva, A. P. Polyakova, I. E. Svetov

Результат исследования: Научные публикации в периодических изданияхстатья

3 Цитирования (Scopus)

Аннотация

A problem of reconstruction of 2D vector or symmetric 2-tensor fields by their known ray transforms is considered. Two numerical approaches based on the method of approximate inverse are suggested for solving the problem. The first method allows to recover components of a vector or tensor field, and the second reconstructs its potentials in the sense of feature reconstruction, where the observation operator assigns to a field its potential. Numerical simulations show good results of reconstruction of the sought-for fields or their solenoidal or potential parts from its ray transforms.

Язык оригиналаанглийский
Номер статьи124001
Число страниц17
ЖурналInverse Problems
Том33
Номер выпуска12
DOI
СостояниеОпубликовано - 27 окт 2017

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