Open AccessRESTORATION OF THE INNER STYRUCTURE OF AN OBJECT FROM INTEGRAL DATA ON CONES
Author(s) -
A. Kh. Begmatov
Publication year - 2019
Publication title -
interèkspo geo-sibirʹ
Language(s) - English
Resource type - Journals
ISSN - 2618-981X
DOI - 10.33764/2618-981x-2019-2-3-116-121
Subject(s) - cone (formal languages) , inversion (geology) , object (grammar) , mathematics , stability (learning theory) , mathematical analysis , geometry , computer science , geology , algorithm , artificial intelligence , seismology , machine learning , tectonics
We consider the problem of determining the internal structure of the three-dimensional object from integral data obtained by tomografic scanning using a cone scheme over a family of right circular cones. Stability estimates are proven and inversion formula is obtained.