The problems of integral geometry in a strip on a family of curves of hyperbolic and spherical type are considered which have numerous applications in problems of geophysics, thermoacoustic and photoacoustic tomography. Explicit formulas are obtained for the Fourier image of the solution of integral geometry problems in the class of smooth compactly supported functions. Further, the obtained formulas are investigated for stability using numerical methods. To solve the problems, algorithms are constructed. Numerical and graphical results of applying these algorithms to solving the problems are presented.
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Pirimbetov, Azamat; Uteuliev, N.; and Djaykov, G.
"MODELING THE PROBLEM OF INTEGRAL GEOMETRY ON A FAMILY OF HYPERBOLIC AND SPHERICAL CURVES,"
Karakalpak Scientific Journal: Vol. 3
, Article 7.
Available at: https://uzjournals.edu.uz/karsu/vol3/iss2/7