О получении аналитических выражений для образов $B$-сплайнов при преобразовании Радона и их использовании в задачах скалярной томографии

In this paper we propose an algorithm to obtain analytical formulas for Radon transform images of $B$-splines of order n. Application of these formulas in solving of scalar tomography problem significantly reduced the time of computations in the implementation of the method of least squares.