Розробка алгоритму задачі відновлення розривних функцій двох змінних без впливу явища Гіббса

Abstract

The work is devoted to the development of an algorithm for solving the problem of restoring discontinuous functions based on the method of finite Fourier sums without the influence of the Gibbs phenomenon. The finite sum Fourier method is used in combination with discontinuous splines. Projection data coming from a computer tomograph are considered known. The recoverable function is discontinuous with known discontinuity lines. Developed the algorithm for solving issue. Conducted numerical implementation of the method. Considered the test issues. The results were compared. The obtained results confirm the effectiveness of the method.