A new mathematical appoach using the inverse Radon equation for restoration of images in problems of linear two-dimensional x-ray tomography is formulated. In this approach, Fourier transformation is not used, and it gives the chance to create the practical computing algorithms having more reliable mathematical substantiation. Results of software implementation show that for especially for low number of projections, the described approach performs better than standard X-ray tomographic reconstruction algorithms.
- Radon's inversion equation
- tomographic reconstruction
- X-ray tomography
ASJC Scopus subject areas
- Radiology Nuclear Medicine and imaging
- Condensed Matter Physics
- Electrical and Electronic Engineering