Radon Transform in Mathematics

The Radon Transform is a mathematical technique that takes a two- or three-dimensional object and records the totals of its values along straight lines passing through it. Imagine shining X-rays through an object from different angles; the measurements you get are the line integrals. This transform is fundamental in medical imaging, like CT scans, because it allows reconstruction of an image’s internal structure from multiple projections. Essentially, it converts complex spatial data into a collection of line sums, enabling mathematical algorithms to later reconstruct the original shape or density distribution of the object.