Optimized Algorithms in Numerical Calculation of the Radon Transform
A common task in digital image processing is image reconstruction. One of the most common methods used in image reconstruction is the inverse Radon transform. The Radon Transform is an integral transform, which consists of the integral of a function over straight lines in different angles. One of its most common uses is the CT, when they use some beams to scan the object from different directions, and then reconstruct the inner and outer structure of the object. In this paper we are going to apply discrete Radon and inverse Radon transform for grayscale images of dimensions 512 x 512. Later generalize the transform for 3-channel RGB images, by doing the radon transform channel by channel. In this paper we propose an algorithm to implement the Radon and Inverse Radon transform by using parallel beam (back)projections. Keywords - Radon Transform, Discrete Radon, Image Reconstruction, Sinogram, Laminogram, Inverse Radon Transform, Ramp Filter.