Image Reconstruction Using MATLAB: Implementation of Fan-Beam Filtered Backprojection Algorithm

In this article, we demonstrate how to implement image reconstruction using MATLAB programming. Specifically, we focus on the fan-beam filtered backprojection method for image reconstruction. This advanced technique enables the recovery of lost image information, allowing for clearer observation and analysis of images. The implementation involves several key MATLAB functions: we utilize fanbeam to generate projection data from the original image, apply filtering operations using functions like ramp or hamming filters to reduce noise and artifacts, and finally employ ifanbeam for the backprojection reconstruction process. Through this method, we can achieve more accurate and detailed image reconstruction results, providing valuable information for research and analysis purposes. The algorithm works by first acquiring fan-beam projections at various angles, then applying a ramp filter in the frequency domain to enhance high-frequency components, and finally backprojecting the filtered data to reconstruct the original image. Therefore, using MATLAB for image reconstruction proves to be an efficient and reliable approach, particularly when implementing sophisticated algorithms like fan-beam filtered backprojection.