MATLAB-based Fan-Beam Filtered Back Projection Reconstruction Algorithm

The MATLAB-based fan-beam filtered back projection reconstruction algorithm is a sophisticated method for 3D reconstruction in medical imaging applications. This technique combines fan-beam geometry with filtering and back projection operations to effectively restore original image details and anatomical structures. In our MATLAB implementation, key functions like radon() and iradon() are utilized for projection data processing, while custom filtering operations are applied to reduce artifacts and enhance image quality. The algorithm workflow involves acquiring fan-beam projection data, applying frequency-domain filters (such as Ram-Lak or Shepp-Logan filters), and performing filtered back projection to reconstruct cross-sectional images. Through this implementation, we achieve more accurate and clearer 3D reconstructions, providing valuable support for medical diagnosis and research applications. The MATLAB code typically includes data preprocessing steps, filter design implementations, and iterative reconstruction loops to optimize computational efficiency.