FDK-Based Cone-Beam CT Full 3D Reconstruction Algorithm

This article presents a comprehensive implementation of the FDK-based cone-beam CT full 3D reconstruction algorithm using MATLAB. The algorithm represents an advanced image reconstruction technique that processes data acquired from cone-beam scanning systems and transforms it into three-dimensional images through computational methods. This technology finds extensive applications in medical imaging and industrial inspection fields. The article provides detailed explanations of the algorithm's fundamental principles, implementation methodology, and practical applications. When discussing the principles, I will elaborate on the cone-beam CT scanning process and how the FDK algorithm converts scan data into 3D volumetric images. The implementation section will detail the specific steps for coding the FDK-based cone-beam CT reconstruction algorithm in MATLAB, including key functions for data preprocessing, filter design, backprojection operations, and 3D volume generation. Finally, I will present real-world application cases in medical imaging and industrial inspection domains to help readers better understand the practical implementation of this technology. The MATLAB implementation includes optimized functions for handling projection data, implementing the ramp filter, and performing efficient 3D backprojection with proper weighting factors for accurate reconstruction results.