FBP Algorithm Implementation for CT Reconstruction

This implementation of the Filtered Back Projection (FBP) algorithm for CT reconstruction comprehensively examines how different projection quantities, detector numbers, and noise levels affect the quality of reconstructed images. The code includes configurable parameters for projection angles (typically 0:1:359 degrees), detector bin counts, and additive Gaussian noise simulation to assess reconstruction robustness. Additionally, researchers can investigate the effects of various filtering algorithms (e.g., Ram-Lak, Shepp-Logan, Cosine filters) and reconstruction parameters (e.g., interpolation methods, pixel size adjustment) to further enhance image quality. Key functions include radon transform simulation, filter kernel implementation, and back projection accumulation. The implementation also allows exploration of other factors influencing CT reconstruction quality, such as scanning time optimization and radiation dose modulation through exposure parameter controls. Through in-depth analysis of these variables, users can better understand and optimize the CT reconstruction process to achieve more accurate and clearer imaging results with reduced artifacts.