CT Image Reconstruction and Filtered Back Projection Algorithm Analysis

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Resource Overview

Implementation of CT image forward projection simulation and FBP algorithm back projection, with comparative analysis of reconstruction effects using Hamming, Hann, ramp, and cosine filters. Performance testing includes runtime evaluation and reconstruction quality assessment using normalized mean square distance, worst-case distance, and normalized absolute distance criteria.

Detailed Documentation

In this document, we have implemented CT image forward projection simulation and the back projection component of the Filtered Back Projection (FBP) algorithm. The implementation involves generating Radon transforms through ray-tracing techniques and reconstructing images using inverse Radon transform with various filtering approaches. We conducted comparative analysis of reconstruction results using Hamming, Hann, ramp, and cosine filters, evaluating both visual quality and computational performance through runtime measurements. For quantitative assessment of reconstruction quality, we employed three evaluation metrics: normalized mean square distance (measuring overall error), worst-case distance (capturing maximum local error), and normalized absolute distance (evaluating pixel-wise accuracy). These comprehensive tests provide detailed insights into both the quality and performance characteristics of different projection reconstruction methodologies.

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