RED: Residual Estimation Diffusion for Low-Dose PET Sinogram Reconstruction

TL;DR

This paper introduces RED, a novel diffusion model that uses residual estimation to improve low-dose PET sinogram reconstruction, effectively preserving original data and enhancing image quality.

Contribution

RED replaces Gaussian noise with residuals in diffusion, improving low-dose PET image reconstruction by maintaining data integrity and reducing artifacts.

Findings

RED outperforms traditional diffusion models in quality metrics

Residual-based diffusion enhances data preservation in low-dose PET

The method improves stability and reliability of reconstructions

Abstract

Recent advances in diffusion models have demonstrated exceptional performance in generative tasks across vari-ous fields. In positron emission tomography (PET), the reduction in tracer dose leads to information loss in sino-grams. Using diffusion models to reconstruct missing in-formation can improve imaging quality. Traditional diffu-sion models effectively use Gaussian noise for image re-constructions. However, in low-dose PET reconstruction, Gaussian noise can worsen the already sparse data by introducing artifacts and inconsistencies. To address this issue, we propose a diffusion model named residual esti-mation diffusion (RED). From the perspective of diffusion mechanism, RED uses the residual between sinograms to replace Gaussian noise in diffusion process, respectively sets the low-dose and full-dose sinograms as the starting point and endpoint of reconstruction. This mechanism helps preserve the original information in the low-dose sinogram, thereby enhancing reconstruction reliability. From the perspective of data consistency, RED introduces a drift correction strategy to reduce accumulated prediction errors during the reverse process. Calibrating the inter-mediate results of reverse iterations helps maintain the data consistency and enhances the stability of reconstruc-tion process. Experimental results show that RED effec-tively improves the quality of low-dose sinograms as well as the reconstruction results. The code is available at: https://github.com/yqx7150/RED.