用于多源静态计算机断层扫描重建的双域协作扩散采样

Zirong Li;Dingyue Chang;Zhenxi Zhang;Fulin Luo;Qiegen Liu;Jianjia Zhang;Guang Yang;Weiwen Wu
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摘要

多源固定 CT(探测器和 X 射线源都是固定的)是一种具有高时间分辨率的新型成像系统,已引起广泛关注。系统内有限的空间限制了 X 射线源的数量,从而给稀疏视图 CT 成像带来了挑战。最近用于重建稀疏视图 CT 的扩散模型一般都分别侧重于矢量图域或图像域。以正弦图为中心的模型能有效估计缺失的投影,但可能会引入伪影,缺乏确保图像正确性的机制。相反,图像域模型虽然能捕捉到详细的图像特征,但往往难以应对复杂的数据分布,导致投影不准确。为了解决这些问题,双域协作扩散采样(DCDS)模型整合了正弦图和图像域扩散过程,以增强稀疏视图重建。该模型在优化的数学框架中结合了两个域的优势。协作扩散机制是这一模型的基础,可提高正弦图恢复和图像生成能力。这种机制有利于从正弦图域生成反馈驱动的图像,并利用图像域的结果来完成缺失的投影。通过替代方向迭代法进一步实现了 DCDS 模型的优化,重点是数据一致性更新。广泛的测试(包括数值模拟、真实模型和临床心脏数据集)证明了 DCDS 模型的有效性。它的性能始终优于各种最先进的基准,可提供卓越的重建质量和精确的正弦曲线。
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Dual-Domain Collaborative Diffusion Sampling for Multi-Source Stationary Computed Tomography Reconstruction
The multi-source stationary CT, where both the detector and X-ray source are fixed, represents a novel imaging system with high temporal resolution that has garnered significant interest. Limited space within the system restricts the number of X-ray sources, leading to sparse-view CT imaging challenges. Recent diffusion models for reconstructing sparse-view CT have generally focused separately on sinogram or image domains. Sinogram-centric models effectively estimate missing projections but may introduce artifacts, lacking mechanisms to ensure image correctness. Conversely, image-domain models, while capturing detailed image features, often struggle with complex data distribution, leading to inaccuracies in projections. Addressing these issues, the Dual-domain Collaborative Diffusion Sampling (DCDS) model integrates sinogram and image domain diffusion processes for enhanced sparse-view reconstruction. This model combines the strengths of both domains in an optimized mathematical framework. A collaborative diffusion mechanism underpins this model, improving sinogram recovery and image generative capabilities. This mechanism facilitates feedback-driven image generation from the sinogram domain and uses image domain results to complete missing projections. Optimization of the DCDS model is further achieved through the alternative direction iteration method, focusing on data consistency updates. Extensive testing, including numerical simulations, real phantoms, and clinical cardiac datasets, demonstrates the DCDS model’s effectiveness. It consistently outperforms various state-of-the-art benchmarks, delivering exceptional reconstruction quality and precise sinogram.
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