arXiv:2607.06132cs.LGcs.AI2026-07中稿 · MICCAI 2026

用物理约束的隐式编码,让少数据下脑部化学交换成像更准更快。

Self-Supervised Implicit CEST Reconstruction via Physics-Informed Lorentz Encoding

  • 用洛伦兹谱形建模稀疏采样数据,引入物理先验约束重建过程。
  • 39点采样下峰值信噪比达57.58分贝,结构相似性高达0.9994。
  • 重建结果连续且符合代谢物定量需求,适合临床高精度代谢成像。

多池化化学交换饱和转移(CEST)MRI可提供重要代谢信息,但受限于扫描时间长。虽稀疏采样可缩短时间,但从有限数据重建高分辨率Z谱仍是病态逆问题。传统插值与通用隐式神经表示(INRs)常缺乏物理约束,导致谱图伪影和非物理解。为此,我们提出洛伦兹编码(LE),一种基于物理信息的自监督重建框架,通过隐式连续坐标学习实现重构。不同于通用位置编码,LE将稀疏坐标投影至由可学习基函数构成的参数化洛伦兹谱形空间,有效抑制噪声并保证物理一致性。在人体活体脑数据上的实验表明,LE显著优于现有方法:在39点采样策略下,达到57.58 dB的PSNR与0.9994的SSIM。此外,学习到的物理感知编码在潜在空间中形成连续几何有序轨迹,确保了准确的定量代谢物映射(APT、NOE、MT)。

原文摘要 · Abstract (English)

Multi-Pool Chemical Exchange Saturation Transfer (CEST) MRI provides valuable metabolic information but is clinically limited by long acquisition times. Although sparse sampling reduces scanning time, reconstructing high-resolution Z-spectra from limited data remains an ill-posed inverse problem. Conventional interpolation and generic Implicit Neural Rep-resentations (INRs) often lack physical constraints, leading to spectral artifacts and physically invalid signals. To address this, we propose Lorentz Encoding (LE), a physics-informed framework that formulates CEST reconstruction as a self-supervised reconstruction task via implicit continuous coordinate learning. Unlike generic positional encodings, LE regularizes the continuous spectral mapping by projecting sparse coordinates into a physically constrained space governed by a combination of parametric Lorentzian profiles with learnable basis functions. This mechanism effectively reduces noise and enforces consistency with physical models. Experiments on in vivo human brain data demonstrate that LE significantly outperforms state-of-the-art methods. Specifically, under a 39-point sampling strategy, LE achieves a PSNR of 57.58 dB and an SSIM of 0.9994. Furthermore, the learned physics-informed encodings form a continuous, geometrically ordered trajectory in the latent space, ensuring accurate quantitative metabo-lite mapping (APT, NOE, MT).

医学影像物理模型隐式表征图像重建

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