arXiv:2410.06624eess.IVq-bio.QM2024-10中稿 · 2024 IEEE Internat…被引 3

用齐夫-扎卡伊界优化磁共振指纹成像,提升组织分辨精度。

Optimized Magnetic Resonance Fingerprinting Using Ziv-Zakai Bound

  • 基于齐夫-扎卡伊界建立指纹信号判别误差下界,揭示序列性能极限。
  • 优化后方案在参数图重建上优于传统与克拉默-罗界方法。
  • 适合关注MRI序列设计与定量成像精度的科研人员。

磁共振指纹成像(MRF)是一种有前景的定量成像技术,可在单次扫描中同时获取多种组织参数图,全面揭示组织特性。序列优化对提升MRF的准确性和效率至关重要。本文提出一种基于齐夫-扎卡伊界(ZZB)的新框架进行MRF序列优化。与旨在提升确定性参数下单一指纹信号质量的克拉默-罗界(CRB)不同,ZZB可评估指定参数范围内两指纹信号匹配时的最小误判概率。本文推导出显式ZZB,为MRF中指纹信号匹配过程的判别误差建立下界,揭示了MRF序列的内在局限性,深化了对现有序列性能的理解。随后,基于ZZB构建最优实验设计问题,以确定最佳采集参数方案,最大化不同组织类型间的区分能力。初步数值实验表明,优化后的ZZB方案在多参数图重建准确性上优于传统方案和基于CRB的方案。

原文摘要 · Abstract (English)

Magnetic Resonance Fingerprinting (MRF) has emerged as a promising quantitative imaging technique within the field of Magnetic Resonance Imaging (MRI), offers comprehensive insights into tissue properties by simultaneously acquiring multiple tissue parameter maps in a single acquisition. Sequence optimization is crucial for improving the accuracy and efficiency of MRF. In this work, a novel framework for MRF sequence optimization is proposed based on the Ziv-Zakai bound (ZZB). Unlike the Cramér-Rao bound (CRB), which aims to enhance the quality of a single fingerprint signal with deterministic parameters, ZZB provides insights into evaluating the minimum mismatch probability for pairs of fingerprint signals within the specified parameter range in MRF. Specifically, the explicit ZZB is derived to establish a lower bound for the discrimination error in the fingerprint signal matching process within MRF. This bound illuminates the intrinsic limitations of MRF sequences, thereby fostering a deeper understanding of existing sequence performance. Subsequently, an optimal experiment design problem based on ZZB was formulated to ascertain the optimal scheme of acquisition parameters, maximizing discrimination power of MRF between different tissue types. Preliminary numerical experiments show that the optimized ZZB scheme outperforms both the conventional and CRB schemes in terms of the reconstruction accuracy of multiple parameter maps.

磁共振指纹成像序列优化统计估计

Thank you to arXiv for use of its open access interoperability. PaperDance 不是 arXiv 官方产品;中文卡片由大模型生成,请以原文为准。