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arXiv 2310.04009eess.IV

基于Hessian的多模态医学图像配准相似性度量

Hessian-based Similarity Metric for Multimodal Medical Image Registration

Mohammadreza Eskandari, Houssem-Eddine Gueziri, D. Louis Collins

AI总结:

本研究提出基于Hessian矩阵的多模态医学图像相似性度量解析方法,给出几何解释与高效实现,验证了其对强度不均的鲁棒性,在MRI与超声仿射配准任务中表现出良好性能。

摘要:

传统及部分深度学习医学图像配准算法的核心要素之一是衡量两幅图像之间的相似性/差异性。本研究提出一种基于图像强度Hessian矩阵的解析解,用于衡量两种不同医学图像模态间的相似性。首先,假设完全对应图像块的强度之间存在函数依赖关系,我们探究了二者Hessian矩阵的关联方式。其次,针对任意图像块对,我们提出了一个闭式表达式来量化该关联关系的偏差。我们为该新型相似性度量提供了几何解释,并提出了一种适用于配准的高效实现方案。我们利用合成偏置场验证了该度量对强度不均匀性的鲁棒性。通过将该新型度量整合到仿射配准框架中,我们在图像引导神经外科场景下,采用目标配准误差和计算时间两个指标,评估了其在MRI与超声图像配准任务中的性能。

英文摘要:

One of the fundamental elements of both traditional and certain deep learning medical image registration algorithms is measuring the similarity/dissimilarity between two images. In this work, we propose an analytical solution for measuring similarity between two different medical image modalities based on the Hessian of their intensities. First, assuming a functional dependence between the intensities of two perfectly corresponding patches, we investigate how their Hessians relate to each other. Secondly, we suggest a closed-form expression to quantify the deviation from this relationship, given arbitrary pairs of image patches. We propose a geometrical interpretation of the new similarity metric and an efficient implementation for registration. We demonstrate the robustness of the metric to intensity nonuniformities using synthetic bias fields. By integrating the new metric in an affine registration framework, we evaluate its performance for MRI and ultrasound registration in the context of image-guided neurosurgery using target registration error and computation time.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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