In this paper, we propose a diffeomorphic multi-modality image registration model based on the Rényi’s statistical dependence measure by taking mesh folding elimination into consideration. The existence of solution for the proposed model is proved, and a multi-grid algorithm is presented for multi-modality image registration. And the convergence of minimizing sequence is proved. Moreover, numerical tests are performed to demonstrate that the proposed algorithm works for both mono-modality image registration and multi-modality image registration without mesh folding.

中文翻译：

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用于多模态图像配准的二维微分同胚模型

在本文中，我们通过考虑网格折叠消除，提出了一种基于 Rényi 统计相关性度量的微分同胚多模态图像配准模型。证明了所提出模型的解的存在性，并提出了一种用于多模态图像配准的多网格算法。并证明了最小化序列的收敛性。此外，进行了数值测试以证明所提出的算法适用于单模态图像配准和多模态图像配准而无需网格折叠。