基于Cauchy-Riemann约束和下界变形发散的三维差分图像配准

IF 1.9 3区数学 Q2 Mathematics

Esaim-Mathematical Modelling and Numerical Analysis-Modelisation Mathematique et Analyse Numerique Pub Date : 2022-09-29 DOI:10.1051/m2an/2022080

Huan Han, Zhengping Wang

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引用次数: 2

摘要

为了消除三维图像配准中的网格折叠问题，提出了一种具有柯西-黎曼约束和下界变形发散的三维微分同构图像配准模型。该模型保留了局部形状，并确保没有网格折叠。证明了模型解的存在性。在此基础上，提出了一种交替方向投影的三维图像配准算法。数值实验表明，该算法与其他三种算法相比具有较强的竞争力。

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3D diffeomorphic image registration with Cauchy-Riemann constraint and lower bounded deformation divergence

In order to eliminate mesh folding in 3D image registration problem, we propose a 3D diffeomorphic image registration model with Cauchy-Riemann constraint and lower bounded deformation divergence. This model preserves the local shape and ensures no mesh folding. The existence of solution for the proposed model is proved. Furthermore, an alternating directional projection 3D image registration algorithm is presented to solve the proposed model. Moreover, numerical tests show that the proposed algorithm is competitive compared with the other three algorithms.

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来源期刊

Esaim-Mathematical Modelling and Numerical Analysis-Modelisation Mathematique et Analyse Numerique 数学-应用数学

CiteScore

2.70

自引率

5.30%

发文量

审稿时长

6-12 weeks

期刊介绍： M2AN publishes original research papers of high scientific quality in two areas: Mathematical Modelling, and Numerical Analysis. Mathematical Modelling comprises the development and study of a mathematical formulation of a problem. Numerical Analysis comprises the formulation and study of a numerical approximation or solution approach to a mathematically formulated problem. Papers should be of interest to researchers and practitioners that value both rigorous theoretical analysis and solid evidence of computational relevance.