基于拟共形理论的分数阶多尺度微分同胚图像配准

Abstract

Abstract:

Two significant challenges relating to image registration include the issue of mesh folding and the unresolved problem of greedy registration. To tackle these challenges, a multi-scale approach for diffeomorphic image registration model with fractional-order regularization based on quasiconformal theory is proposed in this paper. It employs fractional-order differential to achieve a smooth energy functional minima without mesh folding and a priori regular terms. Furthermore, the existence of solution for the proposed model and the convergence of the multi-scale approach are proved. And numerical tests are performed to demonstrate that the proposed algorithm effectively eliminates mesh folding and generates superior registration results.

Key words: Diffeomorphic, Multi-scale, Quasiconformal theory, Fractional-order regularization, Image registration

CLC Number:

TP391

Wang Huinan, Han Huan. Multi-Scale Approach for Diffeomorphic Image Registration with Fractional-Order Regularization Based on Quasiconformal Theory[J].Acta mathematica scientia,Series A, 2024, 44(6): 1665-1688.

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Figures/Tables 18

References 41

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Multi-Scale Approach for Diffeomorphic Image Registration with Fractional-Order Regularization Based on Quasiconformal Theory

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