Enhanced mean curvature model for image registration and an efficient numerical solution strategy
Xu Kong, Fenlin Yang, Jianping Zhang, Jianping Zhang, Jin Zhang, Jin Zhang · International Journal of Computer Mathematics · 2025
This study presents an enhanced mean curvature image registration model designed to handle displacement fields with varying degrees of smoothness while effectively preventing grid folding. Our approach utilizes a multi-level strategy that integrates the Lagrangian multiplier method and damped Newton's method employing Armijo line search for the efficient solution of the proposed model. Convergence analysis of the algorithm is also conducted. Both synthetic and real image experiments produced results demonstrate that our model achieves visually superior registration outcomes and robustly prevents grid folding.