We propose a constrained linear curvature image registration model to explicitly control the deformation according to the transformed Jacobian matrix determinant using point-by-point inequality constraints in this paper. In addition, an effective numerical method is proposed to solve the resulting inequality constrained optimization model. Finally, some numerical examples are given to prove the obvious advantages of the curvature image registration model with inequality constraints.

中文翻译：

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约束线性曲率图像配准模型及其数值算法

本文提出了一种约束线性曲率图像配准模型，根据点对点不等式约束，根据变换后的雅可比行列式显式控制变形。此外，提出了一种有效的数值方法来求解由此产生的不等式约束优化模型。最后，通过数值例子验证了不等式约束下曲率图像配准模型的明显优势。