精确质量保持的弹性图像配准
Elastic image registration with exact mass preservation
摘要：
我们建立了一个新的框架，图像配准，这是基于线弹性和最优质量输运理论。我们结合这两个参数，以获得一个PDE约束最优化问题，分析研究和进一步离散的有限差分法和解决的不精确SQP算法。这需要在每一步中求解具有鞍点形式的大型稀疏线性系。出于稳定性的论点，我们使用一个完全交错网格的位移向量场的离散化。人工和现实世界的例子强调的数值鲁棒性的方法。
英文摘要：
We establish a new framework for image registration, which is based on linear elasticity and optimal mass transportation theory. We combine these two arguments in order to obtain a PDE constrained optimization problem that is analytically investigated and further discretized with the finite difference method and solved by an inexact SQP algorithm. This requires to solve in each step a large sparse linear system, which has a saddle point form. Motivated by stability arguments we use a fully staggered grid for the discretization of the displacement vector field. Artificial and real world examples are presented to underline the numerical robustness of the method.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
