Demons非刚性配准算法拓扑保持性的研究

Research on the Topology Preservation of the Demons Non-rigid Registration Algorithm

在基于配准的图像分割应用中,拓扑保持性是非刚性图像配准算法的一个重要约束.本文从矢量场特性出发,分析了Demons非刚性图像配准算法导致目标拓扑改变时变形场的特点.根据变形场特点与其雅可比行列式之间的关系,给出了校正该算法拓扑保持性的方法.实验表明,改进后的变形场具有了拓扑保持性.

Topology preservation is an important constraint of image non-rigid registration algorithms in the applications of registration based image segmentation. In this paper, the deformation field of the Demons non-rigid registration that make the object＇s topology change is analyzed according to the features of the vector field. An method that can enforce the algorithm＇s topology preservation is provided on the basis of relation between the deformation field and its Jacobian. The experiment results show that the modified deformation field is topology preserving.