Deformable Image Registration Model Based on Weighted Bounded Deformation Function
Deformable image registration is a very important topic in the field of image processing.It is one of the most basic problems in computer vision,and also a difficult point in medical image analysis.In this paper,we study the image registration of two uni-modal grayscale images.A new deformable image registration model based on the weighted bounded deformation function is proposed by fully considering the edge information of the reference image.In addition,the paper firstly proposes a weighted bounded deformation function space in which the definition and related conclusions are given.Theoretically,we prove the exis-tence of solutions to the proposed model.Furthermore,an effective algorithm is designed based on the gradient descent method to numerically solve the model.Moreover,numerical experiments which are also performed on synthetic images and medical images respectively show that,compared with other comparison models,the proposed model can obtain more accurate registration results by introducing control functions and using weighted bounded deformation functions as regular terms,especially in the image edge.