Adaptive FEM-based nonrigid image registration using truncated hierarchical B-splines. (October 2016)

• Record Type: Journal Article
• Authors: Pawar, Aishwarya; Zhang, Yongjie; Jia, Yue; Wei, Xiaodong; Rabczuk, Timon; Chan, Chiu Ling; Anitescu, Cosmin
• Is Part Of: Computers & mathematics with applications. Volume 72:issue 8(2016)
• Page Start: 2028
• Page End: 2040
• Publication Date: 2016-10
• Subjects: Nonrigid image registration -- Truncated hierarchical B-splines -- Adaptive local refinement -- Finite Element Method; Electronic data processing -- Periodicals; Mathematics -- Data processing -- Periodicals; 510.28541
• DOI: 10.1016/j.camwa.2016.05.020
• Languages: English
• ISSNs: 0898-1221

Abstract

Abstract: We present an efficient approach of Finite Element Method (FEM)-based nonrigid image registration, in which the spatial transformation is constructed using truncated hierarchical B-splines (THB-splines). The image registration framework minimizes an energy functional using an FEM-based method and thus involves solving a large system of linear equations. This framework is carried out on a set of successively refined grids. However, due to the increased number of control points during subdivision, large linear systems are generated which are generally demanding to solve. Instead of using uniform subdivision, an adaptive local refinement scheme is carried out, only refining the areas of large change in deformation of the image. By incorporating the key advantages of THB-spline basis functions such as linear independence, partition of unity and reduced overlap into the FEM-based framework, we improve the matrix sparsity and computational efficiency. The performance of the proposed method is demonstrated on 2D synthetic and medical images.