Paper Info
Title
Adaptive FEM-based nonrigid image registration using truncated hierarchical B-splines.
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.
Year
DOI
Venue
2016
10.1016/j.camwa.2016.05.020
Computers & Mathematics with Applications
Keywords
Field
DocType
Nonrigid image registration,Truncated hierarchical B-splines,Adaptive local refinement,Finite Element Method
Mathematical optimization,Partition of unity,Linear independence,Linear system,System of linear equations,Finite element method,Basis function,Energy functional,Mathematics,Image registration
Journal
Volume
Issue
ISSN
72
8
Computers & Mathematics with Applications, Volume 72, Issue 8, October 2016, Pages 2028-2040
Citations 
PageRank 
References 
2
0.40
8
Authors
7
Name
Order
Citations
PageRank
Aishwarya Pawar121.08
Yongjie Zhang229334.45
Yue Jia330.78
Xiaodong Wei430.76
Timon Rabczuk513029.62
Chiu Ling Chan620.40
C. Anitescu7263.94