Title
Piecewise nonlinear image registration using DCT basis functions
Abstract
The deformation field in nonlinear image registration is usually modeled by a global model. Such models are often faced with the problem that a locally complex deformation can not be accurately modeled by simply increasing degrees of freedom (DOF). In addition, highly complex models require additional regularization which is usually ineffective when applied globally. Registering locally corresponding regions addresses this problem in a divide and conquer strategy. In this paper we propose a piecewise image registration approach using Discrete Cosine Transform (DCT) basis functions for a nonlinear model. The contributions of this paper are three-folds. First, we develop a multi-level piecewise registration framework that extends the concept of piecewise linear registration and works with any nonlinear deformation model. This framework is then applied to nonlinear DCT registration. Second, we show how adaptive model complexity and regularization could be applied for local piece registration, thus accounting for higher variability. Third, we show how the proposed piecewise DCT can overcome the fundamental problem of a large curvature matrix inversion in global DCT when using high degrees of freedoms. The proposed approach can be viewed as an extension of global DCT registration where the overall model complexity is increased while achieving effective local regularization. Experimental evaluation results provide comparison of the proposed approach to piecewise linear registration using an affine transformation model and a global nonlinear registration using DCT model. Preliminary results show that the proposed approach achieves improved performance.
Year
DOI
Venue
2015
10.1117/12.2082293
Proceedings of SPIE
Keywords
Field
DocType
Piecewise Registration,Adaptive Regularization,Discrete Cosine Transform
Affine transformation,Computer vision,Mathematical optimization,Nonlinear system,Discrete cosine transform,Regularization (mathematics),Artificial intelligence,Basis function,Piecewise linear function,Image registration,Piecewise,Physics
Conference
Volume
ISSN
Citations 
9413
0277-786X
0
PageRank 
References 
Authors
0.34
5
2
Name
Order
Citations
PageRank
Lin Gan118630.78
Gady Agam239143.99