A survey of image registration techniques
ACM Computing Surveys (CSUR)
Spline-Based Image Registration
International Journal of Computer Vision
Scattered Data Interpolation with Multilevel B-Splines
IEEE Transactions on Visualization and Computer Graphics
A pyramid approach to subpixel registration based on intensity
IEEE Transactions on Image Processing
WBIR'10 Proceedings of the 4th international conference on Biomedical image registration
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Since the 1970's B-splines have evolved to become the de facto standard for use in curve and surface representation. This resulted in a relatively recent proliferation of nonrigid image registration techniques based on B-splines. These techniques fall under the general Free-Form Deformation (FFD) approach in which the object to be registered is embedded within a B-spline object. The deformation of the B-spline object represents the transformation space of the registered object. In this paper, we describe the implementation of our finite element methodological (FEM) approach using B-splines. This registration framework subsumes essential components of currently popular FFD image registration algorithms, while providing a more principled and generalized control mechanism for nonrigid deformation. Our implementation constitutes an extension of the existing FEM library of the Insight Toolkit (ITK). We discuss the theoretical implications and provide experimental results of our proposed methodology.