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This paper presents an original method for three-dimensional elastic registration of multimodal images. The authors propose to make use of a scheme that iterates between correcting for intensity differences between images and performing standard monomodal registration. The core of the authors' contribution resides in providing a method that finds the transformation that maps the intensities of one image to those of another. It makes the assumption that there are at most two functional dependencies between the intensities of structures present in the images to register, and relies on robust estimation techniques to evaluate these functions. The authors provide results showing successful registration between several imaging modalities involving segmentations, T1 magnetic resonance (MR), T2 MR, proton density (PD) MR and computed tomography (CT). The authors also argue that their intensity modeling may be more appropriate than mutual information (MI) in the context of evaluating high-dimensional deformations, as it puts more constraints on the parameters to be estimated and, thus, permits a better search of the parameter space.
Guimond et al. (Mon,) studied this question.