Multidimensional elastic registration of images using splines

We present an algorithm for nonlinear multidimensional registration. The correspondence function is represented in a spline space. We also use cubic splines to interpolate the volumetric data to be registered. We use a multiresolution strategy, which gives us robustness and additional speedup. We analyze the computational complexity of the algorithm and its performance using different multidimensional optimization methods. Finally, we present an application of the algorithm for registering technetium ethylene cysteine diethylester (ECD) SPECT images for realignment of corresponding Xe inhalation SPECT images.