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We present an automatic sub-pixel registration algorithm that minimizes the mean square difference of intensities between a reference and a test data set, which can be either tri-dimensional (3-D) volumes or bi-dimensional (2-D) images. It uses spline proc ...
Shift-orthogonal wavelets are a new type of multiresolution wavelet bases that are orthogonal with respect to translation (or shifts) within one level, but not with respect to dilations across scales. In this paper, we characterize these wavelets and inves ...
We investigate the functions of given approximation order L that have the smallest support. Those are shown to be linear combinations of the B-spline of degree L-1 and its L-1 first derivatives. We then show how to find the functions that minimize the asym ...
We present some issues that arise when a geometric transformation is performed on an image or a volume. In particular, we illustrate the well-known problems of blocking, blurring, aliasing and ringing. Although the solution to these problems is trivial in ...
We propose a new optimizer in the context of multimodal image registration. The optimized criterion is the mutual in formation between the images to align. This criterion requires that their joint histogram be available. For its computation, we introduce d ...
