Use of Box Splines in Computer Tomography

摘要

Box splines are attractive for practical multivariate approximation, since they possess good appro- mation power and can be evaluated very efficiently. We want to given an idea of how their qualities can be made to come into play in the field of image reconstruction in computerized tomography (CT). To keep the exposition simple, we will concentrate on a special situation: our tomograph will be characterized by the bivariate standard scanning geometry and our reconstructions will always lie In scales of the liner space spanned by the integer translates of a fixed piecewise quadratic box Spline.