Progressive transmission of images: PC-based computations, using orthogonal matrix polynomials

Two methods for reconstructing a 3-D image as its 2-D parallel slices are transmitted progressively, in some order, are presented and analyzed. In the originating data base, an ordered set of 2-D slices could represent computer tomography (CT), magnetic resonance images (MRI), or cryosection cross-sections of a 3-D object, for example. With this digital formulation, matrix interpolating polynomial machinery renders a progressively-improving image as slices are received. A piecewise matrix polynomial reconstruction is also considered for reducing computational needs.