Radon-Hermite analysis applied to image coding
J.L. Sivan-C, M.P. Angeles-Meza, B. Escalante-Ramfrez · 2003
In this paper it is shown how local differential structures in images can be described and coded efficiently by means of the analysis of local projections. Such analysis involves a 1-D Hermite transform of all local Radon projections, where localization is achieved by applying a Gaussian window to the image. Since the Gaussian window is isotropic, the 1-D analysis can be based on the 2-D cartesian Hermite transform. For the case of oriented patterns such as edges and lines, the image is suitably described with a unique projection giving the maximum directional energy. We show that the inverse Radon transform is not required in the synthesis process, since only the information along one direction is preserved. A more specific representation is introduced in an edge model whose parameters are determined in terms of the Hermitian coefficients up to second order. Experimental results are also included.