Abstract: In this paper a reversible image coder is presented for both 2D and 3D images. The coder is based on hierarchical interpolation (HINT) and arithmetic coding. Simulations on medical images show that the decorrelation efficiency of HINT is image dependent; arithmetic coding approximates the entropy of the decorrelated images within a few percent. An investigation is performed as to the gain that can be obtained by applying a HINT-like decorrelator to 3D images. A variance analysis of estimators used in 2D HINT shows that for the class of images with an isotropic negative exponential autocorrelation function, no significant improvement can be obtained by extending a 2D HINT-like decorrelation method to 3D. !
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