Optimal Wiener interpolation filters for multiresolution coding of images

A design approach is presented which allows the optimization of coefficients for symmetric and separable finite impulse response (FIR) interpolation filters for multiresolution coding schemes. The interpolation filters serve as optimal inverse filters in the Wiener sense and are designed to match the characteristics of the specific filters used for decimation as well as for the statistics of "typical" images to be reconstructed. Applied to the coding of test images in a four-level progressive pyramid scheme, the optimal interpolation filters generated substantially improved rate-distortion results compared to conventional filters.