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Minimum mean square error (MMSE) design of generalized interpolation filters for the motion processing of interlaced images

Delogne et al (1993) have shown how vertical motion could be handled when processing interlaced images with sub-pixel accuracy. The description was based on a generalized version of the sampling theorem. This formalism has been used to solve the problem of image deinterlacing. It has also been shown how the interpolation filters associated with non-uniform periodical sampling can be approximated by means of a minimum mean squared design. In the present paper, we show how to apply this type of design to the interpolation operation involved in the motion estimation/compensation process on the one hand, and in the deinterlacing process on the other hand. It will be shown how to compute the filter coefficients as functions of the motion and the statistical properties of the images. The results obtained for this type of design will be compared with the ones obtained by means of the design methods presented in previous papers by the authors.