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.

[1]  Ya-Qin Zhang,et al.  Layered image transmission over cellular radio channels , 1994 .

[2]  Limin Wang,et al.  Comparative performance of pyramid data structures for progressive image transmission , 1991, IEEE Trans. Commun..

[3]  Edward H. Adelson,et al.  The Laplacian Pyramid as a Compact Image Code , 1983, IEEE Trans. Commun..

[4]  Raymond N. J. Veldhuis,et al.  Adaptive interpolation of discrete-time signals that can be modeled as autoregressive processes , 1986, IEEE Trans. Acoust. Speech Signal Process..

[5]  M. P. Ekstrom,et al.  OPTIMUM DESIGN OF TWO-DIMENSIONAL NONRECURSIVE DIGITAL FILTERS. , 1970 .

[6]  R. Steele,et al.  Sample reduction and subsequent adaptive interpolation of speech signals , 1983, The Bell System Technical Journal.

[7]  Martin Vetterli,et al.  Interpolative multiresolution coding of advance television with compatible subchannels , 1991, IEEE Trans. Circuits Syst. Video Technol..

[8]  Steven Kay,et al.  Some results in linear interpolation theory , 1983 .

[9]  Henry M. Dante On the adaptive interpolation of discrete-time signals , 1989 .

[10]  T. Sikora,et al.  Image interpolation based on image statistics: a case study , 1992, TENCON'92 - Technology Enabling Tomorrow.

[11]  Thomas Sikora,et al.  Optimal block-overlapping synthesis transforms for coding images and video at very low bitrates , 1996, IEEE Trans. Circuits Syst. Video Technol..

[12]  Limin Wang,et al.  Progressive image transmission using vector quantization on images in pyramid form , 1989, IEEE Trans. Commun..