Representation of Images Through Group-Delay ... - IEEE Xplore

240 IEEE TRANSACTIONS ON ACOUSTICS, SPEECH, AND SIGNAL PROCESSING, VOL. ASSP-35, NO. 2, FEBRUARY 1987(a)(b)Fig. 5. Image reconstruction from FT magnitude: approximate minimumphase signal. (a) Original. (b) Minimum phase equivalent image fromFT magnitude.(a) (b) (C)Fig. 6. Image reconstruction from FT phase.phase equivalent image from FT phase.tion from FT phase.(a) Original. (b) Minimum(c) Iterative image reconstruc-issues which have not been specifically addressed here. In particular,we do not have a good method of handling the cases wherethe signal spectrum is nearly zero at some frequencies.The advantage of the group-delay representation is that it allowsmanipulation of the information contained in phase. We are currentlyexploring the possibility of using this method of phase processingfor image reconstruction, enhancement, and restoration.REFERENCES111 A. Rosenfeld and A. C. Kak, Digital Picture Processing, vol. 1. NewYork: Academic, 1982.[2] S. M. Kay and S. D. Maple, “Spectrum analysis-A modern perspective,”Proc. IEEE, vol. 69, pp. 1380-1418, Nov. 1981.[3] M. H. Hayes, “The reconstruction of a multidimensional sequencefrom phase or magnitude of its Fourier transform,” IEEE Trans.Acoust., Speech, Signal Processing, vol. ASSP-30, pp. 140-154,Apr. 1982.[4] A. V. Oppenheim and R. W. Schafer, Digital Signul Processing.Englewood-Cliffs, NJ: Prentice-Hall, 1975, ch. 10.[SI B. Yegnanarayana, D. K. Saikia, and T. R. Krishnan, “Significanceof group-delay functions in signal reconstruction from spectral magnitudeor phase,” IEEE Trans. Acoust., Speech, Signal Processing,vol. ASSP-32, pp. 610-623, June 1984.[6] B. Bhanu, “Computation of two-dimensional complex cepstrum,” inProc. IEEE Int. ConJ Acoust., Speech, Signal Processing, vol. 3,1982,pp. 140-143.[7] D. E. Dugeon, “The computation of two-dimensional cepstrum,”IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-25, pp.476-484, Dec. 1977.