Iterated fourier transform systems: A method for frequency extrapolation

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Volumn 4633 LNCS, Issue , 2007, Pages 728-739

  Mayer, Gregory S ^a   Vrscay, Edward R ^a  

^a UNIVERSITY OF WATERLOO   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 37849001226     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-540-74260-9_65     Document Type: Conference Paper

References (18)

1. Barnsley, M.F., Ervin, V., Hardin, D., Lancaster, J.: Solution of an inverse problem for fractals and other sets. Proc. Nat. Acad. Sci. 83, 1975-1977 (1986)
2. Barnsley, M.F., Hurd, L.P.: Fractal Image Compression. A.K. Peters, Wellesley, MA (1993)
3. Bracewell, R.: The Fourier Transform and its Applications, 2nd edn. McGraw-Hill, New York (1978)
4. Fisher, Y.: Fractal Image Compression. Springer Verlag, New York (1995)
5. Forte, B., Vrscay, E.R.: Solving the inverse problem for measures using iterated function systems: A new approach. Adv. Appl. Prob. 27, 800-820 (1995)
6. Forte, B., Vrscay, E.R.: Theory of generalized fractal transforms. In: Fisher, Y. (ed.) Fractal Image Encoding and Analysis. NATO ASI Series F, vol. 159, Springer. New York (1998)
7. Forte, B., Vrscay, E.R.: Inverse problem methods for generalized fractal transforms, In: Fractal Image Encoding and Analysis, ibid.
8. Gerchberg, R.W.: Super-resolution through Error Energy Reduction. Optica Acta 21(9), 709-720 (1974)
9. Haacke, M.E., Brown, R.W., Thompson, M.R., Venkatesan, R.: Magnetic Resonance Imaging: Physical Principles and Sequence Design. John Wiley & Sons, Inc. USA (1999)
10. Hinshaw, W., Lent, A.: An Introduction to NMR Imaging: From the Bloch Equation to the Imaging Equation. Proceedings of the IEEE 71(3), 338-350 (1983)
11. Jain, A., Ranganath, S.: Extrapolation Algorithms for Discrete Signals with Application in Spectral Estimation. IEEE Trans. ASSP 29(4), 830-845 (1981)
12. Liang, Z., Boada, F.E., Constable, R.R., Haacke, M.E., Lauterbur, P.C., Smith, M.R.: Constrained Reconstruction Methods in MR Imaging. Rev. Mag. Res. Med. 4, 67-185 (1992)
13. Liang, Z., Lauterbur, P.C.: Principles of Magnetic Resonance Imaging, A Signal Processing Perspective. IEEE Press, New York (2000)
14. Lu, N.: Fractal Imaging. Academic Press, New York (1997)
15. McGibney, G., Smith, M.R., Nichols, S.T., Crawley, A.: Quantitative Evaluation of Several Partial Fourier Reconstruction Algorithms Used in MRI. Mag. Res. Med. 30, 51-59 (1993)
16. Papoulis, A.: A New Algorithm in Spectral Analysis and Band-Limited Extrapolation. IEEE Trans. Cir. Sys. 22(9), 735-742 (1975)
17. Slepian, D., Pollack, H.O.: Prolate Spheroidal Wave Functions, Fourier Analysis and Uncertainty - I. Bell System Tech. J., pp. 43-63 (1961)
18. Youla, D.: Generalized Image Restoration by the Method of Alternating Orthogonal Projections. IEEE Trans. Cir. Sys. 25(9) (1978)