Reconstruction of Two-Dimensional Signals from Irregularly Spaced Samples
Conference paper
Abstract
There are many occasions when it is desirable to reconstruct a two-dimensional (2-D) signal from a set of irregularly spaced samples. In [2] the authors mention applications to image processing, where irregularly spaced samples result from sampling related to motion compensation of time-varying imagery, as well as applications to computer graphics, geology, and more.
Preview
Unable to display preview. Download preview PDF.
References
- 1.F.J. Beutler, Error-free recovery of signals from Irregularly spaced samples. SIAM Review 8 (1966) 328–335.MathSciNetMATHCrossRefGoogle Scholar
- 2.D.S. Chen and J.P. Allebach, Analysis of error in reconstruction of two-dimensional signals from irregularly spaced samples. IEEE Trans. Acoust. Speech, Signal Processing ASSP-35 (1987) 173–180.MathSciNetCrossRefGoogle Scholar
- 3.J.J. Clark, M.R. Palmer and P.D. Lawrence, A transformation method for the reconstruction of functions from nonuniformly spaced samples. IEEE Trans. Acoust. Speech, Signal Processing ASSP-33 (1985) 1151–1165.CrossRefGoogle Scholar
- 4.J.R. Higgins, A sampling theorem for irregularly spaced sample points. IEEE Trans. Inform. Theory IT-22 (1976) 621–622.MathSciNetCrossRefGoogle Scholar
- 5.R.M. Mersereau and T.C. Speake, The processing of periodically sampled multidimensional signals. IEEE Trans. Acoust. Speech, Signal Processing ASSP-31 (1983) 188–194.CrossRefGoogle Scholar
- 6.D.H. Mugler and W. Splettstößer, Difference methods for the prediction of band-limited signals. SIAM J. Appl. Math. 46 (1986) 930–941.MathSciNetMATHCrossRefGoogle Scholar
- 7.D.P. Petersen and D. Middleton, Sampling and reconstruction of wave-number-limited functions in n-dimensions. Inform. Control 5_ (1962) 279–323.MathSciNetCrossRefGoogle Scholar
- 8.H.S. Shapiro, Topics in Approximation Theory. Lecture Notes in Mathematics 187, Springer-Verlag, Berlin, 1971.Google Scholar
- 9.W. Splettstößer, Unregelmäßige Ab tastung determinierter und zufälliger Signale. Kolloquium, DFG-Schwerpunktprogramm Digitale Signalverarbeitung, (1981) 1–4.Google Scholar
- 10.R.M. Young, An Introduction to Nonharmonic Fourier Series. Academic Press, New York, 1980.MATHGoogle Scholar
Copyright information
© Springer-Verlag Berlin Heidelberg 1987