Hostname: page-component-848d4c4894-ndmmz Total loading time: 0 Render date: 2024-05-15T08:16:23.265Z Has data issue: false hasContentIssue false
  • English
  • Français

An inequality for pairs of martingales and its application to fractal image coding

Part of: Communication, information Stochastic processes

Published online by Cambridge University Press:  14 July 2016

F. M. Dekking
F. M. Dekking*
Affiliation:
Technische Universiteit Delft
*
∗Postal address: Faculteit der Technische Wiskunde en Informatica, Technische Universiteit Delft, Mekelweg 4, 2628 CD Delft, The Netherlands.
Get access Rights & Permissions [Opens in a new window]

Abstract

We prove a monotonicity property for a function of general square integrable pairs of martingales which is useful in fractal-based algorithms for compression of image data.

Keywords

MARTINGALESQUAD TREESFRACTAL IMAGE COMPRESSION

MSC classification

Primary: 60G42: Martingales with discrete parameter
Secondary: 94A99: None of the above, but in this section
Type
Research Papers
Information
Journal of Applied Probability , Volume 33 , Issue 4 , December 1996 , pp. 968 - 973
Copyright
Copyright © Applied Probability Trust 1996 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

[1] Bedford, T., Dekking, F. M., Breeuwer, M., Keane, M. S., and Van Schooneveld, D. (1994) Fractal coding of monochrome images. Signal Process: Image Communication 6, 405–419.Google Scholar
[2] Bedford, T., Dekking, F. M. and Keane, M. S. (1992) Fractal image coding techniques and contraction operators. Nieuw Arch. Wisk. 10, 185–217.Google Scholar
[3] Fisher, Y. (1995) Fractal image compression with quad trees. In Fractal Image Compression. ed. Fisher, Y. Springer, New York.CrossRefGoogle Scholar
[4] Jacquin, A. E. (1989) A fractal theory of iterated Markov operators with applications to digital image coding. PhD thesis. Georgia Institute of Technology.Google Scholar
[5] Kelly, M. D. (1971) Edge detection in pictures by computer using planning. Machine Intelligence 6, 397–409.Google Scholar