Abstract
Finite automata are being used to encode images. Applications of this technique include image compression, and extraction of self similarity information and Hausdorff dimension of the encoded image. Jürgensen and Staiger [7] proposed a method by which the local Hausdorff dimension of the encoded image could be effectively computed. This paper describes the first implementation of this procedure and presents some experimental results showing local entropy maps computed from images represented by finite automata.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Culik II, K., Kari, J.: Digital Images and Formal Languages. In [9] 599–616.
Culik II, K., Kari, J.: Image Compression using Weighted Finite Automata. Comput. and Graphics 17(3) (1993) 305–313
Culik II, K., Valenta, V.: Finite Automata Based Compression of Bi-level and Simple Color Images. Comput. and Graphics 21(1), (1997) 61–68
Eramian, M.: Computing Entropy Maps of Finite-Automaton-Encoded Binary Images. Technical Report #544, Department of Computer Science, University of Western Ontario.
Eramian, M., Schincariol, R. A., Mansinha, L., Stockwell, R. G.: Generation of Aquifer Heterogeneity Maps using Two Dimensional Spectral Texture Segmentation Techniques. Mathematical Geology, 31(3) (1999) 327–348
Gerald, C. F., Wheatley, P. O.: Applied Numerical Analysis, Fifth Edition. Addison-Wesley Publishing Company (1994)
Jurgensen, H., Staiger, L.: Local Hausdorff Dimension. Acta Informatica 32 (1995) 491–507
Pal, N. R., Pal, S. K.: A review on image segmentation techniques. Pattern Recognition 26(9) (1993) 1277–1294
Rozenberg, G., Salomaa, A. (eds.): Handbook of Formal Languages Vol. 3, edited by G. Rozenberg and A. Salomaa. Springer-Verlag, Berlin (1997)
Seneta, E.: Non-negative Matrices and Markov Chains, second edition. Springer-Verlag, New York (1981)
Staiger, L.: Quadtrees and the Hausdorff Dimension of Pictures. In: Geobild’ 89, Proceedings of the 4th Workshop on Geometrical Problems of Image Processing held in Georgenthal, March 13–17, 1989, edited by A. Hubler, W. Nagel, B. D. Ripley, G. Werner. Akademie-Verlag, Berlin (1989) 173–178
Thomas, W.: Automata on Infinite Objects. In: Handbook of Theoretical Computer Science, Volume B: Formal Models and Semantics, edited by J. V. Leeuwen. Elsevier, Amsterdam (1994) 133–191
Van Gool, L., Dewaele, P., Oosterlinck, A.:Texture Analysis. Comput. Vision Graphics Image Process. 29(3) (1985) 336–357
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2001 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Eramian, M.G. (2001). Computing Entropy Maps of Finite-Automaton-Encoded Binary Images. In: Boldt, O., Jürgensen, H. (eds) Automata Implementation. WIA 1999. Lecture Notes in Computer Science, vol 2214. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45526-4_8
Download citation
DOI: https://doi.org/10.1007/3-540-45526-4_8
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-42812-1
Online ISBN: 978-3-540-45526-4
eBook Packages: Springer Book Archive