Abstract
In the previous chapters we have considered the classical information theory as initiated by Shannon, and have modified this in various ways, mainly in order to account for the relative effects of the observer via the meaning of the observable under consideration. In all these studies, we restricted ourselves to the entropy of scalar-valued random variables and of random vectors. In the present chapter we shall examine ways in which we can generalize the results to measure the amount of uncertainty involved in patterns and forms.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Kolmogorov, A. N.: Dokl. Akad. Nauk. USSR 98, 527 (1959)
Mandelbrot, B. B.: The Fractal Geometry of Nature ( Freeman, New York 1977 )
Dupain, Y., Kamae, T., Mendes France, M.: Arch, for Rat. Mech. 94, 155 (1986)
Oswald, J.: Theorie de L’Information ou Analyse Diacritique des Systèmes ( Masson, Paris 1986 )
Jumarie, G.: Systems Analysis, Modelling, Simulation 6, 323–363 (1989)
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1990 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Jumarie, G. (1990). Entropy of Form and Pattern. In: Relative Information. Springer Series in Synergetics, vol 47. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-84017-3_8
Download citation
DOI: https://doi.org/10.1007/978-3-642-84017-3_8
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-84019-7
Online ISBN: 978-3-642-84017-3
eBook Packages: Springer Book Archive