Preview
Unable to display preview. Download preview PDF.
References
J. Aczél. On mean values. Bulletin of the American Mathematic Society, 54:392–400, 1948.
J. Aczél and Z. Daróczy. On information measures and their characterizations. Academic Press, 1973.
A. D. Brink. Using spatial information as an aid to maximum entropy image threshold selection. Pattern Recognition Letters, 17(1):29–36, January 1996.
A. D. Brink and N. E. Pendock. Minimum cross-entropy threshold selection. Pattern Recognition, 29(1):179–188, January 1996.
James Damon. Local morse theory for gaussian blurred functions. In Jon Sporring, Mads Nielsen, Luc Florack, and Peter Johansen, editors, Gaussian Scale-Space Theory. Kluwer Academic Publishers, The Netherlands, 1997. (in print).
L. M. J. Florack, B. M. ter Haar Romeny, J. J. Koenderink, and M. A. Viergever. Linear scale-space. Journal of Mathematical Imaging and Vision, 4(4):325–351, 1994.
P. Grassberger and I. Procaccia. Dimensions and entropies of strange attractors from a fluctuating dynamics approach. Physica D, 13:34–54, 1984.
G. H. Hardy, J. E. Littlewood, and G. Pólya. Inequalities. Cambridge University Press, 1934.
R. V. Hartley. Transmission of information. Bell System Technical Journal, 7:535–563, 1928.
Thomas C. Hasley, Mogens H. Jensen, Leo P. Kadanoff, Itamar Procaccia, and Boris I. Shraiman. Fractal measures and their singularities: The characterization of strange sets. Physical Review A, 33:1141–1151, 1986.
H. G. E. Hentschel and Itamar Procaccia. The infinite number of generated dimensions of fractals and strange attractors. Physica D, 8:435–444, 1983.
Martin Jägersand. Saliency maps and attention selection in scale and spatial coordinates: An information theoretic approach. In Fifth International Conference on Computer Vision, pages 195–202. IEEE Computer Society Press, June 1995.
Peter Johansen. On the classification of toppoints in scale space. Journal of Mathematical Imaging and Vision, 4:57–67, 1994.
J. J. Koenderink. The structure of images. Biological Cybernetics, 50:363–370, 1984.
L. M. Lifshitz and S. M. Pizer. A multiresolution hierarchical approach to image segmentation based on intensity extrema. IEEE Transactions on Pattern Analysis and Machine Intelligence, 12(6):529–541, 1990.
A. Oomes and P. R. Snoeren. Structural information in scale-space. In Peter Johansen, editor, Proceedings of the Copenhagen Workshop on Gaussian Scale-Space Theory, pages 48–57, Universitetsparken 1, DK-2100 Copenhagen, Denmark, May 10–13 1996. Technical Report DIKU-96/19 ISSN 01078283.
A. H. J. Oomes and E. L. J. Leeuwenberg. A scale-space measure of image complexity. Perception, 23:20–21, 1994. supplement.
Edward Ott. Chaos in dynamical systems. Cambridge University Press, 1994.
Alfréd Rényi. On the foundations of information theory. In Pál Turán, editor, Selected Papers of Alfréd Rényi, volume 2, pages 304–318. Akadémiai Kiadó, Budapest, 1976. (Originally: Rev. Inst. Internat. Stat., 33, 1965, p. 1–14).
Alfréd Rényi. Some fundamental questions of information theory. In Pál Turán, editor, Selected Papers of Alfréd Rényi, volume 3, pages 526–552. Akadémiai Kiadó, Budapest, 1976. (Originally: MTA III. Oszt. Közl., 10, 1960, p. 251–282).
Manfred Schroeder. Fractals, Chaos, Power Laws — Minutes from an infinite paradise. W. H. Freeman and Company, 1991.
Heinz Georg Schuster. Deterministic Chaos. VCH Verlagsgesellschaft mbH, 1989.
C. E. Shannon and W. Weaver. The Mathematical Theory of Communication. The University of Illinois Press, Urbana, Chicago, London, 1949.
Jeffrey S. Simonoff. Smoothing Methods in Statistics. Springer Series in Statistics. Springer-Verlag, 1996.
Jon Sporring. The entropy of scale-space. In Proceedings of 13'th International Conference on Pattern Recognition (ICPR'96), Vienna, Austria, August 1996.
Jacques Levy Vehel and Pascal Mignot. Multifractal segmentation of images. Fractals, 2(3):379–382, June 1994.
J. Weickert. Anisotropic Diffusion in Image Processing. PhD thesis. University of Kaiserslautern, Department of Mathematics, Kaiserslautern, Germany, January 29 1996.
J. Weickert, S. Ishikawa, and A. Imiya. On the history of gaussian scale-space axiomatics. In Jon Sporring, Mads Nielsen, Luc Florack, and Peter Johansen, editors, Gaussian Scale-Space Theory. Kluwer Academic Publishers, The Netherlands, 1997. (in print).
N. Wiener. Cybernetics. Wiley, New York, 1948.
A. P. Witkin. Scale-space filtering. In Proc. 8th Int. Joint Conf. on Artificial Intelligence (IJCAI '83), volume 2, pages 1019–1022, Karlsruhe, Germany, August 1983.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1997 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Sporring, J., Weickert, J. (1997). On generalized entropies and scale-space. In: ter Haar Romeny, B., Florack, L., Koenderink, J., Viergever, M. (eds) Scale-Space Theory in Computer Vision. Scale-Space 1997. Lecture Notes in Computer Science, vol 1252. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-63167-4_39
Download citation
DOI: https://doi.org/10.1007/3-540-63167-4_39
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-63167-5
Online ISBN: 978-3-540-69196-9
eBook Packages: Springer Book Archive