Abstract
Blurring is not the only way to selectively remove fine spa- tial detail from an image. An alternative is to scramble pixels locally over areas defined by the desired blur circle. We refer to such scram- bled images as “locally disorderly”. Such images have many potentially interesting applications. In this contribution we discuss a formal frame- work for such locally disorderly images. It boils down to a number of intricately intertwined scale spaces, one of which is the ordinary linear scale space for the image. The formalism is constructed on the basis of an operational definition of local histograms of arbitrary bin width and arbitrary support
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References
Florack, L. M. J. 1997. Image Structure. Dordrecht: Kluwer.
Griffin, L. D. 1997. Scale-imprecision space. Image and Vision Computing, 15: 369–398.
Helmholtz, H. 1866. Handbuch der physiologischen Optik. Hamburg and Leipzig: Voss.
Hess, R. 1982. Developmental sensory impairment: Amblyopia or tarachopia? Hu man Neurobiology, 1: 17–29.
Homer, W. I. 1964. Seurat and the science of painting. Cambridge, Mass.: The M.I.T. Press.
Koenderink, J. J. and van Doorn, A. J. 1978. Invariant features of contrast detection: An explanation in terms of self-similar detector arrays. Biological Cybernetics, 30: 157–167.
Koenderink, J. J. 1984. The structure of images. Biological Cybernetics, 50: 363–370.
Koenderink, J. J. and van Doorn, A. J. 1992. Generic neighborhood operators. IEEE Transactions on Pattern Analysis and Machine Intelligence, 14: 597–605.
Lindeberg, T. 1994. Scale-space theory in computer vision. Boston, Mass.: Kluwer.
Metzger, W. 1975. Gesetze des Sehens. Frankfurt a.M.: Verlag Waldemar Kramer.
Noest, A. J. and Koenderink, J. J. 1990. Visual coherence despite transparency or partial occlusion. Perception, 19: 384.
Parzen, E. 1962. On estimation of a probability density function and mode. Annual Mathematical Statistics, 33: 1065–1076.
Ruskin, J. 1900. Elements of drawing (first ed. 1857). Sunnyside, Orpington: George Allen.
Ruskin, J. 1873. Modern Painters (Vol. I). Boston: Dana Estes & Company.
Ulichney, R. A. 1987. Digital halftoning. Cambridge, Mass.: The M.I.T. Press.
Ulichney, R. A. 1988. Dithering with blue noise. Proc. IEEE, 76: 56–79.
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© 1999 Springer-Verlag Berlin Heidelberg
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Koenderink, J.J., van Doorn, A.J. (1999). Blur and Disorder. In: Nielsen, M., Johansen, P., Olsen, O.F., Weickert, J. (eds) Scale-Space Theories in Computer Vision. Scale-Space 1999. Lecture Notes in Computer Science, vol 1682. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-48236-9_1
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DOI: https://doi.org/10.1007/3-540-48236-9_1
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