Abstract
We observe a non-Gaussian heavy tailed distribution for the non-linear filter
applied to the chromacity channel ’U’ (and equivalently to ’V’) on individual natural colour images in the colour space YUV. We fit a Generalised Gaussian Distribution (GGD) to the histogram of the filter response, and observe the shape parameter (α) to lie within the range 0 < α< 2, but rarely α> 1.
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Huang, J., Mumford, D.: Statistics of Natural Images and Models. In: Proc. IEEE Conference on Computer Vision and Pattern Recognition, Fort Collins, CO, vol. 1, pp. 541–547 (1999)
Mallat, S.G.: A Theory for Multiresolution Signal Decomposition: The Wavelet Representation. IEEE Trans. Pattern Anal. Machine Intell. 11, 674–693 (1989)
Mumford, D.: Empirical Investigations into the Statistics of Clutter and the Mathematical Models it Leads To, Lecture for the Review of ARO Metric Pattern Theory Collaborative, Brown Univ., Providence, RI (2000)
Wainwright, M.J., Simoncelli, E.P., Willsky, A.S.: Random Cascades on Wavelet Trees and their use in Analysing and Modelling Natural Images. Appl. Comput. Harman, Anal. 11, 89–123 (2001)
Field, D.J.: Relations between the Statistics of Natural Images and the Response Properties of Cortical Cells. J. Opt. Amer. 4(12), 2379–2394 (1987)
Olshausen, B.A., Field, D.J.: Natural Image Statistics and Efficient Coding, New. Computation Neural syst. 7 (1996)
Srivastava, A.: Stochastic Models for Capturing Image Variability. IEEE Signal Procesing Magazine 19(5), 63–76 (2002)
Levin, A., Lischinski, D., Weiss, Y.: Colorization using optimization. ACM Transactions on Graphics 23(3), 689–694 (2004)
Caselles, V., Coll, B., Morel, J.M.: Geometry and color in natural images. Journal of Mathematical Imaging and Vision 16(2), 89–105 (2002)
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Balinsky, A., Mohammad, N. (2009). Non-linear Filter Response Distributions of Natural Colour Images. In: Trémeau, A., Schettini, R., Tominaga, S. (eds) Computational Color Imaging. CCIW 2009. Lecture Notes in Computer Science, vol 5646. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-03265-3_11
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DOI: https://doi.org/10.1007/978-3-642-03265-3_11
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-03264-6
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