### Optimum Parameter Estimation of Tone Mapping Operators by Natural Image Statistics

#### Abstract

In this paper, we propose a method that optimizes the parameters of tone mapping operators by compressing the dynamic range of HDR images using natural image statistics.First, a prior probability model of a natural image is constructed for color natural images based on a generalized Gaussian distribution.Then, an LDR image is generated by converting the HDR image using the tone mapping operator. Next, we generate a normalized histogram of the LDR image using a discrete wavelet transformation.Finally, the optimal parameters of the tone mapping operator are estimated by minimizing the Kullbuck--Leibler divergence of the probability density function and the normalized histogram.Using these parameters, it is possible to generate an LDR image that closely resembles the natural image.

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P. E. Debevec, and J. Malik, “Recovering high dynamic range radiance maps from photographs”, In Proceedings of SIGGRAPH’97, pp.369–378, 1997.

F. Darago, K. Myszkowski, T. Annen, and N. Chiba, “Adaptive logarithmic mapping for displaying high contrast scenes”, Computer Graphics Forum, vol.3, pp.419–426, 2003.

J. Tumblin and, G. Turk, “LCIS: A boundary hierarchy for detail-preserving contrast reduction”, In Proceedings of SIG- GRAPH’99, pp.83–90, 1999.

E. Reinhard, M. Stark, P. Shirley, and J. Ferwerda, “Photographic tone reproduction for digital images”, In Proceedings of SIGGRAPH’02, vol.21, no.3, pp.267–276, July 2002.

R. Fattal, D. Lischinski, and M. Werman, “Gradient domain high dynamic range compression”, In Proceedings of SIG- GRAPH’02, vol.21, pp.249–256, 2002.

A.Morinaga, K.Hara, K.Inoue and K.Urahama, “Classification between natural and graphics images based on generalized Gaussian distributions”, Information Processing Letters (IPL), no.138, pp.31–34, Oct 2018.

G.E.P.Box and G.C.Tiao, “BayesianInferenceinStatistical Analysis”, John Wiley & Sons, New York, 1992.

D.W. Scott, “On optimal and data-based histograms”, Biometrika, vol.66, no.3, pp.605–610, 1979.

DOI: https://doi.org/10.12792/jiiae.7.106

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Online edition: ISSN 2187-8811 Print edition: ISSN 2188-1758