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Midway Image Equalization

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Abstract

Midway image equalization means any method giving to a pair of images the same histogram, while maintaining as much as possible their previous grey level dynamics. In this paper, we present an axiomatic analysis of image equalization which leads us to derive two possible methods. Both methods are then compared in theory and in practice for two reliability criteria, namely their effect on quantization noise and on the support of the Fourier spectrum. A mathematical analysis of the properties of the methods is performed. Their algorithms are described and they are tested on such typical pairs as satellite image stereo pairs and different photographs of a same painting.

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References

  1. I. Cox, S. Roy, and S.L. Hingorani, "Dynamic histogram warping of images pairs for constant image brightness," IEEE Int. Conf. on Image Processing, Vol. 2, pp. 366–369, 1995.

    Google Scholar 

  2. D.C. Gonzalez and R.E. Woods, Digital Image Processing, AddisonWesley Publishing Company, 1993.

  3. M. Kuczma, B. Choczewski, and R. Ger, Iterative Functional Equations, Encyclopedia of Mathematics and its Applications, Cambridge University Press, 1990.

  4. W. Metzger, Gesetze des Sehens, Waldemar Kramer, 1975.

  5. B. Rougé, Théorie de la chaîne image et restauration d'image optique à bruit final fixé, Mémoire d'habilitation à diriger des recherches, 1997.

  6. X.-D. Yang, Q. Xiao, and H. Raafat, "Direct mapping between histograms: An improved interactive image enhancement method," in IEEE Int. Conf. on Systems, Man and Cybernetics, 1991, pp. 243–247.

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Delon, J. Midway Image Equalization. Journal of Mathematical Imaging and Vision 21, 119–134 (2004). https://doi.org/10.1023/B:JMIV.0000035178.72139.2d

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  • DOI: https://doi.org/10.1023/B:JMIV.0000035178.72139.2d

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