Computational Color Science by Edoardo Provenzi

Author:Edoardo Provenzi [Неизв.]
Language: eng
Format: epub
ISBN: 9781119407430
Publisher: John Wiley & Sons, Inc.
Published: 2017-04-18T12:33:10+00:00

4.2. Interpretation of Caselles–Sapiro’s functional for histogram equalization

Interpretation of the energy functional Ehist eq(I) in terms of image features is crucial for the following chapter. As stated previously, we can write Thus, the minimization of is achieved through the minimization of D(I) and the maximization of C(I).

The meaning of the two functional terms is as follows:

− is called global quadratic dispersion around the middle gray level , which is minimized when I(x) ≡ for all x ∈ Ω; that is, the minimization of this term tends to turn I into an uniform gray image;

– C(I) is called global contrast whose maximization corresponds to the maximization of the global contrast of the image I, expressed by the set of absolute differences |I(x) − I(y)|.

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