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3.4.1. CHECKING THE MODEL OF COLOR VISION

Lecture



Before continuing to study the process of color equalization, it is useful to check whether the results of the experiments and the color adjustment axioms are consistent with the color vision model discussed in section. 2.5. In this model, the response of the three types of receptors with spectral sensitivities   3.4.1.  CHECKING THE MODEL OF COLOR VISION ,   3.4.1.  CHECKING THE MODEL OF COLOR VISION ,   3.4.1.  CHECKING THE MODEL OF COLOR VISION represented by the following values:

  3.4.1.  CHECKING THE MODEL OF COLOR VISION , (3.4.6a)

  3.4.1.  CHECKING THE MODEL OF COLOR VISION , (3.4.6b)

  3.4.1.  CHECKING THE MODEL OF COLOR VISION . (3.4.6b)

If the observer sees an equivalent mixture of primary colors, not the original color   3.4.1.  CHECKING THE MODEL OF COLOR VISION , then replacing the spectral density   3.4.1.  CHECKING THE MODEL OF COLOR VISION equivalent spectral density, defined by the relation (3.4.4), should not lead to changes in cone signals   3.4.1.  CHECKING THE MODEL OF COLOR VISION . Consequently,

  3.4.1.  CHECKING THE MODEL OF COLOR VISION , (3.4.7a)

  3.4.1.  CHECKING THE MODEL OF COLOR VISION , (3.4.7b)

  3.4.1.  CHECKING THE MODEL OF COLOR VISION . (3.4.7b)

Determining the coefficients

  3.4.1.  CHECKING THE MODEL OF COLOR VISION , (3.4.8)

You can rewrite relations (3.4.7) more compactly in matrix form.

  3.4.1.  CHECKING THE MODEL OF COLOR VISION (3.4.9)

or even shorter as

  3.4.1.  CHECKING THE MODEL OF COLOR VISION . (3.4.10)

The vectors and matrices included in this relation are defined by expressions (3.4.7) - (3.4.9). It should be noted that for a given set of primary colors and reference white color matrix elements   3.4.1.  CHECKING THE MODEL OF COLOR VISION and   3.4.1.  CHECKING THE MODEL OF COLOR VISION turn out to be constant values. Therefore, if the signals are known cones   3.4.1.  CHECKING THE MODEL OF COLOR VISION for a given color   3.4.1.  CHECKING THE MODEL OF COLOR VISION then assuming that there is a matrix   3.4.1.  CHECKING THE MODEL OF COLOR VISION color coordinates   3.4.1.  CHECKING THE MODEL OF COLOR VISION can be calculated by the formula

  3.4.1.  CHECKING THE MODEL OF COLOR VISION . (3.4.11)

Thus, with a suitable choice of values   3.4.1.  CHECKING THE MODEL OF COLOR VISION any colour   3.4.1.  CHECKING THE MODEL OF COLOR VISION may be replaced with an equivalent mixture of primary colors; at the same time signals of cones will remain unchanged. Unfortunately, these signals are difficult to measure, so the relation (3.4.11) cannot be used to directly calculate the color coordinates. But this was not the goal of the above conclusion. On the contrary, the relation (3.4.11) is derived in order to show the consistency of the results of experiments on the equalization of colors with the color vision model.

created: 2015-06-10
updated: 2021-03-13
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Digital image processing

Terms: Digital image processing