Logarithmic Method¶

This saturation model is inspired by the concept of color integrity(1), which works with color in terms of intensity ratios, where intensity is a value of the luminosity function , rather than brightness, or the numerical value of the sample in the image file. From this viewpoint, it is natural to define the saturation of a color as the ratio of maximum and minimum intensities of its primary components. In order, however, to make saturation an additive value and to endow the -strength parameter with the semantics of a multiplier, it is convenient to operate on the logarithm of that ratio. The addition of such saturations acquires physical sense, and multiplication corresponds to the raising of intensity to the power of the multiplier.

With this method, pamaltsat raises the intensity of each component to the power of the strength value. Since the total intensity of the resulting color will differ from that of the original, it is necessary to restore the intensity by multiplying the component intensities of the saturated color by the ratio of the intensity of the original color to that of the saturated color.

Although it is always possible to decrease saturation by any given factor, there are two cases where it cannot be increased. When the total intensity (or brightness) of a color is too high for the desired saturation, pamaltsat applies the maximum possible saturation that keeps the original intensity. For example, any color with at least one component at the maxiumum is already fully saturated. When one of the primary components is zero, the definition of saturation given above no longer works because of a zero in the denominator. pamaltsat offers no special treatment of this situation because it does not create discontinuities and therefore produces no visible defects at reasonable strength levels. When, however, strength approaches infinity, each color tends to its primary component with the highest intensity.

This method was invented by Anton Shepelev.

Spectral Method¶

This is the default method. It treats color as a spectrum with three bands: one for the intensity of each primary component. Since neutral gray has a uniform (constant) spectrum, saturation can be measured as the difference of the spectrum of the given color from the uniform spectrum of the same total intensity. The spectral method uses one of the simplest measures of such a difference: the difference between the highest and lowest component intensities, which is an additive value and therefore amenable to multiplication with good physical sense. Although a complete hue-saturation model can be dervied from this approach, pamaltsat need not concern itself with it because it always preserves both hue and total intensity.

In order to change saturation, pamaltsat first multiplies the intensity of each component by the desired strength. The saturation of the result is the strength times the saturation of the original, and likewise the total intensity, but it is then restored by subtraction of the neutral gray with a suitable intensity.

The effect of this method on each component intensity may be expressed in the following equation:

    sat = orig * strength - Iorig * (strength - 1)

The method is also related to color integrity because both its operations are part of that concept: multiplication of component intensities by the same quotient is an important operation because changes brightness but keeps color balance, and subtraction of a constant from all component intensities is described by the inventor of color integrity as 'subtraction of white.'

This procedure may produce both negative and over-unity component intensities. For such samples, pamaltsat decreases the strength to the highest value that keeps the resulting color in range.

This method was invented by Anton Shepelev.