RGB och HSB (HSV) - Härledning av ekvationer

Sida: 1 2 3 4 5 6 7 8

The saturation has a value between 0 and 1 and changes horizontally.

S =

1 - S =

Saturation remains constant vertically:

Step 1. Moving from a pure color (S: 1, B:1) to white (S: 0, B:1)

The distance between the RGB at saturation (S): 0 and saturation (S): 1 can be calculated as follows:

To predict the RGB code when the saturation (S) changes:

Step 2. MOVING FROM ALMOST WHITE (0 < S) TO PURE COLOR

Calculation of R', G', B' (S:1, B:1) by using eq.5:

Step 3. EQUATION COMBINATION

Plugging Eq.6 into the original equation (Eq.5)

Displacement of saturation when brightness is equal or less than 100%.

Step 1 & 2. Determination of point C by using point A as a starting point:

Step 3. Determination of point D by using point C as a starting point

- Moving from C to D can be obtained by combining equations 3 and 8.
- The answers tells which equation is needed to predict D from A.

The expression:
(A) Is valid when the colors are within the same
hue range.
(B) Predicts the RGB code for horizontal
changes.
(C) B Initial = B Final

HOW TO PREDICT THE RGB FINAL REGARDLESS OF LOCATION

The expression:
(A) Is valid when the colors are within the same
hue range.
(B) Predicts the RGB code for horizontal and
vertical changes.

CALCULATION OF RGB MAX, INTERMEDIATE AND MIN

The expression:
(A) Is valid when the colors are within the same hue range.
(B) Predicts the RGB code for horizontal and vertical changes.