You get a bonus - 1 coin for daily activity. Now you have 1 coin

3.5. COORDINATE COLOR TRANSFORMATION

Lecture



From expressions (3.4.7) it follows that the set of primary colors can be chosen in many ways. If color coordinates are known for one set of primary colors, then a simple coordinate transformation can be used to find color coordinates for another set [16]. Let be   3.5.  COORDINATE COLOR TRANSFORMATION ,   3.5.  COORDINATE COLOR TRANSFORMATION ,   3.5.  COORDINATE COLOR TRANSFORMATION there is an initial set of primary colors with spectral densities   3.5.  COORDINATE COLOR TRANSFORMATION ,   3.5.  COORDINATE COLOR TRANSFORMATION ,   3.5.  COORDINATE COLOR TRANSFORMATION . Intensities Equalizing Reference White   3.5.  COORDINATE COLOR TRANSFORMATION denote by   3.5.  COORDINATE COLOR TRANSFORMATION ,   3.5.  COORDINATE COLOR TRANSFORMATION and   3.5.  COORDINATE COLOR TRANSFORMATION . Consider now another set of primary colors.   3.5.  COORDINATE COLOR TRANSFORMATION ,   3.5.  COORDINATE COLOR TRANSFORMATION ,   3.5.  COORDINATE COLOR TRANSFORMATION having spectral densities   3.5.  COORDINATE COLOR TRANSFORMATION ,   3.5.  COORDINATE COLOR TRANSFORMATION ,   3.5.  COORDINATE COLOR TRANSFORMATION . Reference white color   3.5.  COORDINATE COLOR TRANSFORMATION which may differ from the original reference white   3.5.  COORDINATE COLOR TRANSFORMATION equalized with intensities   3.5.  COORDINATE COLOR TRANSFORMATION ,   3.5.  COORDINATE COLOR TRANSFORMATION ,   3.5.  COORDINATE COLOR TRANSFORMATION new colors. Arbitrary color   3.5.  COORDINATE COLOR TRANSFORMATION has coordinates   3.5.  COORDINATE COLOR TRANSFORMATION ,   3.5.  COORDINATE COLOR TRANSFORMATION ,   3.5.  COORDINATE COLOR TRANSFORMATION for the initial set of primary colors and   3.5.  COORDINATE COLOR TRANSFORMATION ,   3.5.  COORDINATE COLOR TRANSFORMATION ,   3.5.  COORDINATE COLOR TRANSFORMATION for a new set. From the formula (3.4.10) you can get the matrix ratio

  3.5.  COORDINATE COLOR TRANSFORMATION . (3.5.1)

Let us now establish the units of measurement for the new color coordinates. Taking instead of color   3.5.  COORDINATE COLOR TRANSFORMATION new reference white color   3.5.  COORDINATE COLOR TRANSFORMATION will get

  3.5.  COORDINATE COLOR TRANSFORMATION , (3.5.2)

Where   3.5.  COORDINATE COLOR TRANSFORMATION . Then substituting the new primary colors into the ratio (3.5.1)   3.5.  COORDINATE COLOR TRANSFORMATION ,   3.5.  COORDINATE COLOR TRANSFORMATION ,   3.5.  COORDINATE COLOR TRANSFORMATION , will have

  3.5.  COORDINATE COLOR TRANSFORMATION , (3.5.3a)

  3.5.  COORDINATE COLOR TRANSFORMATION , (3.5.3b)

  3.5.  COORDINATE COLOR TRANSFORMATION , (3.5.3b)

Where

  3.5.  COORDINATE COLOR TRANSFORMATION ,   3.5.  COORDINATE COLOR TRANSFORMATION ,   3.5.  COORDINATE COLOR TRANSFORMATION .

The joint solution of the system of matrix equations (3.5.1), (3.5.2) and (3.5.3) gives the required relationship between the color coordinates for the original and the new sets of primary colors:

  3.5.  COORDINATE COLOR TRANSFORMATION (3.5.4)

You can rewrite the relation (3.5.4) using the chromaticity coordinates   3.5.  COORDINATE COLOR TRANSFORMATION ,   3.5.  COORDINATE COLOR TRANSFORMATION ,   3.5.  COORDINATE COLOR TRANSFORMATION New primary colors in the coordinate system of the original primary colors. In this case

  3.5.  COORDINATE COLOR TRANSFORMATION , (3.5.5)

Where

  3.5.  COORDINATE COLOR TRANSFORMATION ,

  3.5.  COORDINATE COLOR TRANSFORMATION ,

  3.5.  COORDINATE COLOR TRANSFORMATION ,

  3.5.  COORDINATE COLOR TRANSFORMATION ,

  3.5.  COORDINATE COLOR TRANSFORMATION ,

  3.5.  COORDINATE COLOR TRANSFORMATION ,

  3.5.  COORDINATE COLOR TRANSFORMATION ,

  3.5.  COORDINATE COLOR TRANSFORMATION ,

  3.5.  COORDINATE COLOR TRANSFORMATION ,

  3.5.  COORDINATE COLOR TRANSFORMATION ,

  3.5.  COORDINATE COLOR TRANSFORMATION ,

  3.5.  COORDINATE COLOR TRANSFORMATION ,

  3.5.  COORDINATE COLOR TRANSFORMATION .


Comments


To leave a comment
If you have any suggestion, idea, thanks or comment, feel free to write. We really value feedback and are glad to hear your opinion.
To reply

Digital image processing

Terms: Digital image processing