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To determine whether color matching theory used in the paint industry
can also be used in or adapted to the screen printing industry.
This project is best suited for one student.
To print line drawings, such as company logos, on glass and
ceramics, screen printers mix pigments in certain ratios for each
color in the image. Each of these mixtures is then dissolved, and the
image is printed on transfer material in several stages (one stage for
every color). Finally, the transfer material is put on the object,
which is then heated to about 800 degrees centigrade to fix the image
to the object.
Color matching is the process of determining the ratios of pigments
in a mixture such that it will result in a desired color. In practice,
this is done by printers using their experience and trial-and-error.
If, for example, a color proof is too red, reduce the amount of red
pigment, and try again.
It would be very convenient if the color of a mixture of pigments
could be computed from the reflectivity curves (i.e., the fraction of
light that is reflected, for all wavelengths in the visible range of
the spectrum) of the primary pigments. If one can do this, one can
also solve the color matching problem using standard optimization
techniques (e.g., a hill climber, or simulated annealing). An exact
match is not alway possible; in that case, one wants to determine a
color that is sufficiently close to the desired color (according to a
standard color difference function).
Unfortunately, the color of a mixture is not simply the (weighted)
average of the colors of the primary pigments in one of the many color
models (RGB, CMYK, CIE-XYZ, CIE-Lab, ...). This is explained by
Kubelka and Munk, who developed a theory for color mixing and matching
in 1932. Their theory is still applied by the painting industry today.
It is unknown to what degree the Kubelka-Munk theory applies to
screen printing (the fact that inks are heated to about 800 degrees
centigrade may or may not have an inpact on the resulting color), and
experiments have to be done to establish this.
One paper, explaining the Kubelka-Munk theory and its application to
color matching must be studied. Next, measurements of spectral
reflectivity curves must be taken from inks both from primary pigments
and from mixtures. Using for instance a spreadsheet, the differences
between the theoretical and the experimentally verified spectral
reflectivity curves need to be established. If the differences are
within predetermined error bounds, the conclusion is that the
Kubelka-Munk theory applies to screen printing as well. In that case,
further experiments are needed to do a sensitivity analysis (i.e., how
does a small error in the proportion of primary pigments affect the
resulting color). Otherwise, the data has to be analyzed further to
see whether the differences between theoretical curves of the mixtures
and actual measurements are systematic. The results should be written
up in a report.
Not specified.
René van Oostrum
contact:
René van Oostrum
Last Changed: Jan 3, 2003
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