Multispectral Imaging
.: Introduction :.
A multi-spectral camera was developed by the CRISATEL consortium in a
EU IST project 2001-2005. Hundred paintings conserved in several
museums were scanned by the C2RMF. It produces 13 very high definition
(12.000x20.000 pixels) image files after filtering of the reflected
light in short bandwidths (40 nanometres) to cover the visible
spectrum and the near infra-red (from 380 to 1050 nm). After the
corrections of the camera electronic noise, the CCD sensitivity, the
geometric size of the 13 images and the topographic heterogeneity of
the lighting, we can simulate a color image of the painting for any
lighting source by means of the spectral reflectance curves of each
pixel. With these experimental conditions, we are no more dependant of
the lighting source quality as it is with a RGB camera.
Why to use image processing to study canvas paintings in a museum
laboratory ? Because the computer screen visualisation of large size
image made at different wavelengths, allows us to locate information
at different level of depth in the paint layer. Near the ultra-violet
and the blue, the image correspond to the reflectance of the upper
layers of the painting (the varnish firs). Close to the red and in the
infra-red, the paint layer is partly transparent and we are able to
see the under-painting such as under-drawing. The development of tools
to examine by computer the same magnified area into the paint layer is
a new mode for interpretation of documents using false color imaging
or semi-transparency of couple of images.
.: Color Computation :.
As we write in the
GPU Spectral
Viewer section our goal here is to provide a specific image
processing tool for art preservation and analysis using reflectance
images. In this section we will describe all the basic colorimetric
computation used in
GPU Spectral
Viewer.
Color is the perceptual result of light in the visible region of the
spectrum, having wavelengths in the region of 380 nm to 780 nm. The
human retina has three types of color photoreceptor cells cone, which
respond to incident radiation with somewhat different spectral
response curves. Because there are exactly three types of color
photoreceptor, three numerical components are necessary and
theoretically sufficient to describe a color.
The CIE color standard is based on imaginary primary colors XYZ
i.e. which don't exist physically. These virtual primary colors have,
however, been selected so that all colors which can be perceived by
the human eye lie within this colour space. The XYZ system is based on
the response curves of the three color receptors of the eye's. Since
these differ slightly from one person to another person, CIE has
defined a "standard observer" whose spectral response corresponds more
or less to the average response of the population. This objectifies
the colorimetric determination of colors.
In our case we have to determine for each pixel of the multispectral
image the resulting XYZ value generated by the virtual light
interaction with the reflectance image using the following formulae:
Where R() is the reflectance spectrum and L() is the light spectrum
(used as illuminant).
In this application we introduced an other feature allowing varnish
removal using the transmittance properties of the varnish. The
CRISATEL project produce 13 planes images which correspond to the
following frequencies: 400, 440, 480, 520, 560, 600, 640, 680, 720,
760, 800, 900 and 1000nm. Only the 10 first planes interact with the
visible part of the light. Considering this, the
previous formulae become:
Using this formulae we can compute the resulting XYZ values for
each pixel of the source image. Of course, the obtained values are
only an approximation of the values that will be measured in front of
the original painting.
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