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The printer calibration process, providing a 3D lookup-table for the conversion from CIELAB to CMY.

The printer calibration process, providing a 3D lookup-table for the conversion from CIELAB to CMY.

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We propose a color management system for the color facsimile. It consists of protocols for the colorimetric calibration of the scanner and the printer by establishing the relationships between the device-dependent color coordinates and the device-independent CIELAB color space. The scanner calibration is based on 3rd order polynomial regression tec...

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Citations

... regularly. Vrhel and Trussel [7] (1999) presented the mathematical formulation of calibrating color scanners and found that the mapping from scanned values to colorimetric values is nonlinear. They applied artificial neural network for calibration, then compared this method with other calibration methods based on a test performed with 264 samples. Hardeberg et al (1996) propose an analytic method based on 3 rd order polynomial regression techniques[8]. They used CIE color space values and scanned values of 288 parts of the IT8.7/2 color calibration card. They found out that the polynomial regression delivers better results than other methods. Finlayson and Drew (1997) mentioned that the color values me ...
... They applied artificial neural network for calibration, then compared this method with other calibration methods based on a test performed with 264 samples. Hardeberg et al (1996) propose an analytic method based on 3 rd order polynomial regression techniques[8]. They used CIE color space values and scanned values of 288 parts of the IT8.7/2 color calibration card. ...
... Nous retrouvons des articles utilisant la régression polynomiale et d'autres approches non-linéaire avec notamment l'utilisation d'un réseau de neurone pour eectuer la régression. Nous citons les articles suivants en ce qui concerne la régression polynomiale : [Hardeberg et al., 1996], [Kang, 1997], [Hardeberg, 2001] et [Yilmaz et al., 2004]. Les diérents articles se distinguent par les diérentes mires utilisées. ...
... Ils mettent en évidence que la méthode donne des résultats convaincants mais que le degré du polynôme inue sur la précision des couleurs. Par exemple, dans l'article de Hardeberg et al [Hardeberg et al., 1996], ils mettent en avant que l'utilisation d'un polynôme de degré 3 est plus pertinent qu'un polynôme de degré 2 pour le cas de la mire it8 qui est une mire composée de 290 patchs. Par la suite, nous retrouvons dans sa thèse [Hardeberg, 2001] que la précision de la transformation est très inuencée par la correction gamma. ...
Thesis
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... To convert the camera output signals to deviceindependent data, two main approaches are proposed and evaluated. One consists of applying an extended version of the colorimetric scanner characterization method proposed previously 24,[30][31][32] to convert from K different color channels (KϾ3) to a 3-D color space such as CIEXYZ or CIELAB. Another method is based on a modified spectral model of the acquisition system. ...
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... This confirms the results obtained for flatbed scanners in previous research. 24,[30][31][32] A possible extension to improve further the results would be to use nonlinear regression methods also with KϾ3 filters. One would need to make sure that the number of patches of the color chart remains larger than the number of parameters of the model, however. ...
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... The proposed characterization technique based on an empirical model provides a practical tool to transform colors between any two color spaces, for example between scanner RGB space and printer CMY. In a color management application, it is preferred to connect the device-dependent color representations to some deviceindependent color space [11][12][13][14] . We have chosen the CIELAB space 15 for this purpose since it is used extensively both in literature and industry. ...
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... We now adress the problem of how to use these camera responses. A first approach is to define a direct colorimetric transformation from the camera responses c K into for example the CIELAB space [12] under a given illuminant, minimising typically the root mean square error, in a way similar to what is often done for conventional three-channel image acquisition devices [13]. Given an appropriate regression model, this is found to give quite satisfactory results in terms of colorimetric errors [14]. ...
... We hence obtainr from r throughr = Q 1 c K = Q 1 t r = Q 1 t Ra: (11) Inserting Equations (10) and (11) into the expression r =r gives Q 1 t Ra = Ra: (12) Assuming that R is a good representation of the reflectances that will be encountered, Equation (12) should be true for any a, and hence Q 1 t R = R: (13) This gives then the reconstruction operator minimising the RMS spectral error by a pseudoinverse approach as ...
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... Then we analyze colorimetrically the printed chart to obtain the CIELAB values corresponding to each sample. This analysis can be done with either i) a desktop scanner properly calibrated, 8 or ii) a colorimeter, or better, iii) a spectrophotometer if available. Brettel et al. 9 propose a versatile spectrophotometer for this purpose. ...
... This is typically done either i) directly for all pixels of an image to be printed, or ii) for all the vertices of a regular grid composing a CIELABto-CMY 3D lookup-table which can be stored in a device profile and further used by a color management system (CMS). 8,15 The tetrahedron T P that encloses the input CIELAB point P is located using a 'walking' algorithm. If T P belongs to the surrounding structure, then P is an out-ofgamut point. ...
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We propose a method for the colorimetric characterization of a printer which can also be applied to any other type of digital image reproduction device. The method is based on a computational geometry approach. It uses a 3D triangulation technique to build a tetrahedral partition of the printer color gamut volume and it generates a surrounding structure enclosing the definition domain. The characterization provides the inverse transformation from the deviceindependent color space CIELAB to the device-dependent color space CMY, taking into account both colorimetric properties of the printer, and color gamut mapping.
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