Figures of merit for color scanners

In the design and evaluation of color scanners and cameras, it is useful to have a single figure of merit that closely agrees with perceived color accuracy. In the past, several measures of goodness for color scanning filters have been proposed to fulfil such a requirement. Most of the proposed measures have had shortcomings in that they are either based on error metrics in color spaces that are not perceptually uniform, or in that they do not take into account the effects of measurement noise. An extension of the most promising measure, based on linearized CIELAB space, is proposed to obtain a new figure of merit that has a high degree of perceptual relevance and also accounts for the varying noise performance of different filters. The paper also provides a common framework for the different figures of merit and a comprehensive comparison of their computational complexity and reliability.

[1]  Berthold K. P. Horn Exact reproduction of colored images , 1983, Comput. Vis. Graph. Image Process..

[2]  Jan P. Allebach,et al.  Optimization of sensor response functions for colorimetry of reflective and emissive objects , 1995, Proceedings., International Conference on Image Processing.

[3]  H. Neugebauer Quality Factor for Filters Whose Spectral Transmittances are Different from Color Mixture Curves, and Its Application to Color Photography* , 1956 .

[4]  H. Joel Trussell,et al.  Filter considerations in color correction , 1992, Electronic Imaging.

[5]  H. Joel Trussell,et al.  Optimal color filters in the presence of noise , 1995, IEEE Trans. Image Process..

[6]  Po-chieh Hung,et al.  Colorimetric calibration for scanners and media , 1991, Electronic Imaging.

[7]  Brian A. Wandell,et al.  Scanner linearity , 1993, J. Electronic Imaging.

[8]  H. Joel Trussell,et al.  Measure of goodness of a set of color-scanning filters , 1993 .

[9]  Henry R. Kang Color scanner calibration , 1992 .

[10]  Gaurav Sharma,et al.  Optimal nonnegative color scanning filters , 1998, IEEE Trans. Image Process..

[11]  Henry R. Kang Color scanner calibration of reflected samples , 1992 .

[12]  Ron Gershon,et al.  Measurement and Analysis of Object Reflectance Spectra , 1994 .

[13]  H. Joel Trussell,et al.  Color Filter Design For Multiple Illuminants and Detectors , 1995, Color Imaging Conference.

[14]  Jan P. Allebach,et al.  Optimization of sensor response functions for colorimetry of reflective and emissive objects , 1994, Electronic Imaging.

[15]  J. Magnus,et al.  Matrix Differential Calculus with Applications in Statistics and Econometrics (Revised Edition) , 1999 .

[16]  Sarah A. Rajala,et al.  Comparison Of Measures Of Goodness Of Sets Of Color Scanning Filters , 1996 .

[17]  Hideaki Haneishi,et al.  Colorimetric Precision in Scanner Calibration Using Matrices , 1995, International Conference on Communications in Computing.

[18]  Gunther Wyszecki,et al.  Color Science: Concepts and Methods, Quantitative Data and Formulae, 2nd Edition , 2000 .