Integer programming for optimal reduction of calibration targets

Color Research and Application

Volumn 33, Issue 3, 2008, Pages 212-220

  Alsam, Ali ^a,b   Finlayson, Graham ^a  

^a NORWEGIAN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Norway)

^b National Gallery   (United Kingdom)

Author keywords

Calibration; Camera; Targets

Indexed keywords

CALIBRATION; CAMERAS; COLOR; INTEGER PROGRAMMING; MATRIX ALGEBRA;

COLORIMETRIC CALIBRATION; QUADRATIC MINIMIZATION;

COLORIMETRY;

EID: 42949084659     PISSN: 03612317     EISSN: 15206378     Source Type: Journal    
DOI: 10.1002/col.20402     Document Type: Article

References (28)

1. Kang HR. Color scanner calibration. J Imaging Sci Technol 1992; 36:162-170.
2. Sharma G, Trussell H. Characterization of scanner sensitivity. IS&T/ SID Color Imaging Conference. Springfield, VA: IS&T, 1993 p 103-107.
3. Finlayson G, Hordley S. Recovering device sensitivities with quadratic programming. IS&T/SID Sixth Color Imaging Conference. Springfield, VA: IS&T, 1998. p 90-95.
4. Alsam A, Finlayson GD. Recovering spectral sensitivities with uncertainty. In The First European Conference on Color in Graphics, Imaging and Vision, 2002. p 22-26.
5. Hardeberg JY, Brettel H, Schmitt F. Spectral characterization of electronic cameras. In Electronic Imaging, Processing, Printing, and Publishing in Color, Zurich, Switzerland: SPIE Proceedings 3409, 1998. p 100-109.
6. Golub GH, van Loan CF. Matrix Computations. Baltimore, MD: Johns Hopkins University Press; 1989.
7. Cormen TH, Leiserson CE, Rivest RL. Introduction to Algorithms, first edition, Cambridge, MA: MIT Press and McGraw-Hill; 1990, ISBN 0-262-03141-8
8. Alsam A, Hardeberg JY. Convex reduction of calibration charts. In Color Imaging X, Processing, Hardcopy, and Applications, San Jose, California: SPIE Proceedings 5667, 2005. p 38-46.
9. Parkkinen J, Hallikainen J, Jaaskelainen T. Characteristic spectra of Munsell colors. J Opt Soc Am 1989;6:318-322.
10. Smith B, Spiekermann C, Sember R. Numerical methods for colorimetric calculations: Sampling density requirements. Color Res Appl 1992;17:394-401.
11. Wyszecki G, Stiles WS. Color Science: Concepts and Methods, Quantitative Data and Formulae, 2nd edition. New York: Wiley; 1982.
12. Vora PL, Trussell HJ. Measure of goodness of a set of color scanning filters. J Opt Soc Am A 1993;10:1499-1508.
13. Johnson T. Methods for characterizing colour scanners and digital cameras. Displays 1996;16:183-191.
14. Finlayson G, Drew MS. Constrained least-squares regression in color spaces. J Electron Imaging 1997;6:484-493.
15. Finlayson GD, Morovic P. Intensity constrained error-less colour correction. IS&T/SID 12th Color Imaging Conference, Springfield, VA: IS&T, 2004. p 106-110.
16. Hansen PC. Rank-Deficient and Discrete Ill-Posed Problems: Numerical Aspects of Linear Inversion, Philadelphia, PA: Society for Industrial and Applied Mathematics, 1999.
17. Alsam A. Optimising Spectral Calibration. PhD. Thesis, University of East Anglia, School of Information Systems, 2004.
18. Cohen J. Dependency of the spectral reflectance curves of the munsell color chips. Psychonomic Sci 1964;1:369-370.
19. Maloney LT. Evaluation of linear models of surface spectral reflectance with small numbers of parameters. J Opt Soc Am A 1986; 3:1673-1683.
20. Morovic P. Metamer Sets. PhD. Thesis, University of East Anglia, School of Information Systems, 2002.
21. Buchsbaum G, Bloch O. Color categories revealed by non-negative matrix factorization of munsell color spectra. J Vis Res 2002;42: 559-563.
22. Alsam A, Hardeberg JY. Optimal colorant design for spectral colour reproduction. The 12th IS&T/SID Color Imaging Conference. Springfield, VA: IS&T, 2004. p 157-162.
23. Lee DD, Seung HS. Algorithms for non-negative matrix factorization. Adv Neural Inform Process Syst 2001;13:556-562.
24. Mendenhall W, Wackerly DD, Scheaffer RL. Mathematical Statistics with Applications, 4th edition. Boston, MA: PWS-KENT Publishing Company; 1990.
25. Brill MH, Finlayson G, Hubel P, Thornton WA. Prime colors and color imaging. In Sixth SID/IS&T Color Imaging Conference, Springfield, VA: IS&T, 1998. p 33-42.
26. O'Rourke J. Computational Geometry, 2nd edition. Cambridge: Cambridge University Press; 1998.
27. Fraleigh JB, Beauregard RA, Katz VJ. Linear Algebra, 3rd edition. Addison-Wesley Pub Co; 1994.
28. Winston WL, Venkataramanan M. Introduction to Mathematical Programming: Applications and Algorithms, 4th edition. Thomson Brooks Cole; 2002.