Spectral Modeling of a Six-Color Inkjet Printer

After customizing an Epson Stylus Photo 1200 by adding a continuous-feed ink system and a cyan,magenta,yellow,black,orange and green ink set, a series of research tasks were carried out to build a full spectral model of the printers output. First, various forward printer models were tested using the fifteen two color combinations of the printer. YuleNielsen-spectral-Neugebauer (YNSN) was selected as the forward model and its accuracy tested throughout the colorant space. It was found to be highly accurate, performing as well as a more complex local, cellular version. Next, the performance of nonlinear optimization-routine algorithms were evaluated for their ability to efficiently invert the YNSN model. A quasi-Newton based algorithm designed by Davidon, Fletcher and Powell (DFP) was found to give the best performance when combined with starting values produced from the non-negative least squares fit of single-constant Kubelka-Munk. The accuracy of the inverse model was tested and different optimization objective functions were evaluated. A multistage objective function based on minimizing spectral RMS error and then colorimetric error was found to give highly accurate matches with low metameric potential. Finally, the relationship between the number of printing inks and the ability to eliminate metamerism was explored.

[1]  Di-yuan Tzeng,et al.  Spectral-Based Ink Selection for Multiple-Ink Printing I. Colorant Estimation of Original Objects , 1998, CIC.

[2]  Roy S. Berns,et al.  A Comparative Analysis of Spectral Reflectance Reconstruction in Various Spaces Using a Trichromatic Camera System , 1999, CIC.

[3]  R. Berns,et al.  Error propagation analysis in color measurement and imaging , 1997 .

[4]  Thomas F. Coleman,et al.  Optimization Toolbox User's Guide , 1998 .

[5]  Roy S. Berns,et al.  Spectral Color Reproduction Based on Six-Color Inkjet Output System , 2001, International Conference on Communications in Computing.

[6]  P. G. Engeldrum,et al.  An expanded Murray-Davies model of tone reproduction in halftone imaging , 1995 .

[7]  Peter D. Burns,et al.  Analysis Multispectral Image Capture , 1996, CIC.

[8]  Noboru Ohta,et al.  Spectral reproduction from scene to hardcopy: II. Image processing , 2000, IS&T/SPIE Electronic Imaging.

[9]  Raja Bala,et al.  Accuracy of Various Types of Neugebauer Model , 1993, CIC.

[10]  Roy S. Berns,et al.  Pigment Identification of Artist Materials Via Multi-Spectral Imaging , 2001, Color Imaging Conference.

[11]  A. Murray.  Monochrome reproduction in photoengraving , 1936 .

[12]  M. Rosen,et al.  Lippman 2000: a spectral image database under construction , 1999 .

[13]  Peter G. Engeldrum,et al.  Modeling the Yule-Nielsen halftone effect , 1996 .

[14]  Noboru Ohta,et al.  Principal Component Analysis of Spectral Images Based on the Independence of the Color Matching Function Vectors , 2001 .

[15]  Roy S. Berns,et al.  Spectral Estimation Using Trichromatic Digital Cameras , 1999 .

[16]  Gary G. Field,et al.  Principles of Color Reproduction , 2001 .

[17]  Roy S. Berns,et al.  Challenges for Color Science in Multimedia Imaging , 1998 .

[18]  Di-yuan Tzeng,et al.  Spectral Based Ink Selection for Multiple-Ink Printing II. Optimal Ink Selection , 2000, Color Imaging Conference.

[19]  R. Berns.  Billmeyer and Saltzman's Principles of Color Technology , 2000 .

[20]  Mark D. Fairchild,et al.  Color Management within a Spectral Image Visualization Tool , 2000, Color Imaging Conference.

[21]  Akihiro Ito,et al.  Optimization of probability Model for Color Halftone by Macroscopic Spectral Reflectance , 1999, PICS.

[22]  Shuxue Quan,et al.  Optimization of Camera Spectral Sensitivities , 2000, CIC.

[23]  Roy S. Berns,et al.  The Science of Digitizing Paintings for Color-Accurate Image Archives : A Review , 2001 .

[24]  Peter D. Burns,et al.  Multispectral-based color reproduction research at the Munsell Color Science Laboratory , 1998, Other Conferences.

[25]  Mark D. Fairchild,et al.  Computer Synthesis of Spectroradiometric Images for Color Imaging Systems Analysis , 1998, Color Imaging Conference.

[26]  Francisco H. Imai,et al.  Multi-spectral Image Acquisition and Spectral Reconstruction using a Trichromatic Digital Camera System associated with absorption filters PART VIII General Discussion , 1998 .

[27]  J. Arney.  A probability description of the Yule-Nielsen effect, I : Tone reproduction and image quality in the graphic arts , 1997 .

[28]  Roy S. Berns,et al.  A Critical Review of Spectral Models Applied to Binary Color Printing , 2000 .

[29]  Roy S. Berns,et al.  High-Resolution Multi-Spectral Image Archives: A Hybrid Approach , 1998, CIC.

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

[31]  Tuo Wu,et al.  Modeling the Yule-Nielsen Effect on Color Halftones , 1997, Color Imaging Conference.

[32]  M. Fairchild,et al.  Statistical Characterization of Spectral Reflectances in Human Portraiture , 2001, CIC.

[33]  Nitin Sampat,et al.  Sensors and Camera Systems for Scientific, Industrial, and Digital Photography Applications , 2000 .

[34]  Roy S. Berns,et al.  Spectral modeling of a dye diffusion thermal transfer printer , 1993, J. Electronic Imaging.

[35]  Mark D. Fairchild,et al.  Full-Spectral Color Calculations in Realistic Image Synthesis , 1999, IEEE Computer Graphics and Applications.

[36]  S. Debra,et al.  Multichannel analysis of object-color spectra , 1994 .

[37]  Noboru Ohta,et al.  Answering Hunt's Web Shopping Challenge: Spectral Color Management for a Virtual Swatch , 2001, Color Imaging Conference.

[38]  Shuxue Quan,et al.  Digital camera filter design for colorimetric and spectral accuracy , 2001 .

[39]  Mark D. Fairchild,et al.  Evaluation of Bispectral Spectrophotometry for Accurate Colorimetry of Printing Materials , 2000, CIC.

[40]  H. S. Fairman,et al.  Metameric correction using parameric decomposition , 1987 .

[41]  Roy S. Berns,et al.  Colorimetric characterization of a desktop drum scanner using a spectral model , 1995, J. Electronic Imaging.

[42]  Di-yuan Tzeng,et al.  Spectral-Based Six-Color Separation Minimizing Metamerism , 2000, Color Imaging Conference.

[43]  R. Berns,et al.  A Comparative Analysis of Spectral Reflectance Estimated in Various Spaces Using a Trichromatic Camera System , 2000, Journal of Imaging Science and Technology.

[44]  Jonathan Arney,et al.  A probability description of the Yule-Nielsen effect. II : The impact of halftone geometry : Tone reproduction and image quality in the graphic arts , 1997 .

[45]  Peter D. Burns,et al.  ANALYSIS OF IMAGE NOISE IN MULTISPECTRAL COLOR ACQUISITION , 1997 .

[46]  Peter D. Burns,et al.  Quantization in Multispectral Color Image Acquisition , 1999, Color Imaging Conference.

[47]  R. Berns,et al.  Building color-management modules using linear optimization. I. Desktop color system , 1998 .

[48]  Roy S. Berns,et al.  Comparison of Spectrally Narrow-Band Capture Versus Wide-Band with a Priori Sample Analysis for Spectral Reflectance Estimation , 2000, CIC.

[49]  Di-yuan Tzeng.  Spectral-based color separation algorithm development for multiple-ink color reproduction , 1999 .

[50]  Roy S. Berns,et al.  Multi-spectral Imaging of a van Gogh's Self-portrait at the National Gallery of Art Washington DC , 2001, PICS.

[51]  Roy S. Berns,et al.  Building color management modules using linear optimization. II. Prepress system for offset printing , 1998 .

[52]  Lindsay William Macdonald,et al.  Colour Imaging: Vision and Technology , 1999 .

[53]  Roy S. Berns,et al.  Spectral reproduction from scene to hardcopy: I. Input and output , 2001, IS&T/SPIE Electronic Imaging.

[54]  D. C. Rich,et al.  Billmeyer and Saltzman's principles of color technology, 3rd edition , 2001 .

[55]  A. Iserles.  Numerical recipes in C—the art of scientific computing , by W. H. Press, B. P. Flannery, S. A. Teukolsky and W. T. Vetterling. Pp 735. £27·50. 1988. ISBN 0-521-35465-X (Cambridge University Press) , 1989, The Mathematical Gazette.

[56]  R. Berns,et al.  Multiple Pigment Selection for Inpainting Using Visible Reflectance Spectrophotometry , 2002 .

[57]  Charles L. Lawson,et al.  Solving least squares problems , 1976, Classics in applied mathematics.