Color Reproduction in DLP Projector using Hue Shift Model according to Additional White Channel

화이트 채널 추가에 따른 색상이동모델를 이용한 DLP 프로젝터의 색 재현

  • Park, Il-Su (School of Electronics Engineering, Kyungpook National University) ;
  • Ha, Ho-Gun (School of Electronics Engineering, Kyungpook National University) ;
  • Ha, Yeong-Ho (School of Electronics Engineering, Kyungpook National University)
  • Received : 2011.12.23
  • Accepted : 2012.06.04
  • Published : 2012.07.25

Abstract

This paper models the hue shift phenomenon and proposes a hue correction method to give perceptual matching between projector with and without additional white channel. To quantify the hue shift phenomenon for whole hue angle, 24 color patches with the same lightness are frist created along equally-spaced hue angle, and these are displayed one by one both displays with different luminance levels. Next, each hue value of the patches appeared on the projector with additional white channel is adjusted by observers until the hue values of patches on both displays appear the same visually. After obtaining the hue shift values from the color matching experiment, these values are piecewise fit into six polynomial functions, which approximately determine shifted hue amounts for an arbitrary hue values of each pixel in projector with additional white channel and are utilized to correct them. Actually, an input RGB image is converted to CIELAB LCH color space to get hue values of each pixel and this hue value is shifted as much as the amount calculated by the functions of hue shift model for correction. Finally, corrected image is inversely converted to an output RGB image. For an evaluation, the matching experiment with several test images and the z-score comparisons were performed.

본 논문은 추가적인 화이트 채널을 사용한 프로젝터와 사용하지 않은 프로젝터간의 매칭 실험을 통하여 색상이동 현상을 모델링하였고, 색상을 수정하는 방법을 제안하였다. 전체 색상 값에 대해 색상이동현상을 정량화하기 위하여, 동일한 밝기와 채도 값을 유지하여 24개의 색상 패치 값을 생성하여 이를 화이트를 추가한 상태와 추가하지 않은 상태에서 투영하였다. 다음으로 각각의 패치에 대해 화이트를 추가 하지 않은 상태와 동일한 색상으로 인지되도록 화이트를 추가한 상태의 색상 값을 변경하였다. 색상 매칭 실험을 통하여 얻은 색상 이동 값을 6개의 구간으로 나누어 4차 방정식을 이용하여 수식화하여 임의의 색상 값에 대한 색상 이동 값을 추정하였고, 색상 값을 수정하는 위하여 사용하였다. 실제로, 입력 RGB 영상은 각각의 픽셀에 대해 CIELAB LCH 색 공간으로 변경하여 각각의 픽셀의 색상 값을 계산하였다. 이 색상 값은 추정된 색상이동량을 이용하여 수정하게 된다. 최종적으로 결과 RGB 영상은 역 과정으로 변환하였다. 제안한 방법을 평가하기 위하여 여러 가지 테스트 영상을 이용하여 매칭 실험을 수행하였고 이를 z-scores를 이용하여 비교하였다.

Keywords

References

  1. Ralph W. Pridmore, "Effect of Purity on Hue (Abney Effect) in Various Conditions," Color Research & Application, vol. 32, no. 1, pp. 25-39, Feb. 2007. https://doi.org/10.1002/col.20286
  2. W. de W. Abney, ''On the change in hue of spectrum colours by dilution with white light,'' Proc. R. Soc. London 183, 120-127 (1910).
  3. S. M. Newhall, "Preliminary report of the O.S.A. subcommittee on the spacing of the Munsell colors," J. Opt. Soc. Am. 30, pp. 617-645, 1940. https://doi.org/10.1364/JOSA.30.000617
  4. A. R. Robertson, "A new determination of lines of constant hue," AIC Color 69, pp.395-402, 1970.
  5. D. R. Wyble and M. R. Rosen, "Color management of four-primary digital light processing projectors," Journal of Imaging Science and Technology, vol. 50, no. 1, pp. 17-24, Jan. 2006. https://doi.org/10.2352/J.ImagingSci.Technol.(2006)50:1(17)
  6. B. Bastani, B. Funt and R. Ghaffari, "End-User DLP Projector Colour Calibration," Tenth Congress of the International Colour Association AIC Colour, 2005.
  7. T. C. Hseue, Y. C. Shen, P. C. Chen, W. H. Hsu, and Y. T. Liu, "Cross-media erformance evaluation of color models for unequal luminance levels and dim surround," Color Research and Application, vol. 23, no.3, pp. 169-177. June 1998. https://doi.org/10.1002/(SICI)1520-6378(199806)23:3<169::AID-COL9>3.0.CO;2-O
  8. M. D. Fairchild ,Color Appearance Models second edition, John Wiley & Sons, 2005.
  9. R. L. Heckamane and M. D. Fairchild, "Effect of DLP projector white channel on perceptual gamut," Journal of the SID, vol. 14, no. 9, pp. 755-761, Set. 2006.
  10. D. M. Purdy, "Spectral hue as a function of intensity," Am. J. Psych, 43, pp. 541-559, 1931. https://doi.org/10.2307/1415157
  11. M. Ayama, T. Nakatsue, and P. K. Kaiser, "Constant hue loci of unique and binary balanced hues at 10, 100, and 1000 td," J. Opt. Soc. Am. A4, pp. 1136-1144, 1987.