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A quantitative measurement of binocular fusion for achromatic and chromatic colors

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Abstract

The stereo image consisting of an achromatic image and a chromatic image (mixed stereo pair) can be fused as a three-dimensional (3D) color scene by human observers. It is said that the color in the scene is less vivid than in the chromatic image; however, there is little quantitative measurement for the color degradation. In this paper, we carried out a binocular color matching experiment on a stereoscopic display, and the binocular fusion of achromatic and chromatic colors is quantitatively measured. On an equal lightness plane of the CIELAB color space, the achromatic stimulus was presented to one eye, and the chromatic stimuli with different chromas (3 chroma levels) on different color directions (8 hues) were presented to the other eye. Then, the binocular fusion of two colors received by the two eyes was recorded by the matching experiment. Results show that when one eye is given a gray stimulus and the other eye is given a color stimulus, observers can always fuse the two stimuli. For chromatic stimuli with chroma 8, the perceived chromas degenerate to half of the chromatic patch, and for chromatic stimuli with chroma 12 and 16, the perceived chromas have significant difference on different color directions. However, the interaction between chroma and hue variations was not significant in the results of the 2-way ANOVA, it suggests that there is no difference in the variations across the color directions among the chromas.

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Data availability

Data underlying the results presented in this paper are not publicly available at this time but may be obtained from the authors upon reasonable request.

References

  1. Batavia, P.H., Singh, S.: Obstacle detection using adaptive color segmentation and color stereo homography. In: Proc. IEEE Int. Conf. on Robotics and Automation. (2001)

  2. Siegel, M., Tobinaga, Y., Akiya, T.: Kinder gentler stereo. Proc. SPIE-Int. Soc. Opt. Eng. 3639, 18–27 (1999)

    ADS  Google Scholar 

  3. Sethuraman, A.J.S., Siegel, M.: Multiresolution based hierarchical disparity estimation for stereo image pair compression. In: Akansu, A. (eds) Proc. Symp on application of subbands and wavelets. IEEE (1994)

  4. Termin, Y., Kaminka, G.A.: Color stereoscopic images requiring only one color image. Opt. Eng. 46, 087003 (2007)

    Article  ADS  Google Scholar 

  5. Hecht, S.: On the binocular fusion of colors and its relation to theories of color vision. Proc. Natl. Acad. Sci. USA 14, 237–241 (1928)

    Article  ADS  Google Scholar 

  6. Erkelens, C.J., Ee, R.V.: Multi-coloured stereograms unveil two binocular colour mechanisms in human vision. Vision. Res. 42, 1103–1112 (2002)

    Article  Google Scholar 

  7. Simmons, D.R.: Binocular color matching. In: Luo, R. (ed.) Encyclopedia of color science and technology, pp. 1–9. Springer, Berlin Heidelberg (2014)

    Google Scholar 

  8. Wade, N.J., Wenderoth, P.: The influence of colour and contour rivalry on the magnitude of the tilt after-effect. Vision Res. 20, 229–233 (1978)

    Article  Google Scholar 

  9. Hovis, J.K.: Review of dichoptic color mixing. Optom. Vis. Sci. 66, 181–190 (1989)

    Article  Google Scholar 

  10. Kingdom, F.A.A., Libenson, L.: Dichoptic color saturation mixture: binocular luminance contrast promotes perceptual averaging. J. Vis. 15, 2–2 (2015)

    Article  Google Scholar 

  11. Lu, C., Fender, D.H.: The interaction of color and luminance in stereoscopic vision. Invest. Ophthalmol. 11, 482 (1972)

    Google Scholar 

  12. Shevell, S.K., Miller, P.R.: Color perception with test and adapting lights perceived in different depth planes. Vision Res. 36, 949 (1996)

    Article  Google Scholar 

  13. Dinstein, I., Kim, M., Henik, A.,Tselgov, J.: Compression of stereo images using subsampling and transform coding. Optical Eng. 30, 1359 (1991)

    Article  ADS  Google Scholar 

  14. Liu, H., Chen, K., Xiong, Q., Shi, J., Chen, Z.: An experimental study on binocular color fusion in 3d displays. In: Kountchev, R., Patnaik, S., Shi, J., Favorskaya, M. (eds.) 3D image and graphics representation, analysis, computing and information technology, vol. 180, pp. 459–465. Springer, Singapore (2020)

    Google Scholar 

  15. Shi, J.S.: Accuracy of colorimetric characterization and effect of black point for CRT monitor. Acta Optica Sinica 27, 371–376 (2007)

    Google Scholar 

  16. Simmons, D.R., Kingdom, F.A.A.: Contrast thresholds for stereoscopic depth identification with isoluminant and isochromatic stimuli. Vision Res. 34, 2971 (1994)

    Article  Google Scholar 

  17. Woods, A.: Understanding crosstalk in stereoscopic displays. In: Three-dimensional systems & applications, 2010)

  18. ITU: Guidelines on metrics to be used when tailoring television programmes to broadcasting applications at various image quality levels. In: Display sizes and aspect ratios, (ITU-R Rec. BT.1845-1, 2010).

  19. WMA: Ethical principles for medical research involving human subjects. Eur. J. Emerg. Med. 107, 221–223 (2013)

    Google Scholar 

  20. Xiong, Q., Chen, K., Liu, H., Shi, J., Chen, Z.: A quantitative measurement of binocular fusion limit in stereoscopic display. In: Kountchev, R., Patnaik, S., Shi, J., Favorskaya, M. (eds.) 3D image and graphics representation, analysis, computing and information technology, vol. 180. Springer, Singapore (2020)

    Google Scholar 

  21. Chen, Z., Tai, Y., Shi, J., Zhang, J., Yun, L.: Changes in binocular color fusion limit caused by different disparities. IEEE Access (2019). https://doi.org/10.1109/ACCESS.2019.2918785

    Article  Google Scholar 

  22. Yong, J.J., Sohn, H., Lee, S.I., Yong, M.R., Park, H.W.: Quantitative measurement of binocular color fusion limit for non-spectral colors. Opt. Express 19, 7325–7338 (2011)

    Article  ADS  Google Scholar 

  23. Baker, D.H., Wallis, S.A., Georgeson, M.A., Meese, T.S.: Nonlinearities in the binocular combination of luminance and contrast. Vision. Res. 56, 1–9 (2012)

    Article  ADS  Google Scholar 

  24. Anstis, S., Rogers, B.: Binocular fusion of luminance, color, motion and flicker—Two eyes are worse than one. Vision Res. 53, 47–53 (2012)

    Article  Google Scholar 

  25. Hubel, D.H., Wiesel, T.N.: Brain mechanisms of vision. Sci. Am. 241, 150 (1979)

    Article  Google Scholar 

  26. Damin, Q., Mamoru, T., Yoshio, N., Xiaolin, Q.: Change of wavelength difference limit for binocular color fusion with wavelength and brightness of stimuli. J. Light Visual Environ. 30, 43–45 (2006)

    Article  Google Scholar 

  27. Ding, J., Sperling, G.: A gain-control theory of binocular combination. Proc. Natl. Acad. Sci. USA 103, 1141–1146 (2006)

    Article  ADS  Google Scholar 

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Acknowledgements

Thanks to the National Science Foundation of China for helping identify collaborators for this work.

Funding

National Science Foundation of China (61865015, 62165019, 61875171).

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Authors and Affiliations

  1. School of Information Science and Technology, Yunnan Normal University, Kunming, Yunnan, China

    Zaiqing Chen, Hui Liu & Qi Xiong

  2. Yunnan Key Laboratory of Optoelectronic Information Technology, Kunming, Yunnan, China

    Zaiqing Chen, Hui Liu, Qi Xiong, Xiaoqiao Huang, Yonghang Tai & Junsheng Shi

  3. Yunnan Forestry Technological College, Kunming, Yunnan, China

    Hui Liu

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  1. Zaiqing Chen
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  2. Hui Liu
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  3. Qi Xiong
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  5. Yonghang Tai
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  6. Junsheng Shi
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Correspondence to Zaiqing Chen or Xiaoqiao Huang.

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Chen, Z., Liu, H., Xiong, Q. et al. A quantitative measurement of binocular fusion for achromatic and chromatic colors. Opt Rev 30, 50–60 (2023). https://doi.org/10.1007/s10043-022-00786-5

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