Abstract
In this paper, we study how to convert a color image to a grayscale image, and consider an effective contrast maximization method for color-to-grayscale conversion. Our method is based on the combination of red, green and blue channels pixel values. The optimization problem involves the maximization of the variance of the output grayscale image, the data-fitting term between the brightness of the input and output images. A regularization term is also added to make the resulting objective function to be convex and obtain a stable combination of red, green and blue pixel values. Experimental results on a set of benchmark color images are reported to demonstrate the effectiveness of the proposed method, and that its performance is better than those obtained by the other testing methods.
Notes
To obtain the optimal parameters, we can try different values of \(\tau \) and \(\mu \) to maximize the color contrast preserving ratio.
References
Bala, R., & Eschbach, R. (2004). Spatial color-to-grayscale transform preserving chrominance edge information. In Color imaging conference, pp. 82–86.
Čadík, M. (2008). Perceptual evaluation of color-to-grayscale image conversions. Pacific Graphics, 27(7), 1745–1754.
Gooch, A., Olsen, S., Tumblin, J., & Gooch, B. (2005). Color2gray: Salience-preserving color removal. ACM Transactions on Graphics, 24(3), 634–639.
Grundland, M., & Dodgson, N. A. (2007). Decolorize: Fast, contrast enhancing, color to grayscale conversion. Pattern Recognition, 40(11), 2891–2896.
Horn, R., & Johnson, C. (1985). Matrix analysis. Cambridge.
Hunter, R. (2008). Photoelectric color difference meter. Journal of the Optical Society of America, 48(12), 985–993.
Kim, Y., Jang, C., Demouth, J., & Lee, S. (2009). Robust color-to-gray via nonlinear global mapping. ACM Transactions on Graphics, 28(5), 161.
Kuhn, G. R., Oliveira, M. M., & Fernandes, L. A. F. (2008). An improved contrast enhancing approach for color to grayscale mappings. The Visual Computer, 24(7), 505–514.
Lu, C., Xu, L., & Jia, J. (2012). Contrast preserving decolorization. In IEEE international conference on computational photography (ICCP).
Neumann, L., Čadík, M., & Nemcsics, A. (2007). An efficient perceptionbased adaptive color to gray transformation. In Proceedings of computational aesthetics, pp. 73–80.
Qiu, M., Finlayson, G., & Qiu, G. (2008). Contrast maximizing and brightness preserving color to grayscale image conversion. In Proceedings of conference on colour in graphics, imaging and vision, pp. 347–351
Rafaj1owicz, E., & Rafaj1owicz, W. (2013). Control of linear extended nD systems with minimized sensitivity to parameter uncertainties. Multidimensional Systems and Signal Processing, 24, 637–656.
Rasche, K., Geist, R., & Westall, J. (2005a). Detail preserving reproduction of color images for monochromats and dichromats. IEEE Computer Graphics and Applications, 25(3), 22–30.
Rasche, K., Geist, R., & Westall, J. (2005b). Re-coloring images for gamuts of lower dimension. Computer Graphics Forum, 24(3), 423–432.
Smith, K., Asndes, P. E., & Jöelle Thollot, K. M. (2008). Apparent greyscale: A simple and fast conversion to perceptually accurate images and video. Computer Graphics Forum, 27(2), 193–200.
Varga, R. S. (2002). Matrix iterative analysis (2nd ed.). Berlin: Springer.
Wu, H. R., & Rao, K. R. (2001). Digital video image quality and perceptual coding. Boca Raton, FL: CRC Press.
Wyszecki, G., & Stiles, W. S. (2000). Colour science: Concepts and methods, quantitative data and formulae. Wiley Interscience.
Author information
Authors and Affiliations
Corresponding author
Additional information
The research is supported in part by the NSFC Grant 11101218 and the Natural Science Foundation for Colleges and Universities in Jiangsu Province (No. 11KJB110009). The research is supported in part by HKRGC Grant Number 202013 and HKBU FRGs.
Rights and permissions
About this article
Cite this article
Jin, Z., Ng, M.K. A contrast maximization method for color-to-grayscale conversion. Multidim Syst Sign Process 26, 869–877 (2015). https://doi.org/10.1007/s11045-014-0295-2
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11045-014-0295-2