Abstract
The color logarithmic image processing (CoLIP) is a mathematical framework for the representation and processing of color images. It is psychophysically well justified since it is consistent with several human visual perception laws and characteristics. It is mathematically and computationally relevant since it allows to consider color images as vectors in an abstract linear space, contrary to the classical color spaces (e.g., RGB and \(L^*a^*b^*\)). The first purpose of this chapter is to present the mathematical fundamentals of the CoLIP together with its main psychophysical connections (Grasmann’s law, color matching functions, chromaticity diagram, and the Maxwell triangle). The second purpose is to present some basic image processing and analysis techniques for contrast enhancement (histogram equalization, dynamic range maximization, and toggle contrast calculation), white balance correction, color transfer, K-means clustering, and filtering. Most of them are applied on various original color images in a comparative way between CoLIP, RGB, and \(L^*a^*b^*\) color spaces.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Notes
- 1.
by Jerker Wågberg, More Research and DPC, www.more.se.
References
Angulo, J.: Morphological colour operators in totally ordered lattices based on distances: Application to image filtering, enhancement and analysis. Comput. Vision Image Underst. 107(1–2), 56–73 (2007)
Aptoula, E., Lefèvre, S.: A comparative study on multivariate mathematical morphology. Pattern Recognit. 40(11), 2914–2929 (2007)
Aytekin, O., Ulusoy, I.: Automatic segmentation of VHR images using type information of local structures acquired by mathematical morphology. Pattern Recognit. Lett. 32(13), 1618–1625 (2011)
Barnett, V.: The ordering of multivariate data. J. R. Stat. Soc. Ser. A. 139(3), 318–354 (1976)
Bouraoui, B., Ronse, C., Baruthio, J., Passat, N., Germain, P.: 3D segmentation of coronary arteries based on advanced mathematical morphology techniques. Comput. Med. Imag. Graph. 34(5), 377–387 (2010)
Deng, G.: A generalized logarithmic image processing model based on the gigavision sensor model. IEEE Trans. Image Process. 21(3), 1406–1414 (2012)
Fairchild, M.D.: Color Appearance Models. Wiley The Atrium (2013)
Fechner, G.T.: Elemente der Psychophysik. Breitkopf und Härtel, Leipzig (1860)
Fechner, G.: Elements of Psychophysics, vol.1. Thoemmes Press, New York (1966). Traduction by E. G. Boring and by H. E. Adler
Fernandes, M., Gavet, Y., Pinoli, J.C.: Improving focus measurements using logarithmic image processing. J. Microsc. 242(3), 228–241 (2011). doi:10.1111/j.1365-2818.2010.03461.x
Florea, C., Florea, L.: Parametric logarithmic type image processing for contrast based auto-focus in extreme lighting conditions. Int. J. Appl. Math. Comput. Sci. 23(3), 637–648 (2013)
Florea, C., Vertan, C., Florea, L.: Logarithmic model-based dynamic range enhancement of hip x-ray images. In: Blanc-Talon, J., Philips,W., Popescu, D., Scheunders, P. (eds.) Advanced Concepts for Intelligent Vision Systems, pp.587–596. Springer, Berlin (2007)
Gonzalez, R.C., Woods, R.E.: Digital Image Processing, 2nd ed. Prentice Hall (2002)
González-Castro, V., Debayle, J., Pinoli, J.C.: Color adaptive neighborhood mathematical morphology and its application to pixel-level classification. Pattern Recognit. Lett. 47:50–62 (2014)
Gordon, I.: Theories of Visual Perception, 3rd ed. Psychology Press (2004).
Gouinaud, H.: Traitement logarithmique d’images couleur. Ph.D. thesis, École Nationale Supérieure des Mines de Saint-Etienne (2013)
Gouinaud, H., Gavet, Y., Debayle, J., Pinoli, J.C.: Color correction in the framework of color logarithmic image processing. In: Proceedings of the 7th IEEE International Symposium on Image and Signal Processing and Analysis (ISISPA), pp. 129–133. Dubrovnik, Croatia (2011)
Grassmann, H.: Zur theorie der farbenmischung. Annalen der Physik. 165(5), 69–84 (1853)
Hering, E.: Outlines of a Theory of the Light Sense. Harvard University Press Cambridge (1964). ( Trans. L. M. Hurvich and D. Jameson)
Jourlin, M., Pinoli, J.C.: Logarithmic image processing. Acta Stereologica. 6, 651–656 (1987)
Jourlin, M., Pinoli, J.C.: Image dynamic range enhancement and stabilization in the context of the logarithmic image processing model. Signal Process. 41(2), 225–237 (1995). doi:10.1016/0165-1684(94)00102-6. URL http://dx.doi.org/10.1016/0165-1684(94)00102-6
Jourlin, M., Breugnot, J., Itthirad, F., Bouabdellah, M., Closs, B., et al.: Logarithmic image processing for color images. Adv. Imag. Electron. Phys. 168(2):65–107 (2011)
Kaur, M., Kaur, J., Kaur, J.: Survey of contrast enhancement techniques based on histogram equalization. (IJACSA) Int. J. Adv. Comput. Sci. Appl. 2(7) (2011)
Kreyszig, E.: Introductory Functional Analysis with Applications, vol.81. Wiley New York (1989)
Krueger, L.E.: Reconciling fechner and stevens: Toward a unified psychophysical law. Behav. Brain Sci. 12, 251–267 (1989). doi: 10.1017/S0140525X0004855X
MacQueen, J., et al.: Some methods for classification and analysis of multivariate observations. In: Proceedings of the fifth Berkeley symposium on mathematical statistics and probability, vol.1, pp. 281–297. California, USA (1967)
Matheron, G.: Random Sets and Integral Geometry. Wiley (1975)
Maxwell, J.C.: Theory of the perception of colors. Trans. R. Scottish Soc. Arts. 4, 394–400 (1856)
Navarro, L., Deng, G., Courbebaisse, G.: The symmetric logarithmic image processing model. Digit. Signal Process. 23(5), 1337–1343 (2013)
Oleari, C., Pavesi, M.: Grassmann’s laws and individual color-matching functions for non-spectral primaries evaluated by maximum saturation technique in foveal vision. Color Res. Appl. 33(4), 271–281 (2008). doi:10.1002/col.20421. URL http://dx.doi.org/10.1002/col.20421 http://dx.doi.org/10.1002/ http://dx.doi.org/10.1002/col.20421 col.20421
Oppenheim, A.S., Stockham, R., et al.: Nonlinear filtering of multiplied and convolved signals (1968)
Panetta, K.A., Wharton, E.J., Agaian, S.S.: Human visual system-based image enhancement and logarithmic contrast measure. IEEE Transac. Syst. Man Cybern. Part B 38(1), 174–188 (2008)
Pinoli, J.C.: Contribution à la modélisation, au traitement et à l’analyse d’image. Ph.D. thesis, Département de Mathématiques, Université de Saint-Etienne, France (1987)
Pinoli, J.C.: The logarithmic image processing model: Connections with human brightness perception and contrast estimators. J. Math. Image. Vis. 7(4), 341–358 (1997)
Pinoli, J.C.: Mathematical Foundations of Image Processing and Analysis, vol.2. Wiley (2014)
Priya, S., Kumar, T., Paul, V.: A novel approach to fabric defect detection using digital image processing. In: Signal Processing, Communication, Computing and Networking Technologies (ICSCCN), 2011 International Conference on, pp. 228–232 (2011)
Ramponi, G., Strobel, N., Mitra, S.K., Yu, T.H.: Nonlinear unsharp masking methods for image-contrast enhancement. J. Electron. Imag. 5(3), 353–366 (1996)
Serra, J.: Image Analysis and Mathematical Morphology. Academic Press (1982)
Sharma, G., Bala, R.: Digital Color Imaging Handbook. CRC press Boca Raton (2002)
Shvayster, H., Peleg, S.: Inversion of picture operators. Pattern Recognit. Lett. 5(1), 49–61 (1987)
Soille, P.: Morphological Image Analysis Principles and Applications. Springer, New York (2003)
Sternberg, S.R.: Grayscale morphology. Comput. Vis. Graph. Image Process. 35(3), 333–355 (1986)
Stockman, A., Mollon, J.: The spectral sensitivities of the middle-and long-wavelength cones: an extension of the two-colour threshold technique of ws stiles. Perception. 15, 729–754 (1986)
Svaetichin, G.: Spectral response curves from single cones. Acta. Physiol. Scand. Suppl. 39(134), 17–46 (1956)
Tuia, D., Pacifici, F., Kanevski, M., Emery, W.: Classification of very high spatial resolution imagery using mathematical morphology and support vector machines. IEEE Trans. Geosci. Remote Sens. 47(11), 3866–3879 (2009)
von Kries, J.: Die gesichtsempfindungen. Handbuch der physiologie des menschen. 3:109–282 (1905)
Vorobel, R.A.: Logarithmic image processing. part 1: Basic model. Inf. Extr. Process. 107(31), 26–35 (2009)
Vorobel, R.A.: Logarithmic image processing. part 2: generalized model. Inf. Extr. Process. 107(31), 36–46 (2009)
Vos, J., Walraven, P.: On the derivation of the foveal receptor primaries. Vis. Res. 11(8), 799–818 (1971). doi:10.1016/0042-6989(71)90003-4
Weber, E.: Der Tastsinn und das Gemeingefühl. Handwörterbuch der Physiologie. 3(2):481–588 (1846)
Wyszecki, G., Stiles, W.S.: Color science, vol.8. Wiley, New York (1982)
Young, T.: The bakerian lecture: On the theory of light and colours. Philosophical transactions of the Royal Society of London. pp.12–48 (1802)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2015 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Gavet, Y., Debayle, J., Pinoli, JC. (2015). The Color Logarithmic Image Processing (CoLIP) Antagonist Space. In: Celebi, E., Lecca, M., Smolka, B. (eds) Color Image and Video Enhancement. Springer, Cham. https://doi.org/10.1007/978-3-319-09363-5_6
Download citation
DOI: https://doi.org/10.1007/978-3-319-09363-5_6
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-09362-8
Online ISBN: 978-3-319-09363-5
eBook Packages: EngineeringEngineering (R0)