Abstract
The paper gives a short account of a new model for asymmetric colour matching. It generalizes affine models previously proposed in the literature, starting from Walraven’s (1976) “discounting the background” principle. The characteristic feature of the model proposed is that it allows different v.Kries-type multiplicative transformations for increments and decrements. Due to the qualitative laws implied, the model is particularly attractive from a measurement-theoretic ‘Grassmannian’ perspective. Some empirical and theoretical aspects of the model are briefly discussed.
This work has been supported by DFG grant MA 1025/2-1.
Bitnet-Earn UPS128 at DBNRHRZ1.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Burnham, R.W., Evans, R.W., & Newhall, S.M. (1957). Prediction of Color Appearance with Different Adaptation Illuminations. Journal of the Optical Society of America, 47, 35–42.
Grassmann, H. (1853). Zur Theorie der Farbmischung. Poggendorff’s Annalen der Physilç 89, 69–84.
Hess, C., & Pretori, H. (1894). Messende Untersuchungen über die Gesetzmäßigkeit des simultanen Helligkeitskontrastes. Gräfes Archiv für Ophtalmologie, 40, 1–24.
Jacobson, A., & Gilchrist, A. (1988). Hess and Pretori Revisited: Resolution of Some Old Contradictions. Perception & Psychophysics, 43, 7–14.
Jameson, D., & Hurvich, L.M. (1972). Color Adaptation: Sensitivity, Contrast, After-Images. In D. Jameson & L.M. Hurvich (Eds.), Handbook of Sensory Physiology, 568–881. Heidelberg: Springer.
Krantz, D.H. (1968). A Theory of Context Effects Based on Cross-Context Matching. Journal of Mathematical Psychology, 5, 1–48.
Krantz, D.H. (1974). Measurement Theory and Qualitative Laws in Psychophysics. In D.H. Krantz, R.C. Atkinson, R.D. Luce, & P. Suppes (Eds.), Contempory Developments in Mathematical Psychology. VoLIL Measurement, Psychophysics, and Neural Information Processing; 160–199. San Francisco: Freeman.
Krantz, D.H. (1975a). Color Measurement and Color Theory: I. Representation Theorem for Grassmann Structures. Journal of Mathematical Psychology, 12, 283–303.
Krantz, D.H. (1975b). Color Measurement and Color Theory. II: Opponent-Colors Theory. Journal of Mathematical Psychology, 12, 283–303.
Land, E.H. (1986). Recent Advances in Retinex Theory. Vision Research, 26, 7–21.
Larimer, J. (1981). Red/Green Opponent Colors Equilibria Measured on Chromatic Adapting Fields: Evidence for Gain Changes and Restoring Forces. Vision Research, 21, 501–512.
Mausfeld, R. & Niederée, R. (1989a). Inquiries Into Relational Colour Theory I. A Relational Colour Space Based Upon a Principle of Incremental Colour Coding. Bonner Methoden Berichte, 6, 21. Bonn: Psychologisches Institut (To be submitted for publication).
Mausfeld, R. & Niederée, R. (1989b). An Incremental Octant-wise Linear Model for Asymmetric Matching Based on an Extended Grassmann Structure: A Measurement Theoretic Analysis. Bonner Methoden Berichte, 6, 22. Bonn: Psychologisches Institut. (To be submitted for publication).
Schrödinger, E. (1920). Grundlinien einer Theorie der Farbenmetrik im Tagessehen. Annalen der Physik, 63, 397–426, 427–456, 481–520.
Shevell, S.K. (1978). The Dual Role of Chromatic Backgrounds in Color Perception. Vision Research, 18, 1649–1661.
Wallach, H. (1948). Brightness Constancy and the Nature of Achromatic Colors. Journal of Experimental Psychology, 38, 310–324.
Walraven, J. (1976). Discounting the Background–The Missing Link in the Explanation of Chromatic Induction. Vision Research, 16, 289–295.
Whittle, P. & Challands, P. D. C. (1969). The Effect of Background Luminance on the Brightness of Flashes. Vision Research, 9, 1095–1110.
Wyszecki, G., & Stiles, W.S. (1982). Color Science. Concepts and Methods, Quantitative Data and Formulae. ( 2nd Edition ). New York: Wiley.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1989 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Mausfeld, R., Niederée, R. (1989). A Generalized “Discounting the Background” Model Extending the Traditional Grassmannian Approach to Colour Vision. In: Roskam, E.E. (eds) Mathematical Psychology in Progress. Recent Research in Psychology. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-83943-6_11
Download citation
DOI: https://doi.org/10.1007/978-3-642-83943-6_11
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-51686-6
Online ISBN: 978-3-642-83943-6
eBook Packages: Springer Book Archive