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A Generalized “Discounting the Background” Model Extending the Traditional Grassmannian Approach to Colour Vision

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Mathematical Psychology in Progress

Part of the book series: Recent Research in Psychology ((PSYCHOLOGY))

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.

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© 1989 Springer-Verlag Berlin Heidelberg

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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

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  • 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

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