Currently, CIE Standard Observer colorimetry is quantified throughout in terms physical unit stimulus cause. By contrast, unit visual effect is a psychophysical (or subjective) phenomenon which cannot be directly measured and has no well-defined scalar basis. It is however possible to construct scalar models by reference to colour difference. The intent therefore is to explore a range of theoretically possible unit visual effect definitions by this route. As far as possible the unit must have constant intra-dimensional value and equivalent value across all dimensions of the chosen scalar basis. In my RG 2004 post “A Mathematical Basis for Colorimetric Models” I introduce the concept of a three-dimensional “Grassmann Structure” which is in effect an ideal colour space, with axiomatically specified L C H (Lightness Chroma and Hue) basis-vectors. I then quantify experimentally derived LCH data using a unique triplet of mapping functions that are optimized by reference to my Grassmann reference space.. In my RG 2009 post ” Notes Toward a Verifiable Vector Algebraic Basis for Colorimetric Modeling” and my 2010 Thesis ” Selected Papers on Colorimetric Theory and Colour Modeling”, I introduce the use of greyscale tracking as a method for equating scalar value across the scalar basis of the defining functions; and finally in my RG 2016 post “Vector Based Modelling of Colour Difference A Pilot Study of the DE2000 Colour Difference Model” I apply my analytical approach to the most recent colour difference model.
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