On 2015 Sep 29, Lydia Maniatis commented:
No matter how much I tried, I found it impossible to stabilise a sense of how the authors are defining and/or and evaluating photometric effect and geometric effect. The definitions are not straightforward and completely tied to the specific conditions and datasets:
Photometric effect: "The data separate by color in the plots with the separation increasing with the difference between upper and lower plane context illuminant. We refer to this as a photometric effect because, across illuminant context conditions, the geometry is held constant."
Geometric effect: "Finally, there is a geometric effect: The lightness of the probe tab changes as it is moved from the in-plane to the out-plane orientation."
And the analysis: "We quantified the photometric effect for each illuminant change condition as the mean difference between the matches for all probe tabs whose immediate surround was primarily the lower context plane and all matches whose immediate surround was primarily the upper context plane. We quantified the geometric effect for each illuminant change condition as follows. First, we found the slope of the line connecting the pair of data points for each background plane and illuminant change condition (the slopes of the red lines shown in Figure 3; slopes represented in units of change in log10 match reflectance per 90° of tab angle rotation). We then took as a measure of the geometric effect for each illuminant change condition the average of the upper and lower context plane slopes."
The vagueness of the title is explained.
Prizes to anyone who finds this statement intelligible: "Interestingly, the magnitudes of the photometric and geometric effects covaried with the changes in photometric context as revealed by the fact that both scaled linearly with the magnitude of the illuminant change. This is a form of independence: We only need to know the slope of each line to predict the sizes of the photometric and geometric effects for any illuminant change. To put it another way, the relationship between photometric and geometric effects is independent of the size of the illuminant change."
Conclusion: A surface that appears coplanar with a darker one/shadowed will appear lighter than a surface that appears coplanar with a lighter one, but the retinal background will also have some effect. A trivial and predictable result that is almost impossible to make out in this convoluted presentation.
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