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. 2011 Dec 14;2(9):1014–1034. doi: 10.1068/i0480

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Copyright © 2011 M Olkkonen, D H Brainard

This open-access article is distributed under a Creative Commons Licence, which permits noncommercial use, distribution, and reproduction, provided the original author(s) and source are credited and no alterations are made.

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Figure 8. — (a) The transitivity of the effects of light field and shape on perceived reflectance can be understood as follows. The arrow labeled A shows changes from the Grove light field to the Kitchen light field for the Blob shape, whereas the arrow labeled B shows changes from the Blob to the Pepper for the Kitchen light field. If transitivity holds, the effect of changing from Grove/Blob to Kitchen/Pepper (arrow E) should be the combination of the two separate effects (arrow A x arrow B). Note that a second transitivity prediction for arrow E may also be obtained by multiplying the slope obtained for the change from Blob to Pepper under the Grove light field and with the slope for the change from Grove to Kitchen for the Pepper. (b) If separability holds, the joint change of light field and shape (arrow E) should be a combination of changing the light field (arrow A) and changing the shape (arrow C) for the same reference stimulus (arrow A x arrow C). Note that a second separability prediction for arrow E may be obtained by multiplying the slope for the change for Blob to Pepper under the Kitchen light field with the slope for the change from Grove to Kitchen for the Pepper.