The data reported in the main experiment were collected at New York University using apparatus that no longer exists. Because we did not perform luminance measurements of the NYU setup, we built a new version of the apparatus at Bilkent University and used it to replicate the basic pattern of results found in the main experiment for conditions where we could accurately measure luminance of surfaces within the scene and calculate dynamic range. For the measurements, we used the three spheres shown in
Figure A4. Sphere 1 and Sphere 2 were the same spheres used in the control experiment in
1. Sphere 3 was a black matte sphere (painted with Krylon Ultra Flat Spray paint) with a 4-mm white dot painted on it. The pin-spot light source was 180 cm in front of and 45 cm to the right of the objects. Under these conditions, observers' views of the spheres are shown in
Figure A4. Before making the measurements, we qualitatively verified that (1) the white-dot-painted-black-matte sphere appeared indeed as glossy, and that (2) with a white background both the actual glossy and the illusory glossy spheres looked darker and less glossy. To do so, we asked two experienced observers (authors KD and HB) and three naive observers whether the white-dot-painted-black-matte sphere and the actual glossy sphere looked glossy. All observers reported that they perceived both objects as glossy. Then, we asked the observers to report changes in albedo and gloss level (if any) as we changed the background from black to white. All observers reported that the objects looked darker and less glossy with the white background, consistent with our findings in the original experiment.
After the above verification of the original effect, we measured the luminance values of the black and white backgrounds (SpectroCAL USB by Cambridge Research Systems). The luminance of the illuminated part of the white background was 547 cd/m
2, and that of the non-illuminated part was 0.7369 cd/m
2. The luminance of the illuminated part of the black background was 7.286 cd/m
2, and that of the non-illuminated part was 0.06698 cd/m
2. The average luminance of the matte ball (excluding the white dot) was 21.01 cd/m
2. The highest luminance on the matte ball was 28.31 cd/m
2, and the luminance of the white paint was 700.7 cd/m
2. This makes the dynamic range 700.7 to 0.06698, or about 10,000, in the black background condition. The luminance of the glossy sphere (Sphere 2, excluding the highlight) was 2.420 cd/m
2, and that of its highlight was 168.7 cd/m
2. Finally, we also measured the luminance of the glossiest sphere from the control experiment in
1 (Sphere 3 in
Figure A1). Its luminance was 2.596 cd/m
2, and the luminance of its highlight was 694 cd/m
2.