Theoretically, metric solid shape is not determined uniquely by shading. Consequently, human vision has difficulty in categorizing shape when shading is the only cue. In the present research, subjects were required to categorize shaded quadric surfaces. We found that they were rather poor at this task; they confused hyperbolic and elliptic (both convex and concave) shapes easily. When a cast shadow visually indicated the direction of the illuminant, they were able to notice the concavity or convexity of elliptic shapes. However, they still confused elliptic and hyperbolic ones. Finally, when an animated sequence of eight intensity patterns belonging to one quadric shape had been displayed, the subjects were able to categorize the quadrics. However, the results are still quite moderate. Our experiments indicate that local shading structure is only a weak shape cue when presented in the absence of other visual cues.
145With the present generation of rendering algorithms, it is apparently relatively easy to generate very "natural" images on a computer screen. The three-dimensional impression created by these images is very compelling. However, such an informal observation has to be quantified. Very little research has been done on the perception of solid shape on the basis of shading.Computer images provide several visual cues that potentially contribute to the perception of solid shape (Gibson, 1950). The role of shading in these images is complicated because extracting shape from shading is not a trivial task. The shading is determined by the surface orientation, the illuminant direction, and the surface properties. This means that the same luminance distribution can be generated by several different surfaces. For instance, the luminance distribution of concave and convex spheres is exactly the same. Thus, in order to find the local surface structure on the basis of shading, one has to make assumptions about the illuminant direction and the surface properties (Horn, 1975(Horn, , 1977Pentland, 1984Pentland, , 1989. Another method to estimate the local surface structure from shading is to combine the information given by several intensity patterns of one shape (Woodham, 1980). Most computational theories on shape from shading calculate the surface shape locally (Horn, 1975(Horn, , 1977Pentland, 1984Pentland, , 1989Woodham, 1980). It is not clear whether human observers are able to judge the local shape of an object on the basis of shading.Several psychophysical experiments report observers' ability to estimate local surface structure from shading (Biilthoff & Mallot, 1988;Mingolla & Todd, 1986;Todd & Mingolla, 1983;Todd & Reichel, 1991). These experiments indicated that human observers are very poor at this. Other experiments have shown that observers cannot distinguish local shapes such as concave and convex spheres when they do not know the illuminant direction (Berbaum, Bever, & Sup Chung, 1984;Ramachandran, 1988). In most of these studies, a very restricted set of shapes such as spheres (Berbaum et al., 1984), ...