Photogeometric Cues to Perceived Surface Shading

The human visual system is remarkably adept at extracting the three-dimensional (3D) shape of surfaces from images of smoothly shaded surfaces (shape from shading). Most research into this remarkable perceptual ability has focused on understanding how the visual system derives a specific representation of 3D shape when it is known (or assumed) that shading and self-occluding contours are the sole causes of image structure [1-11]. But there is an even more fundamental problem that must be solved before any such analysis can take place: how does the visual system determine when it's viewing a shaded surface? Here, we present theoretical analyses showing that there is statistically reliable information generated along the bounding contours of smoothly curved surfaces that the visual system uses to identify surface shading. This information can be captured by two photogeometric constraints that link the shape of bounding contours to the distributions of shading intensity along the contours: one that links shading intensity to the local orientations along bounding contours and a second that links shading intensity to bounding contour curvature. We show that these constraints predict the perception of shading for surfaces with smooth self-occluding contours and a widely studied class of bounding contours (planar cuts). The results provide new insights into the information that the visual system exploits to distinguish surface shading from other sources of image structure and offer a coherent explanation of the influence of bounding contours on the perception of surface shading and 3D shape.