Viewed from the center of projection, a perspective picture presents the pictorial depth information of a scene. Knowing the center of projection, one can reconstruct the depicted scene. Assuming another viewpoint is the center of projection will cause one to reconstruct a transformed scene. Despite these transformations, we appreciate pictures from other viewpoints. The compensation hypothesis states that the visible picture surface allows observers to compensate for transformations by locating the center of projection and experiencing pictorial space from there. Weshow that observers neither completely compensate for nor experience transformations of space as geometry would predict. We propose a modified compensation hypothesis according to which different degrees of visibility of the picture surface invoke different degrees of compensation.Pictures are flat surfaces that show scenes in depth. For the visual system, pictures present the problem ofintegrating conflicting flatness and depth information. Practically, understanding how picture perception resembles or differs from perceiving real space will allow us to create and use spatial displays more effectively. In this paper, we address two problems: (1) how we perceive pictures from different viewpoints even though pictures are geometrically correct for only one viewpoint and (2) how depth information and flatness information interact in perceiving depth in pictures.A picture mimics the light from a scene to one viewpoint, called the center ofprojection. To all other viewpoints, the picture presents a geometrically transformed pictorial space. However, experience suggests that we can appreciate pictures from many viewpoints. Kubovy (1986) has called this phenomenon the robustness ofperspective. Some researchers (e.g., Goldstein, 1987;Kubovy, 1986;Pirenne, 1970; have proposed that robustness results because seeing the picture surface allows observers to compensate for these transformations ofpictorial space. That is, observers perceive the layout of pictorial space as if they were viewing the This research was supported by Grant MH 47317 to M.K., principal investigator. The authors thank Jake Mazulewicz, Anu Kesari, and Albert Downs for their able help in conducting the experiment, and Ron Simmons for building the apparatus. The authors also thank Marco Bertamini for discussions on the nature of explanations and descriptions, Hal Sedgwick for his thoughts on cross-talk, the visual world, and the visual field, Denny Proffitt for his thoughts on "compellingness" in pictures, movies at SIGGRAPH, and registered variables, and Marco Bertamini and Mukul Bhalla for their suggestions, which greatly improved this paper. Correspondence should be addressed to T. Yang or M. Kubovy, Department of Psychology, Gilmer Hall, University ofVirginia, Charlottesville, VA 22903-2477 (e-mail: yang@virginia.edu or kubovy@virginia.edu).picture from the center of projection. We call this explanation the compensation theory ofperspective robustness.In this paper, we present two versio...