Purpose: Shape and motion are often misperceived in SFM displays in which textures flow over a stationary surface. Recent work (e.g. Perotti, Todd, Lappin, & Phillips, 1998; Lappin & Craft, 2000; Craft & Yu, ARVO 2000) implicates 2nd-order spatial differential structure of the instantaneous velocity field as a visual primitive for SFM. This experiment extends those efforts to the stereo domain, utilizing a reproduction task to characterize shape perception under various stereoscopic conditions. Method: O's adjusted a 2D graphical display to reproduce the perceived cross-sectional shape of various surfaces depicted in two types of stereoscopic displays. The displays were static stereoscopic analogs of three motion displays studied previously: one depicting a rigidly rotating surface covered with a random dot texture, and the others depicting the same surface but stationary with the texture either flowing isometrically over the surface or stretching across the surface. Results: For stereo displays based on a rigid rotation, O's reproductions of surface shape closely matched the shape depicted in the displays. For stereo displays based on texture flowing isometrically over a stationary surface, and for stereo displays based on texture stretching (rather than just flowing) over a stationary surface, O's shape reproductions differed qualitatively from the intended surface shape, but were both well modeled by surfaces derived from the instantaneous velocity field of the corresponding motion displays coupled with a rigid rotation assumption. Conclusion: Analogous to previous findings in the SFM domain, these results, particularly the extremely similar shape percepts under the flow and stretch conditions, imply that the 2nd-order (or higher) spatial differential structure of the disparity field serves as a visual primitive in stereoscopic vision.