Depth interpolation from surface boundary perceived with binocular viewing

In the perception of a 3D surface with binocular viewing, a 3D surface can be perceived even in the area where there is no visual stimulus to give the disparity. Concerning this phenomenon, the possibility of surface interpolation from its boundary has arisen. The perceived surface can be not only a plane, but also a curve. If the displayed surface boundary includes ambiguity, which means that there exist a number of surfaces having exactly the same boundary, the surface can be perceived differently according to the attention depth of observation. In order to get a better understanding of these phenomena, a simple mathematical model has been developed