Egan Eric J L, Todd James T, Phillips Flip
Department of Psychology, The Ohio State University, Columbus, OH 43210, USA.
J Vis. 2011 Oct 1;11(12):1-13. doi: 10.1167/11.12.15.
A new computational analysis is described for estimating 3D shapes from orthographic images of surfaces that are textured with planar cut contours. For any given contour pattern, this model provides a family of possible interpretations that are all related by affine scaling and shearing transformations in depth, depending on the specific values of its free parameters that are used to compute the shape estimate. Two psychophysical experiments were performed in an effort to compare the model predictions with observers' judgments of 3D shape for developable and non-developable surfaces. The results reveal that observers' perceptions can be systematically distorted by affine scaling and shearing transformations in depth and that the magnitude and direction of these distortions vary systematically with the 3D orientations of the contour planes.
本文描述了一种新的计算分析方法，用于从带有平面切割轮廓纹理的表面的正投影图像估计三维形状。对于任何给定的轮廓图案，该模型提供了一系列可能的解释，这些解释都通过深度上的仿射缩放和剪切变换相关联，具体取决于用于计算形状估计的自由参数的特定值。进行了两项心理物理学实验，旨在将模型预测与观察者对可展和不可展表面的三维形状判断进行比较。结果表明，观察者的感知会因深度上的仿射缩放和剪切变换而系统地扭曲，并且这些扭曲的大小和方向会随着轮廓平面的三维方向而系统地变化。
