Naiman A C, Makous W
Department of Computer Science, University of Toronto, Ontario, Canada.
J Opt Soc Am A. 1993 May;10(5):794-803. doi: 10.1364/josaa.10.000794.
The luminance profile of a contour affects its perceived location. We measured the relationship between luminance profile and perceived location of an edge by interposing a thin uniform strip of variable luminance between the black and the white sides of a sharp edge and having observers make Vernier adjustments of an uncomplicated sharp edge so that the two edges appeared to be aligned. The perceived location of the contour depended on the luminance of the strip even when the strip itself was too thin to be seen. The largest visual angle at which a strip was still invisible was approximately 1.4'. Although the relation between perceived location and luminance was nonlinear, the relation approached linearity as the strip thickness decreased. A model with no free parameters, involving three stages of spatial filtering and an interposed nonlinearity, described the data from strips that could not be seen. With a strip thickness of 1.4', the model halved both errors of prediction and residual variance over those based on the assumption of linearity.
轮廓的亮度分布会影响其感知位置。我们通过在锐利边缘的黑色和白色部分之间插入一条可变亮度的细均匀条带，并让观察者对一条简单的锐利边缘进行游标调整，使两条边缘看起来对齐，从而测量了亮度分布与边缘感知位置之间的关系。即使条带本身薄到看不见，轮廓的感知位置仍取决于条带的亮度。条带仍不可见的最大视角约为1.4'。尽管感知位置与亮度之间的关系是非线性的，但随着条带厚度减小，该关系趋近于线性。一个没有自由参数的模型，涉及三个空间滤波阶段和一个插入的非线性环节，描述了来自不可见条带的数据。当条带厚度为1.4'时，该模型相对于基于线性假设的模型，将预测误差和剩余方差都减半。
