Stork D G, Wilson H R
Department of Psychology, Stanford University, California 94305.
J Opt Soc Am A. 1990 Aug;7(8):1362-73. doi: 10.1364/josaa.7.001362.
Several recent theoretical models for human spatial vision posit that cortical receptive fields act to minimize simultaneously the product of the standard deviation of the sensitivities to position (delta chi) and to spatial frequency (delta omega) in accord with the uncertainty principle from Fourier analysis. The receptive-field functions resulting from this approach--one-dimensional or two-dimensional Gabor elementary functions--have been shown by others to fit measured receptive fields adequately in some species. However, only complex-valued Gabor functions minimize this product, and these cannot be fitted to single-cell receptive fields. We point out that the derivations of others have an implied metric or measure of positional and spatial-frequency uncertainties and that there is an infinitely large class of such metrics, many of which yield other receptive-field functions that are quite plausible biologically. We review neurophysiological measurements of others and analyze psychophysical masking data and find that in many cases receptive-field functions other than Gabor functions fit better. We conclude that there are insufficient theoretical demonstrations and experimental data to favor Gabor functions over any of a number of other plausible receptive-field functions.
最近有几个关于人类空间视觉的理论模型认为，根据傅里叶分析中的不确定性原理，皮层感受野的作用是同时最小化对位置（δχ）和空间频率（δω）的敏感度标准差的乘积。其他人已经表明，这种方法产生的感受野函数——一维或二维的伽柏基本函数——在某些物种中能够充分拟合测量到的感受野。然而，只有复数值伽柏函数能使这个乘积最小化，而这些函数无法拟合单细胞感受野。我们指出，其他人的推导中隐含了一种位置和空间频率不确定性的度量或测度，并且存在一大类这样的度量，其中许多会产生其他在生物学上相当合理的感受野函数。我们回顾了其他人的神经生理学测量结果，并分析了心理物理学掩蔽数据，发现许多情况下，非伽柏函数的感受野函数拟合得更好。我们得出结论，没有足够的理论论证和实验数据支持伽柏函数优于其他一些合理的感受野函数。
