Chow Carson C, Jin Dezhe Z, Treves Alessandro
Department of Mathematics and Center for the Neural Basis of Cognition, University of Pittsburgh, Pittsburgh, PA, USA.
J Vis. 2002;2(8):571-6. doi: 10.1167/2.8.4.
The statistical arrangement of oriented segments in natural scenes was recently proposed to be indicative of a cocircularity rule. In particular, the probability density function of the relative position of two oriented segments was found to be maximal along fixed angles on the plane, consistent with the two segments being tangent to two points of a circle. Does this observation point to a prevalence of circles in natural scenes? Here we demonstrate that similar statistics can be obtained even when circles are not very common in visual scenes. The reason is that circles or near circular objects can heavily skew the distribution in favor of the cocircularity rule.
最近有人提出，自然场景中定向线段的统计排列表明存在共圆规则。具体而言，发现两个定向线段相对位置的概率密度函数在平面上的固定角度处最大，这与两个线段与圆的两个点相切一致。这一观察结果是否表明自然场景中圆很普遍？在这里，我们证明，即使在视觉场景中圆不太常见时，也可以获得类似的统计结果。原因是圆或近似圆形的物体可能会严重扭曲分布，从而有利于共圆规则。
