Dakin S C, Herbert A M
McGill Vision Research, Department of Ophthalmology, Montréal, Québec, Canada.
Proc Biol Sci. 1998 Apr 22;265(1397):659-64. doi: 10.1098/rspb.1998.0344.
Symmetry is a complex image property that is exploited by a sufficiently wide range of species to indicate that it is detected using simple visual mechanisms. These mechanisms rely on measurements made close to the axis of symmetry. We investigated the size and shape of this integration region (IR) by measuring human detection of spatially band-pass symmetrical patches embedded in noise. Resistance to disruption of symmetry (in the form of random phase noise) improves with increasing patch size, and then asymptotes when the embedded region fills the IR. The size of the IR is shown to vary in inverse proportion to spatial frequency; i.e. symmetry detection exhibits scale invariance. The IR is shown to have rigid dimensions, elongated in the direction of the axis of symmetry, with an aspect ratio of ca. 2:1. These results are consistent with a central role for spatial filtering in symmetry detection.
对称性是一种复杂的图像属性,被种类足够广泛的物种所利用,这表明它是通过简单的视觉机制被检测到的。这些机制依赖于在对称轴附近进行的测量。我们通过测量人类对嵌入噪声中的空间带通对称斑块的检测,研究了这个整合区域(IR)的大小和形状。对对称性破坏(以随机相位噪声的形式)的抵抗力随着斑块尺寸的增加而提高,然后当嵌入区域填满IR时趋于平稳。结果表明,IR的大小与空间频率成反比;即对称性检测表现出尺度不变性。IR被证明具有固定的尺寸,在对称轴方向上拉长,长宽比约为2:1。这些结果与空间滤波在对称性检测中起核心作用是一致的。