Todd J T, Chen L, Norman J F
Department of Psychology, Ohio State University, Columbus 43210, USA.
Perception. 1998;27(3):273-82. doi: 10.1068/p270273.
A match-to-sample task was performed, in which observers compared configurations of line segments presented stereoscopically in different three-dimensional orientations. Several different structural properties of these configurations were manipulated, including the relative orientations of line segments (a Euclidean property), their coplanarity (an affine property), and their patterns of cointersection (a topological property). Although the differences in these properties to be detected were all metrically equivalent, they varied dramatically in their relative perceptual salience, such that the error rates and reaction times in the three conditions varied by as much as 400%. Performance was highest in the topological condition, intermediate in the affine condition, and lowest in the Euclidean condition. These findings suggest that the relative perceptual salience of object properties may be systematically related to their structural stability under change, in a manner that is similar to the Klein hierarchy of geometries.
进行了一项匹配样本任务，其中观察者比较了以不同三维方向立体呈现的线段配置。对这些配置的几个不同结构属性进行了操纵，包括线段的相对方向（欧几里得属性）、它们的共面性（仿射属性）以及它们的相交模式（拓扑属性）。尽管要检测的这些属性的差异在度量上都是等效的，但它们在相对感知显著性上有很大差异，以至于三种条件下的错误率和反应时间相差多达400%。在拓扑条件下性能最高，在仿射条件下居中，在欧几里得条件下最低。这些发现表明，对象属性的相对感知显著性可能与它们在变化下的结构稳定性系统相关，其方式类似于几何学的克莱因层次结构。
