The height of a stereokinetic cone: A quantitative determination of a 3-D effect from 2-D moving patterns without a “rigidity assumption”
The height of a stereokinetic cone: A quantitative determination of a 3-D effect from 2-D moving patterns without a “rigidity assumption”
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立体动力学锥体的高度：在没有“刚性假设”的情况下定量确定 2D 运动模式的 3D 效应
DOI：
10.1007/bf00310177
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发表时间：
1988
期刊：
影响因子：
--
通讯作者：
M. Zanforlin
中科院分区：
文献类型：
--
作者：
M. Zanforlin
当一个画有偏心点的圆盘做缓慢的圆周运动时，观察者会看到一个三维的固体物体：立体运动锥。圆锥体显示出明确的高度和倾斜度。目前所有关于视觉系统如何从二维运动模式中提取三维感知的理论都是基于“刚性假设”的假设。但是这个假设不能解释为什么立体运动锥看起来有一个明确的高度。本文提出了一种替代假设，它避免了刚性假设，并基于旋转模式的所有点之间的相对速度差的最小化过程。该假设允许定量预测旋转圆盘为圆形和椭圆形时的立体动力学锥体高度。的预测是在良好的协议与以前报道的实验结果和我们自己的观察。
SummaryWhen a circular disc with an eccentric dot painted on it is set in slow circular motion, a three-dimensional solid object appears to the observer: the stereokinetic cone. The cone shows a well-defined height and tilt. All current theories of how the visual system can extract 3-D percepts from 2-D moving patterns, are based on a “rigidity assumption” hypothesis. But this assumption cannot explain why the stereokinetic cone appears to have a well-defined height. An alternative hypothesis is proposed here, which avoids the rigidity assumption and is based on a minimization process of the relative velocity differences between all the points of the rotating pattern. The hypothesis allows a quantitative prediction of the stereokinetic cone height both when the rotating disc is circular and when it is elliptical. The predictions are in good agreement with previously reported experimental results and with our own observations.