Inferring the relative three-dimensional positions of two moving points.
Inferring the relative three-dimensional positions of two moving points.
复制标题
推断两个移动点的相对三维位置。
DOI：
10.1364/josaa.2.000350
复制
发表时间：
1985
期刊：
影响因子：
--
通讯作者：
B. M. Bennett
中科院分区：
文献类型：
--
作者：
Donald D. Hoffman;B. M. Bennett
我们表明，四个正交投影的两个刚性连接的点是兼容的，最多四个解释的相对三维位置的点，如果点绕一个固定的轴旋转-即使当点作为一个系统进行任意刚性平移。第五个视图（投影）产生唯一的解释，并使随机选择的图像点将接收三维解释的概率为零。假设这些点以恒定的角速度旋转，而不是添加第五视图，也会产生唯一的解释，并使随机选择的图像点将接收三维解释的概率为零。
We show that four orthographic projections of two rigidly linked points are compatible with at most four interpretations of the relative three-dimensional positions of the points if the points rotate about a fixed axis--even when the points as a system undergo arbitrary rigid translations. A fifth view (projection) yields a unique interpretation and makes zero the probability that randomly chosen image points will receive a three-dimensional interpretation. Assuming that the points rotate at a constant angular velocity, instead of adding a fifth view, also yields a unique interpretation and makes zero the probability that randomly chosen image points will receive a three-dimensional interpretation.