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首页> 外文会议>European Conference on Computer Vision(ECCV 2004) pt.4; 20040511-20040514; Prague; CZ >Constraints on Coplanar Moving Points
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Constraints on Coplanar Moving Points

机译：共面运动点的约束

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摘要

Configurations of dynamic points viewed by one or more cameras have not been studied much. In this paper, we present several view and time-independent constraints on different configurations of points moving on a plane. We show that 4 points with constant independent velocities or accelerations under affine projection can be characterized in a view independent manner using 2 views. Under perspective projection, 5 coplanar points under uniform linear velocity observed for 3 time instants in a single view have a view-independent characterization. The best known constraint for this case involves 6 points observed for 35 frames. Under uniform acceleration, 5 points in 5 time instants have a view-independent characterization. We also present constraints on a point undergoing arbitrary planar motion under affine projections in the Fourier domain. The constraints introduced in this paper involve fewer points or views than similar results reported in the literature and are simpler to compute in most cases. The constraints developed can be applied to many aspects of computer vision. Recognition constraints for several planar point configurations of moving points can result from them. We also show how time-alignment of views captured independently can follow from the constraints on moving point configurations.
机译：由一个或多个摄像机查看的动态点的配置尚未进行太多研究。在本文中，我们介绍了在平面上移动的点的不同配置的几种视图和与时间无关的约束。我们显示仿射投影下具有恒定独立速度或加速度的4个点可以使用2个视图以独立于视图的方式进行表征。在透视投影下，在单个视图中观察3次瞬时的均匀线速度下的5个共面点具有与视图无关的特征。对于这种情况，最著名的约束条件是在35帧中观察到6个点。在匀速加速下，5个瞬间中的5个点具有与视图无关的特征。我们还提出了在傅立叶域的仿射投影下经历任意平面运动的点的约束。与文献中报道的类似结果相比，本文引入的约束涉及的点或视图更少，并且在大多数情况下更易于计算。开发的约束条件可以应用于计算机视觉的许多方面。从中得出移动点的几个平面点配置的识别约束。我们还展示了独立捕获的视图的时间对齐如何可以遵循移动点配置的约束。

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