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Identification of Riccati dynamics under perspective andorthographic observations

机译：在透视正射观测下识别Riccati动力学

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摘要

The problem of identifying motion and shape parameters of a planar object undergoing a Riccati motion, from the associated optical flow generated on the image plane of a single CCD camera, is studied. The optical flow is generated by projecting feature points on the object onto the image plane via perspective and orthographic projections. An important result we show is that, under perspective projection, the parameters of a specific Riccati dynamics that extend the well-known “rigid motion” can be identified up to choice of a sign. The paper also discusses other Riccati equations obtained from quadratic extension of a rigid motion and affine motion. For each of the various motion models considered and for each of the two projection models, we show that the extent to which motion and shape parameters can be recovered from optical flow can in fact be recovered from the linear approximation of the optical flow. We also extend our analysis to a pair of cameras
机译：研究了从在单个CCD相机的像平面上产生的相关光流识别出进行Riccati运动的平面物体的运动和形状参数的问题。通过将对象上的特征点通过透视和正投影投影到图像平面上来生成光流。我们显示的重要结果是，在透视投影下，可以识别特定Riccati动力学的参数，这些参数扩展了众所周知的“刚性运动”，直至选择一个符号。本文还讨论了从刚性运动和仿射运动的二次扩展获得的其他Riccati方程。对于所考虑的各种运动模型中的每一个以及对于两个投影模型中的每一个，我们表明可以从光流中恢复运动和形状参数的程度实际上可以从光流的线性近似中恢复。我们还将分析扩展到一对摄像机

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