โ Scribed by Alfred M. Bruckstein; Robert J. Holt; Arun N. Netravali
No coin nor oath required. For personal study only.
causes the center of mass to move in a conic section, e.g., in case of uniform gravity a parabola described by This paper deals with a problem in computer vision: how to recover the motion of a disk, thrown toward an observer, from a sequence of images acquired by a pinhole camera. Polynomial equations describing the motion are established, and techniques from algebraic geometry are used to show that in general a
sequence of three images is sufficient for the recovery of motion of the disk when it is known to be moving along a straight line, and that five images suffice in the more general situation in which the disk travels in a gravitational field. Examples are where (x 0 , y 0 , z 0 ) and (v x , v y , v z ) are the initial position worked out in detail to illustrate our results.
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