Problem

The speed of a bullet in flight is to be estimated by using high-speed imaging techniques....

The speed of a bullet in flight is to be estimated by using high-speed imaging techniques. The method of choice involves the use of a TV camera and flash that exposes the scene for K s. The bullet is 2.5 cm long, 1 cm wide, and its range of speed is 750 ± 250 m/s. The camera optics produce an image in which the bullet occupies 10% of the horizontal resolution of a 256 ×256 digital image.

(a) Determine the maximum value of K that will guarantee that the blur from motion does not exceed 1 pixel.


(b) Determine the minimum number of frames per second that would have to be acquired in order to guarantee that at least two complete images of the bullet are obtained during its path through the field of view of the camera.


(c) Propose a segmentation procedure for automatically extracting the bullet from a sequence of frames.


(d) Propose a method for automatically determining the speed of the bullet.

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