A space probe is designed to transmit images from a planet as it approaches it for landing. During the last stages of landing, one of the control thrusters fails, resulting in rapid rotation of the craft about its vertical axis. The images sent during the last two seconds prior to landing are blurred as a consequence of this circular motion. The camera is located in the bottom of the probe, along its vertical axis, and pointing down. Fortunately, the rotation of the craft is also about its vertical axis, so the images are blurred by uniform rotational motion. During the acquisition time of each image the craft rotation was limited to π/8 radians. The image acquisition process can be modeled as an ideal shutter that is open only during the time the craft rotated the π/8 radians. You may assume that vertical motion was negligible during image acquisition. Formulate a solution for restoring the images.
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