An important area of application for image segmentation techniques is in processing images resulting from so-called bubble chamber events. These images arise from experiments in high-energy physics in which a beam of particles of known properties is directed onto a target of known nuclei. A typical event consists of incoming tracks, any one of which, in the event of a collision, branches out into secondary tracks of particles emanating from the point of collision. Propose a segmentation approach for detecting all tracks that contain at least 100 pixels and are angled at any of the following six directions off the horizontal: ±25°, ±50°, and ±75°. The allowed estimation error in any of these six directions is ±5°. For a track to be valid it must be at least 100 pixels long and not have more than three gaps, any of which cannot exceed 10 pixels. You may assume that the images have been preprocessed so that they are binary and that all tracks are 1 pixel wide, except at the point of collision from which they emanate. Your procedure should be able to differentiate between tracks that have the same direction but different origins. (Hint: Base your solution on the Hough transform.)
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