Abstract
When viewed from the outside, objects placed inside containers with cylindrical walls (i.e. test tubes, beakers, pipes) appear distorted because of the curvature of the interfaces and the differing refractive indices of the media. We have developed a method for measuring the coordinates of a particle located inside a straight cylindrical tube by viewing it from two directions using a camera. A set of equations is derived which maps all points inside the tube to the camera image plane; ray tracing diagrams are shown for several important cases, indicating variable distortion, hidden regions, multiple images, and critical reflections. An experimental test was performed to check the calculations; excellent verification was obtained.
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