Abstract
We propose a simple telescope with three-dimensional image capability for surface profile measurements. Our method based on the algorithm of reflectivity-height transformation is applied to a traditional commercial telescope with a webcam for determining the third dimension of the test object. It is also useful for thickness, deformation, and surface profile measurements.
Highlights
In recent decades, telescopes have not undergone any major variations in their structures or applications
We have previously proposed 3D profilometers for both the transmission [2] and reflection [3] types, but they were applied for measuring smooth surface profiles of small areas or for use with a microscope
The main structure of our 3D telescope combines a commercial telescope with a webcam and a parallelogram prism
Summary
Telescopes have not undergone any major variations in their structures or applications. The experimental results of several coins have shown that the error percentage of thickness can be less than 4% for a telescope with a magnification of 25× and a measuring distance of 10 m. When a parallelogram prism made of BK7 with the base angle of 45 ̊ is used to be an angular sensor to sense the angle deviation of the object light, the light passing through it with twice internal reflections. When the interval of the two points of the object is ∆x , the reflection lights are projected into the parallelogram prism and passed via a telescope to form the image on the webcam; the interval of the two points of the formed image correspond to ∆x is ∆X.
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