Abstract
Circle (or sphere) and circularity (respectively sphericity) measurements are a common occurrence in many fields of physics and engineering. In metrology, circles and spheres are often representative features of points to be measured. This paper proceeds from the need for a fast circularity and two-dimensional center position measurement. Central to this process is a circle fitting algorithm in the sense of least L-infinity norm, also known as Chebishev or MinMax fit. The problem at hand can be formulated as follows: Given a set of points in the plane, find the pair of concentric circles with minimum radial gap enclosing all the points. Applications of this algorithm to fringe pattern analysis for alignment and sub-micron position sensing will also be presented.
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