| Abstrakt: |
The problem of determining the coordinates of a circle and its radius from a set of measurements of its arc is of practical interest. We derive the expression that gives the Cramer-Rao lower bounds of these estimates. These bounds are a function of the noise factor, the number of measurements, and the arc length. Simulation results have corroborated the derivations and shown that the estimator of [S. M. Thomas and Y. T. Chan, Comput. Vision Graphics Image Process. 45, 1989, 362-370] achieve the lower bounds. Copyright 1995, 1999 Academic Press |
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