Title :
A circle fitting procedure and its error analysis
Author_Institution :
Nat. Bur. of Stand., Boulder, CO, USA
fDate :
3/1/1976 12:00:00 AM
Abstract :
An efficient least squares circle fitting procedure and its general random-error analysis are described. The first-order random errors of the center coordinates and the radius of the fitted circle are discussed in detail. The effect of data point distribution along the circle is investigated, and for an important microwave application (sliding termination measurements) the frequency dependence is also evaluated. The effects of the second-order error terms are also discussed and general formulas are given. Finally an estimation of data point error is provided.
Keywords :
curve fitting; error analysis; least squares approximations; circle fitting procedure; data point distribution; data point error; error analysis; first order random errors; frequency dependence; general random error analysis; microwave sliding termination measurements; second order random errors; Approximation methods; Equations; Fitting; Measurement uncertainty; Microwave measurements; Sensitivity; Transmission line measurements;
Journal_Title :
Instrumentation and Measurement, IEEE Transactions on
DOI :
10.1109/TIM.1976.6312298
