Reeve, C.

NBS Interal Report 79-1758; 21p. June 1979.

Keywords:
Least squares circle; least squares estimation; polar graph; restraints; roundness standard; spindle error; standard deviation; stylus.

Abstract:
For the past decade the National Bureau of Standards has been making high precision roundness measurements using an algorithm which allows the spindle out-of-roundness to be separated from the true profile of the workpiece. The algorithm requires multiple traces on a roundness measuring instrument, and the resulting redundancy provides an estimate of the measurement precision. The primary purpose of this paper is to describe in detail the mathematical model used for this measurement process. Some related topics are discussed briefly and an example is given.

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