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Research Report MRR99-044
Least squares fitting of parametric surfaces to measured data
G. A. Watson
Abstract:
The problem is considered of fitting surfaces to
measured data using the least squares norm, where it is assumed
that a parameterization of the surface is available. Examples of
practical applications include the product design and quality
assurance of manufactured parts. There has been much recent
algorithmic development based on conventional fitting ideas,
mainly orthogonal distance regression. A different approach is
taken here which explicitly takes account of the measurement
process, and this is illustrated by some examples.
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