ISSN:
1572-9265
Source:
Springer Online Journal Archives 1860-2000
Topics:
Computer Science
,
Mathematics
Notes:
Abstract The task of fitting a curve or surface to a number of related data sets is common in metrology. Thedata matching problem arises when sets of supplementary measurements are added to those of an underlying base set. Each supplementary set may have its own reference frame. This problem is formally equivalent to thedata splicing problem in which no one set covers the entire region of interest. In either case, the presence of reference-frame transformation parameters means that least-squares fitting of a curve to the assembled data is generally a nonlinear problem. A linear version of this problem was treated in Anthony and Harris [1]. An algorithm is presented which exploits the inherent block structure of the problem, thereby reducing memory requirements and execution time. It employs the Gauss-Newton optimisation technique, returning both the fittingand reference-frame transformation parameters. The approach is quite general. Results are presented in the case of indentation analysis (for hardness testing, where the critical parameters are those of the fit). Applications also arise for which the transformation parameters are of primary interest; one such application is indicated.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF02108663
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