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Rational-spline approximation with automatic tension adjustmentAn algorithm for weighted least-squares approximation with rational splines is presented. A rational spline is a cubic function containing a distinct tension parameter for each interval defined by two consecutive knots. For zero tension, the rational spline is identical to a cubic spline; for very large tension, the rational spline is a linear function. The approximation algorithm incorporates an algorithm which automatically adjusts the tension on each interval to fulfill a user-specified criterion. Finally, an example is presented comparing results of the rational spline with those of the cubic spline.
Document ID
19840026133
Acquisition Source
Legacy CDMS
Document Type
Technical Publication (TP)
Authors
Schiess, J. R. (NASA Langley Research Center Hampton, VA, United States)
Kerr, P. A. (NASA Langley Research Center Hampton, VA, United States)
Date Acquired
September 4, 2013
Publication Date
October 1, 1984
Subject Category
Numerical Analysis
Report/Patent Number
L-15826
NASA-TP-2366
NAS 1.60:2366
Accession Number
84N34204
Funding Number(s)
PROJECT: RTOP 505-31-83
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.

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