Bounds for spiral and piecewise spiral splines
A. Kurnosenko
TL;DR
This paper establishes boundary regions for spiral and piecewise spiral splines that interpolate given data, providing a measure of fairness and applications in tolerance control of curvilinear profiles.
Contribution
It updates previous work by defining boundary regions for spiral splines, linking spline fairness to data interpolation quality.
Findings
Boundary regions for spiral splines are established.
The width of boundary regions measures data fairness.
Application to tolerance control of profiles is discussed.
Abstract
This note is the updated outline of the article "Interpolational properties of planar spiral curves", Fund. and Applied Math., 2001, Vol.7, N.2, 441-463, published in Russian. The main result establishes boundary regions for spiral and piecewise spiral splines, matching given data. The width of such region can serve as the measure of fairness of the point set, subjected to interpolation. Application to tolerance control of curvilinear profiles is discussed.
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Taxonomy
TopicsAdvanced Numerical Analysis Techniques