A parametric quartic spline interpolant to position, tangent and curvature

A parametric quartic spline interpolant to position, tangent and curvature

We describe a scheme that produces a convexity-preserving parametric quartic spline interpolant to position, tangent and curvature data. The resulting interpolant is curvature continuous and the scheme is local and 6-th order accurate. Moreover, the interpolant depends continuously on the given data...

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Veröffentlicht in:Computing 2004-04, Vol.72 (1-2), p.65-78
Hauptverfasser: GRANDINE, Thomas A, HOGAN, Thomas A
Format: Artikel
Sprache:eng
Schlagworte:
Algorithmics. Computability. Computer arithmetics
Applied sciences
Computer science
control theory
systems
Exact sciences and technology
Geometry
Mathematical analysis
Mathematics
Methods of scientific computing (including symbolic computation, algebraic computation)
Numerical analysis
Numerical analysis. Scientific computation
Numerical approximation
Numerical controls
Sciences and techniques of general use
Studies
Theoretical computing
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Beschreibung
Zusammenfassung:We describe a scheme that produces a convexity-preserving parametric quartic spline interpolant to position, tangent and curvature data. The resulting interpolant is curvature continuous and the scheme is local and 6-th order accurate. Moreover, the interpolant depends continuously on the given data. [PUBLICATION ABSTRACT]
ISSN:0010-485X
1436-5057
DOI:10.1007/s00607-003-0047-x