Construct · 1 fields · 2 citations

spline: a standalone construct

One name. One construct. A landmark on the map.

● anchor · a standalone construct Nearest construct by meaning·not indexed
spline1 CONSTRUCTSpline functionNUMERICAL · SPLINE

A single standalone construct; nearby constructs are located against it in the Collider. Tap a field for its definition, unit, and measures.

Mathematics

A piecewise-polynomial interpolating curve

In mathematics, a spline is a function built from polynomial pieces joined end to end at points called knots, with continuity and smoothness enforced at each join, used to interpolate or approximate data with a smooth curve while avoiding the wild oscillation of a single high-degree polynomial. Curry and Schoenberg's work on the fundamental (B-)spline functions established the theory, and de Boor's A practical guide to splines is the standard computational treatment. The name was borrowed directly from the draftsman's flexible spline; the referent is a piecewise-polynomial curve, distinct from a splined shaft or a physical fairing strip.[1][2]

Unit
The knot sequence and polynomial degree defining the curve
Recovery means
Not applicable
Measured by
Characterised by degree, knot placement, and approximation error against the data

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Nearby constructs

continuity4 fields · 4 citationsjingle · one word, four constructscoupling4 fields · 4 citationsjingle · one word, four constructs

References

  1. Curry, H. B., & Schoenberg, I. J. (1966). On Pólya frequency functions IV: The fundamental spline functions and their limits. Journal d'Analyse Mathématique, 17, 71–107. https://doi.org/10.1007/bf02788653
  2. de Boor, C. (2001). A practical guide to splines (Rev. ed.). Springer. ISBN 9780387953663

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