splinesplaɪn
spline (v)
- present
- splines
- past
- splined
- past participle
- splined
- present participle
- splining
spline (n)
English Definitions:
spline (noun)
a flexible strip (wood or rubber) used in drawing curved lines
slat, spline (noun)
a thin strip (wood or metal)
spline (Noun)
A rectangular piece that fits grooves like key seats in a hub and a shaft, so that while the one may slide endwise on the other, both must revolve together.
spline (Noun)
A flexible strip of metal or other material, that may be bent into a curve and used in a similar manner to a ruler to draw smooth curves between points.
spline (Noun)
Any of a number of smooth curves used to join points.
Spline
In mathematics, a spline is a sufficiently smooth polynomial function that is piecewise-defined, and possesses a high degree of smoothness at the places where the polynomial pieces connect. In interpolating problems, spline interpolation is often referred to as polynomial interpolation because it yields similar results, even when using low-degree splines, to interpolating with higher degree polynomials while avoiding instability due to Runge's phenomenon. In computer graphics splines are popular curves because of the simplicity of their construction, their ease and accuracy of evaluation, and their capacity to approximate complex shapes through curve fitting and interactive curve design. The most commonly used splines are cubic spline, i.e., of order 3—in particular, cubic B-spline and cubic Bézier spline. They are common, in particular, in spline interpolation simulating the function of flat splines. The term spline is derived from a flexible strip of metal commonly used by draftsmen to assist in drawing curved lines. Splines are curves, which are usually required to be continuous and smooth. Splines are usually defined as piecewise polynomials of degree n with function values and first n-1 derivatives that agree at the points where they join. The abscissa values of the join points are called knots. The term "spline" is also used for polynomials and piecewise polynomials with more than one discontinuous derivative. Splines with no knots are generally smoother than splines with knots, which are generally smoother than splines with multiple discontinuous derivatives. Splines with few knots are generally smoother than splines with many knots; however, increasing the number of knots usually increases the fit of the spline function to the data. Knots give the curve freedom to bend to more closely follow the data.
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"spline." Kamus.net. STANDS4 LLC, 2024. Web. 28 Mar. 2024. <https://www.kamus.net/english/spline>.
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