basis spline

noun

A spline function that has minimal support with respect to a given degree, smoothness, and domain partition. Any spline function of given degree can be expressed as a linear combination of basis splines of that degree.

“Basis splines can be used for curve-fitting and numerical differentiation of experimental data, and for shaping curves in computer-aided design.”

Similar
B-spline
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Meanings

nounbasis spline (plural basis splines)

plural basis splines

  1. mathematicsA spline function that has minimal support with respect to a given degree, smoothness, and domain partition. Any spline function of given degree can be expressed as a linear combination of basis splines of that degree.

    Basis splines can be used for curve-fitting and numerical differentiation of experimental data, and for shaping curves in computer-aided design.

    Synonyms: B-spline

Synonyms & antonyms

nounA spline function that has minimal support with respect to a given degree, smoothness, and domain partition. Any spline function of given degree can be expressed as a linear combination of basis splines of that degree.

Similar
B-spline
Cite this entry
APA

basis spline. (n.d.). In WatkinsX Dictionary. Retrieved November 3, 2026, from https://dictionary.watkinsx.com/word/basis%20spline

MLA

“basis spline.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/basis%20spline. Accessed November 3, 2026.

Chicago

WatkinsX Dictionary, s.v. “basis spline,” accessed November 3, 2026, https://dictionary.watkinsx.com/word/basis%20spline.

Source: basis spline on Wiktionary, CC BY-SA 4.0.