B-spline

This article has multiple issues. Please help improve it or discuss these issues on the talk page. (Learn how and when to remove these messages) The article's lead section may need to be rewritten. Please help improve the lead and read the lead layout guide. (August 2014) (Learn how and when to remove this message) This article may be too technical for most readers to understand. Please help improve it to make it understandable to non-experts, without removing the technical details. (January 2022) (Learn how and when to remove this message) This article needs additional citations for verification. Please help improve this article by adding citations to reliable sources. Unsourced material may be challenged and removed. Find sources: "B-spline" – news · newspapers · books · scholar · JSTOR (January 2022) (Learn how and when to remove this message) (Learn how and when to remove this message)

In the mathematical subfield of numerical analysis, a B-spline or basis spline is 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 B-splines of that degree. Cardinal B-splines have knots that are equidistant from each other. B-splines can be used for curve-fitting and numerical differentiation of experimental data.

In computer-aided design and computer graphics, spline functions are constructed as linear combinations of B-splines with a set of control points.