## Spline (mathematics) |

In **spline** is a special

In the

The term spline comes from the flexible

- introduction
- definition
- examples
- notes
- general expression for a
*c*^{2}interpolating cubic spline - representations and names
- history
- references
- external links

The term "spline" is used to refer to a wide class of functions that are used in applications requiring data interpolation and/or smoothing. The data may be either one-dimensional or multi-dimensional. Spline functions for interpolation are normally determined as the minimizers of suitable measures of roughness (for example integral squared curvature) subject to the interpolation constraints. Smoothing splines may be viewed as generalizations of interpolation splines where the functions are determined to minimize a weighted combination of the average squared approximation error over observed data and the roughness measure. For a number of meaningful definitions of the roughness measure, the spline functions are found to be finite dimensional in nature, which is the primary reason for their utility in computations and representation. For the rest of this section, we focus entirely on one-dimensional, polynomial splines and use the term "spline" in this restricted sense.

Other Languages

català: Spline

čeština: Spline

Deutsch: Spline

eesti: Splain

español: Spline

Esperanto: Splajno

فارسی: اسپلاین

français: Spline

한국어: 스플라인 곡선

हिन्दी: स्प्लाईन (गणित)

italiano: Funzione spline

עברית: Spline

қазақша: Сплайн

magyar: Spline

македонски: Сплајн

Nederlands: Spline

日本語: スプライン曲線

norsk: Spline

polski: Funkcja sklejana

português: Spline

русский: Сплайн

slovenščina: Zlepek

српски / srpski: Сплајн

svenska: Spline

Türkçe: Bağ interpolasyonu

українська: Сплайн

中文: 样条函数