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In mathematics, a spline is a ... The term "spline" is used to refer to a wide class of functions that are used in applications requiring data interpolation and/or ...
Quarterly of Applied Mathematics. 4 (2): 45– 99. doi: 10.1090/qam/15914. Schoenberg, Isaac J. (1946). "Contributions to the Problem of Approximation of Equidistant Data by Analytic Functions:Part B.—On the Problem of Osculatory Interpolation. A Second Class of Analytic Approximation Formulae". Quarterly of Applied Mathematics. 4 (2): 112 ...
This is a list of Wikipedia articles about curves used in different fields: mathematics ... Splines. B-spline; Nonuniform rational B-spline; Fractal curves
The key points, placed by the artist, are used by the computer algorithm to form a smooth curve either through, or near these points. For a typical example of 2-D interpolation through key points see cardinal spline. For examples which go near key points see nonuniform rational B-spline, or Bézier curve. This is extended to the forming of ...
Bicubic interpolation can be accomplished using either Lagrange polynomials, cubic splines, or cubic convolution algorithm. In image processing , bicubic interpolation is often chosen over bilinear or nearest-neighbor interpolation in image resampling , when speed is not an issue.
This is an alphabetical index of articles related to curves used in mathematics. Acnode; Algebraic curve; ... (mathematics) Hermite spline. Beta spline. B-spline ...
See also Subdivision surfaces, which is an emerging alternative to spline-based surfaces. Pages in category "Splines (mathematics)" The following 30 pages are in this category, out of 30 total.
In applied mathematics, an Akima spline is a type of non-smoothing spline that gives good fits to curves where the second derivative is rapidly varying. [1] The Akima spline was published by Hiroshi Akima in 1970 from Akima's pursuit of a cubic spline curve that would appear more natural and smooth, akin to an intuitively hand-drawn curve.