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The next most simple spline has degree 1. It is also called a linear spline. A closed linear spline (i.e, the first knot and the last are the same) in the plane is just a polygon. A common spline is the natural cubic spline. A cubic spline has degree 3 with continuity C 2, i.e. the values and first and second derivatives are continuous. Natural ...
In the mathematical field of numerical analysis, spline interpolation is a form of interpolation where the interpolant is a special type of piecewise polynomial called a spline. That is, instead of fitting a single, high-degree polynomial to all of the values at once, spline interpolation fits low-degree polynomials to small subsets of the ...
This is a list of Wikipedia articles about curves used in different fields: mathematics ... B-spline; Nonuniform rational B-spline; Fractal curves. Blancmange curve;
Spline (mechanical), a mating feature for rotating elements; Flat spline, a device to draw curves; Spline drive, a type of screw drive; Spline cord, a type of thin rubber cord used to secure a window screen to its frame; Spline (or star filler), a type of plastic cable filler for CAT cable
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.
The thin plate spline approach can be generalized to smoothing with respect to more than two dimensions and to other orders of differentiation in the penalty. [1] As the dimension increases there are some restrictions on the smallest order of differential that can be used, [ 1 ] but actually Duchon's original paper, [ 9 ] gives slightly more ...
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.
In the mathematical subfield of numerical analysis, an M-spline [1] [2] is a non-negative spline function. An M-spline family of order three with four interior knots.