cubic spline


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cubic spline

[′kyü·bik ′splīn]
(mathematics)
One of a collection of cubic polynomials used in interpolating a function whose value is specified at each of a collection of distinct ordered values, Xi (i =1, …, n), and whose slope is specified at X1 and Xn ; one cubic polynomial is found for each interval, such that the interpolating system has the prescribed values at each of the Xi, the prescribed slope at X1 and Xn, and a continuous slope at each of the Xi.
References in periodicals archive ?
Then a B-spline of order four, or cubic B-spline, is a cubic spline with knots [[xi].
For example, Snyder (1990) applies the central-difference formula by Stirling; Ratner (1991), Bretterbauer (1994), and Evenden (2008) use cubic spline interpolation (which is also used in Flex Projector); and Richardson (1989) reports that Robinson applied the Aitken interpolation +scheme.
P-Library is the muscle behind the PUMP-FLO curves; it creates data-driven curves using a cubic spline regression as opposed to polynomial regression.
An alternative to both the linear look-up and third order polynomial fit in this situation is to use a cubic spline look-up table.
Many others have tried numerical schemes such as Rubin and Grave [6] used cubic spline functions and quasilinearization for the numerical solution of Burgers' equation.
Discrete cubic spline Interpolation with a non uniform mesh, Rocy Mount, Journal Math's.
These curves are formed from cubic spline arches, given as parametric form, function of one parameter u [member of] (0,1), connected between them.
We also examined the sensitivity of our results to alternate model specifications, including alternate time trend control (cubic spline for day of visit with two knots per month and one knot every 2 months, respectively, instead of one knot per month), and alternate temperature control (indicator variables for each degree Celsius instead of a cubic spline for lag 0 maximum temperature).
In short summary, the linear (more formally, bilinear interpolation in the context of two-dimensional array data) involves a simple point-slope imputation of data at points intermediate to true observation; the cubic spline (more formally, bicubic spline) involves a summed, iterative approximation through fitting a third-order polynomial [12].
Dose-response relationship was assessed by restricted cubic spline.
The applications chapter contains twenty topics, including cubic spline interpolation, graph theory, game strategy, computer graphics, medical CT imaging, cryptography, genetics, and internet search engines, among others.
The classification accuracy of the proposed Normalized Cubic Spline Feed Forward Neural Network (NCS- FFNN) is compared with RBF, CART and MLP.