Algorithm Univariate Teomterpolation of Piecewise Function


Abstract in English

Algorithm of fitting curves based on piecewise function composed of a set of third degree polynomials is presented in this paper. These polynomials are applicable to successive intervals of the given data points. This algorithm applied to the method of univariate interpolation, which developed by the author [٦]. This method depends on the values of the first order derivative at the data points.

References used

Akima. H, (١٩٦٩), a method of smooth curve fitting, ESS technical report no. ١٠١- ITS ٧٣, U.S. Government printing office, Washington, D.C
Akima. H, (١٩٧٠), anew method of interpolation and smooth curve fitting based on local procedures, ACM, vol. ١٧, pp. ٥٨٩-٦٠٢

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