# Cubic spline interpolation

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# Cubic spline interpolation

s = **spline** (x,y,xq) returns a vector of interpolated values s corresponding to the query points in xq. The values of s are determined by **cubic** **spline** **interpolation** of x and y. example. pp = **spline** (x,y) returns a piecewise polynomial structure for use by ppval and the **spline** utility unmkpp.

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points to an instance of the floating-point **spline** structure. [in] type: type of **cubic spline interpolation** (boundary conditions) [in] x: points to the x values of the known data points. [in] y: points to the y values of the known data points. [in] n: number of known data points. [in] coeffs: coefficients array for b, c, and d [in] tempBuffer.

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Abstract. Aiming at the problem of smoothness of the B-**spline** curve **interpolation** , an improved parameterized **interpolation** method based on modified chord length is proposed. We construct a series of **interpolation** arcs using the relationship between the chord length and chord angle of given data points and then calculate the global knot parameters by replacing the chord length. PCHIP (Piecewise **Cubic** **Interpolation** Package) is a set of subroutines for piecewise **cubic** Hermite **interpolation** of data. It features software to produce a monotone and "visually pleasing" interpolant to monotone data. Such an interpolant may be more reasonable than a **cubic** **spline** if the data contain both 'steep' and 'flat' sections.

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**Cubic Spline Interpolation** of a Circle Hey there - Thanks for the great tutorials - they really helped me! I'm trying to duplicate your results for **cubic interpolation** of a circle with 4 points and I got the same solution for the 2nd derivatives in the x and y directions. However, when I solve for the coefficients and plot the **cubic** polynomials.

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