Cubic spline data interpolator. Interpolate data with a piecewise cubic polynomial which is twice continuously differentiable . The result is represented as a PPoly instance with breakpoints matching the given data. Parameters: x array_like, shape (n,) 1-D array containing values of the independent variable.

If you have scipy version >= 0.18.0 installed you can use CubicSpline function from scipy.interpolate for cubic spline interpolation. You can check scipy version by running following commands in python:

Use CubicSpline to plot the cubic spline interpolation of the data set x = [0, 1, 2] and y = [1, 3, 2] for \(0\le x\le2\).

Jul 18, 2021 · Cubic spline interpolation is a way of finding a curve that connects data points with a degree of three or less. Splines are polynomial that are smooth and continuous across a given plot and also continuous first and second derivatives where they join.

Apr 5, 2015 · For interpolation, you can use scipy.interpolate.UnivariateSpline(..., s=0). It has, among other things, the integrate method. EDIT: s=0 parameter to UnivariateSpline constructor forces the spline to pass through all the data points.

Dec 5, 2019 · def cubic_spline(x, y, tol = 1e-100): """ Interpolate using natural cubic splines. Generates a strictly diagonal dominant matrix then applies Jacobi's method.

Mar 26, 2012 · def cubic_spline(xx, yy): """function cubic_spline(xx,yy) interpolates between the knots specified by lists xx and yy. The function returns the coefficients and ranges of the piecewise cubic splines."""

In Python, we can use the CubicSpline function from the scipy.interpolate module to perform cubic spline interpolation. The CubicSpline function takes as input two arrays, x and y , that represent the x-coordinates and y-coordinates of the data points, respectively.

scipy.interpolate.CubicSpline() is a function in SciPy that performs cubic spline interpolation. This method for constructing smooth curves through a set of points. When the given arrays of x and y coordinates then CubicSpline() creates a piecewise cubic polynomial that passes through each data point with continuous first and second derivatives.

Mar 11, 2025 · This tutorial covers spline interpolation in Python, explaining its significance and how to implement it using libraries like SciPy. Learn about cubic and B-spline interpolation methods, complete with code examples and detailed explanations.