INTERPOLAZIONE SPLINE PDF

Open Live Script Generate the plot of a circle, with the five data points y :,2 , The matrix y contains two more columns than does x. Therefore, spline uses y :,1 and y :,end as the endslopes. The circle starts and ends at the point 1,0 , so that point is plotted twice.

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Open Live Script Generate the plot of a circle, with the five data points y :,2 , The matrix y contains two more columns than does x. Therefore, spline uses y :,1 and y :,end as the endslopes. The circle starts and ends at the point 1,0 , so that point is plotted twice. Generate sine and cosine curves for a few values between 0 and 1. Use spline interpolation to sample the functions over a finer mesh. These functions all perform different forms of piecewise cubic Hermite interpolation.

Each function differs in how it computes the slopes of the interpolant, leading to different behaviors when the underlying data has flat areas or undulations.

Compare the interpolation results on sample data that connects flat regions. Create vectors of x values, function values at those points y, and query points xq. Compute interpolations at the query points using spline, pchip, and makima. Plot the interpolated function values at the query points for comparison. Perform a second comparison using an oscillatory sample function. Input Arguments x — x-coordinates vector x-coordinates, specified as a vector. The vector x specifies the points at which the data y is given.

The elements of x must be unique. Data Types: single double y — Function values at x-coordinates vector matrix array Function values at x-coordinates, specified as a numeric vector, matrix, or array. If y is a matrix or array, then the values in the last dimension, y :, In that case, the last dimension of y must be the same length as x or have exactly two more elements. The endslopes of the cubic spline follow these rules: If x and y are vectors of the same size, then the not-a-knot end conditions are used.

If x or y is a scalar, then it is expanded to have the same length as the other and the not-a-knot end conditions are used. If y is a vector that contains two more values than x has entries, then spline uses the first and last values in y as the endslopes for the cubic spline. The points specified in xq are the x-coordinates for the interpolated function values yq computed by spline. Data Types: single double.

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How do I access them? Version 2. What can I do about that? A cubic spline interpolates a smooth line through a given set of data points. Unlike a polynomial or other curve fits, a spline is forced to directly pass through all points in the data set.

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