Multidimensional data interpolation (table lookup) de Boor, C., A Practical Guide to Splines, Springer-Verlag, 1978.Interpn (MATLAB Functions) MATLAB Function Reference Interpft, interp2, interp3, interpn, pchip, spline See the pchip reference page for more information. This method preserves monotonicity and the shape of the data. For access to more advanced features, see the spline reference page, the M-file help for these functions, and the Spline Toolbox.įor the ' pchip' and 'cubic' methods, interp1 calls a function pchip that performs piecewise cubic interpolation within the vectors x and y. spline uses them to perform the cubic spline interpolation. These routines form a small suite of functions for working with piecewise polynomials. The ' nearest' and ' linear' methods have straightforward implementations.įor the ' spline' method, interp1 calls a function spline that uses the functions ppval, mkpp, and unmkpp. Then the population in 1975, obtained by table lookup within the matrix tab, is If a portion of the census data is stored in a single 5-by-2 table, Sometimes it is more convenient to think of interpolation in table lookup terms, where the data are stored in a single table. Now interpolate within the data at every year from 1900 to 2000, and plot the result. The expression interp1(t,p,1975) interpolates within the census data to estimate the population in 1975. P = Here are two vectors representing the census years from 1900 to 1990 and the corresponding United States population in millions of people. Generate a coarse sine curve and interpolate over a finer abscissa.Įxample 2. Type help interp1q at the command line for more information.Įxample 1. For interp1q to work properly, x must be a monotonically increasing column vector and Y must be a column vector or matrix with length(X) rows. Note interp1q is quicker than interp1 on non-uniformly spaced data because it does no input checking. Described in table lookup terms, the table is and interp1 looks up the elements of xi in x, and, based upon their locations, returns values yi interpolated within the elements of Y. Interpolation is the same operation as table lookup. This function is shown below, along with the relationship between vectors x, Y, xi, and yi. It finds values at intermediate points, of a one-dimensional function that underlies the data. The interp1 command interpolates between data points.
Returns the scalar extrapval for out of range values. Uses the specified method to perform extrapolation for out of range values. For all other methods, interp1 performs extrapolation for out of range values. If Y is a matrix, then the interpolation is performed for each column of Y and yi is length(xi)-by- size(Y,2).Īssumes that x = 1:N, where N is the length of Y for vector Y, or size(Y,1) for matrix Y.įor the 'nearest', 'linear', and 'v5cubic' methods, interp1(x,Y,xi,method) returns NaN for any element of xi that is outside the interval spanned by x. The vector x specifies the points at which the data Y is given. Returns vector yi containing elements corresponding to the elements of xi and determined by interpolation within vectors x and Y. One-dimensional data interpolation (table lookup) Interp1 (MATLAB Functions) MATLAB Function Reference
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