Polyinterp: Difference between revisions
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Estimates (yi) which is the smoothed values of (y)''' '''at the points in the vector (x). (If the points are evenly''' '''spaced use the SAVGOL function instead.) | Estimates (yi) which is the smoothed values of (y)''' '''at the points in the vector (x). (If the points are evenly''' '''spaced use the SAVGOL function instead.) | ||
==== | ====Inputs==== | ||
* '''y''' = (M by N) matrix. Note that (y) is a matrix of ROW''' '''vectors to be smoothed. | * '''y''' = (M by N) matrix. Note that (y) is a matrix of ROW''' '''vectors to be smoothed. | ||
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* '''x''' = (1 by N) corresponding axis vector at the points at''' '''which (y) is given. | * '''x''' = (1 by N) corresponding axis vector at the points at''' '''which (y) is given. | ||
==== | ====Optional Inputs==== | ||
* '''xi''' = a vector of points to interpolate to. | * '''xi''' = a vector of points to interpolate to. | ||
Revision as of 17:35, 3 September 2008
Purpose
Polynomial interpolation, smoothing, and differentiation.
Synopsis
- yi = polyinterp(x,y,xi,width,order,deriv);
Description
Estimates (yi) which is the smoothed values of (y) at the points in the vector (x). (If the points are evenly spaced use the SAVGOL function instead.)
Inputs
- y = (M by N) matrix. Note that (y) is a matrix of ROW vectors to be smoothed.
- x = (1 by N) corresponding axis vector at the points at which (y) is given.
Optional Inputs
- xi = a vector of points to interpolate to.
- width = specifies the number of points in the filter {default = 15}.
- order = the order of the polynomial {default = 2}.
- deriv = the derivative {default = 0}.
Examples
If y is a 5 by 100 matrix, x is a 1 by 100 vector, and xi is a 1 by 91 vector then polyinterp(x,y,xi,11,3,1) gives the 5 by 91 matrix of first-derivative row vectors resulting from an 11-point cubic interpolation to the 91 points in xi.