smooth smoothing by spline functions

## Syntax

    [pt]=smooth(ptd [,step])

## Arguments

ptd

  (2xn) real vector

step

  real (discretization step of abscissae)

pt

  (2xn) real vector

## Description

this function computes interpolation by spline functions for a given set of points in the plane. The coordinates are `(ptd(1,i),ptd(2,i))`. The components `ptd(1,:)` must be in ascending order. The default value for the step is `abs(max(ptd(1,:))-min(ptd(1,:)))/100`

## Examples

    x=[1 10 20 30 40];
    y=[1 30 -10 20 40];
    plot2d(x',y',[3],"011"," ",[-10,-40,50,50]);
    yi=smooth([x;y],0.1);
    plot2d(yi(1,:)',yi(2,:)',[1],"000");

x=[1 10 20 30 40]; y=[1 30 -10 20 40]; plot2d(x',y',[3],"011"," ",[-10,-40,50,50]); yi=smooth([x;y],0.1); plot2d(yi(1,:)',yi(2,:)',[1],"000");

## See also

- splin
- interp
- interpln