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## Poly Spline Interpolation with Pth Continuous Derivatives

version 1.0.0 (2.73 KB) by Mohammad Al-Fetyani

This function fits a polynomial splines of order m with pth continuous derivatives to a given data (x,y).

Updated 01 Jan 2019

% polysplinefitc
% This function fits a polynomial splines of order m with pth continuous
% derivatives to a given data (x,y).
% it is valid for one dimension only.
% the function uses interpolation approach so it is not suitable for
% noisy data
% ----------------------------------------------
% inputs
% x x data must be increasing. ex x = [1,2,3]
% y f(x)
% m polynomial order for each spline
% p number of continuous derivatives
% cond the addition conditions needed to compute the splines
% it's given by spline initial derivative values
% for the first and last spline only.
% cond rows number = spline order - 1.
% ploty 1 to show plots of the splines and their derivatives
%
% cond form is [spline,derivative_order,value_of_the_derivative]
% spline : 1 for the first spline
% 2 for the last splines
% ex:
% cond = [1 1 0;2 1 0]
% this means that the value of the first derivative of the first spline
% is zero and the value of the first derivative of the last spline is zero
%
% ---------------------------------------------------------------------
% output
% sol spline between each x
% ---------------------------------------------------------------------
% example
% x = [0 2 4 6 8];
% y = [0 2.2484 2.3164 2.5413 2.8626];
% m = 4;
% p = 2;
% cond = [1 1 0;2 1 0;1 2 0;2 2 0];
% sol = polysplinefitc(x,y,m,p,cond,0)
%
% University of Jordan

### Cite As

Mohammad Al-Fetyani (2020). Poly Spline Interpolation with Pth Continuous Derivatives (https://www.mathworks.com/matlabcentral/fileexchange/69863-poly-spline-interpolation-with-pth-continuous-derivatives), MATLAB Central File Exchange. Retrieved .

Ahamd Jamal

### Ahamd Jamal (view profile)

Muhammed Al-brham

### Muhammed Al-brham (view profile)

##### MATLAB Release Compatibility
Created with R2018b
Compatible with any release
##### Platform Compatibility
Windows macOS Linux