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Mth Order Piecewise Spline Interpolation

5.0

5.0 | 2 ratings Rate this file 39 Downloads (last 30 days) File Size: 52 KB File ID: #22912
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Mth Order Piecewise Spline Interpolation

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07 Feb 2009 (Updated )

A GUI that plots and gives equations for variable order intermediate splines.

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Description

GSP is a graphical user interface which takes x and y points as inputs, along with the order m, then outputs mth order splines between each of the x points. In most cases additional constraints are to be entered as well.
  
  Example:
  
  Input:
  
  x points : [1 2 3 4]
  y points : [2 7 -1 5]
  Order : 2
  *One Additional Constraint is Required*
  f '' (1) = 0
  
  Output:

  Polynomials:
    0 5 -3
  -13 57 -55
   27 -183 305
  
  In the Range:
  1 2
  2 3
  3 4
  
  This means the following:
  
  for 1 < x < 2 y = 0*x^2 + 5*x - 3
  for 2 < x < 3 y = -13*x^2 + 57*x - 55
  for 3 < x < 4 y = 27*x^2 - 183*x + 305

Acknowledgements

Matlab Earthquake inspired this file.

MATLAB release MATLAB 8.0 (R2012b)
Other requirements Acknowledged file MATLAB Earthquake (Optional)
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Comments and Ratings (4)
18 Apr 2011 Oday  
26 Jan 2010 Husam Aldahiyat

Yes, manually put (paste) the points in the x and y edit boxes.

26 Jan 2010 Jon Griffiths

Could the author clarify how to enter data points?
Or is it intended to do this manually!

09 Jun 2009 badr Higab

great code

Updates
09 Feb 2009

Corrected bug, added continuity button and integrated examples, improved code.

12 Sep 2012

Updated to include an App file for R2012b

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