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Mth Order Piecewise Spline Interpolation

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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.

Mth Order Piecewise Spline Interpolation

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

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

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