# Created by Octave 3.6.1, Fri Mar 30 13:10:46 2012 UTC <root@t61>
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catmullrom


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 -- Function File: PP = catmullrom( X, F, V)
     Returns the piecewise polynomial form of the Catmull-Rom cubic
     spline interpolating F at the points X.  If the input V is
     supplied it will be interpreted as the values of the tangents at
     the extremals, if it is missing, the values will be computed from
     the data via one-sided finite difference formulas. See the
     wikipedia page for "Cubic Hermite spline" for a description of the
     algorithm.

     See also: ppval





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Returns the piecewise polynomial form of the Catmull-Rom cubic spline
interpolat



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csape


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 -- Function File: PP =  csape (X, Y, COND, VALC)
     cubic spline interpolation with various end conditions.  creates
     the pp-form of the cubic spline.

     the following end conditions as given in COND are possible.
    'complete'
          match slopes at first and last point as given in VALC

    'not-a-knot'
          third derivatives are continuous at the second and second
          last point

    'periodic'
          match first and second derivative of first and last point

    'second'
          match second derivative at first and last point as given in
          VALC

    'variational'
          set second derivative at first and last point to zero
          (natural cubic spline)

     See also: ppval, spline





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cubic spline interpolation with various end conditions.



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csapi


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 -- Function File: PP =  csapi (X, Y)
 -- Function File: YI =  csapi (X, Y, XI)
     cubic spline interpolation

     See also: ppval, spline, csape





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cubic spline interpolation




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fnder


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 -- Function File:   fnder (PP, ORDER)
     differentiate the spline in pp-form

     See also: ppval





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differentiate the spline in pp-form




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fnplt


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 -- Function File:   fnplt (PP, 'PLT')
     plots spline

     See also: ppval, spline, csape





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plots spline




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fnval


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 r = fnval(pp,x) or r = fnval(x,pp)
 Compute the value of the piece-wise polynomial pp at points x.



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 r = fnval(pp,x) or r = fnval(x,pp)
 Compute the value of the piece-wise polynom