1 # Created by Octave 3.6.1, Fri Mar 30 13:10:46 2012 UTC <root@t61>
13 # name: <cell-element>
17 -- Function File: PP = catmullrom( X, F, V)
18 Returns the piecewise polynomial form of the Catmull-Rom cubic
19 spline interpolating F at the points X. If the input V is
20 supplied it will be interpreted as the values of the tangents at
21 the extremals, if it is missing, the values will be computed from
22 the data via one-sided finite difference formulas. See the
23 wikipedia page for "Cubic Hermite spline" for a description of the
32 # name: <cell-element>
36 Returns the piecewise polynomial form of the Catmull-Rom cubic spline
41 # name: <cell-element>
48 # name: <cell-element>
52 -- Function File: PP = csape (X, Y, COND, VALC)
53 cubic spline interpolation with various end conditions. creates
54 the pp-form of the cubic spline.
56 the following end conditions as given in COND are possible.
58 match slopes at first and last point as given in VALC
61 third derivatives are continuous at the second and second
65 match first and second derivative of first and last point
68 match second derivative at first and last point as given in
72 set second derivative at first and last point to zero
73 (natural cubic spline)
75 See also: ppval, spline
81 # name: <cell-element>
85 cubic spline interpolation with various end conditions.
89 # name: <cell-element>
96 # name: <cell-element>
100 -- Function File: PP = csapi (X, Y)
101 -- Function File: YI = csapi (X, Y, XI)
102 cubic spline interpolation
104 See also: ppval, spline, csape
110 # name: <cell-element>
114 cubic spline interpolation
119 # name: <cell-element>
126 # name: <cell-element>
130 -- Function File: fnder (PP, ORDER)
131 differentiate the spline in pp-form
139 # name: <cell-element>
143 differentiate the spline in pp-form
148 # name: <cell-element>
155 # name: <cell-element>
159 -- Function File: fnplt (PP, 'PLT')
162 See also: ppval, spline, csape
168 # name: <cell-element>
177 # name: <cell-element>
184 # name: <cell-element>
188 r = fnval(pp,x) or r = fnval(x,pp)
189 Compute the value of the piece-wise polynomial pp at points x.
193 # name: <cell-element>
197 r = fnval(pp,x) or r = fnval(x,pp)
198 Compute the value of the piece-wise polynom