| Spline Toolbox™ | |
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Function Reference |  Alphabetical List |
| GUIs |
Graphical interfaces that enable you to experiment with splines |
| Construction of Splines |
Create splines that satisfy conditions you specify |
| Operators |
Evaluate, plot, differentiate, integrate, find the zeros or the extrema of, or otherwise make use of, splines |
| Work with Breaks, Knots, and Sites |
Generate or modify breaks, knots, sites, or locate sites within a break or knot sequence |
| Customized Linear Equation Solver |
Linear equation solver customized for spline work |
| Information About Splines and the Toolbox |
Information about splines and the toolbox |
| Utilities |
Something for experts |
GUIs
| bspligui |
Experiment with B-spline as function of its knots |
| splinetool |
Experiment with some spline approximation methods |
Construction of Splines
| csape |
Cubic spline interpolation with end conditions |
| csapi |
Cubic spline interpolation |
| csaps |
Cubic smoothing spline |
| cscvn |
`Natural' or periodic interpolating cubic spline curve |
| getcurve |
Interactive creation of cubic spline curve |
| ppmak |
Put together spline in ppform |
| rpmak |
Put together rational spline in rpform |
| rscvn |
Piecewise biarc Hermite interpolation |
| rsmak |
Put together rational spline in rBform |
| spapi |
Spline interpolation |
| spaps |
Smoothing spline |
| spap2 |
Least-squares spline approximation |
| spcrv |
Spline curve by uniform subdivision |
| spmak |
Put together spline in B-form |
| stmak |
Put together function in stform |
| tpaps |
Thin-plate smoothing spline |
Operators
| fnbrk |
Name and part(s) of form |
| fnchg |
Change part(s) of form |
| fncmb |
Arithmetic with function(s) |
| fnder |
Differentiate function |
| fndir |
Directional derivative of function |
| fnint |
Integrate function |
| fnjmp |
Jumps, i.e., f(x+)-f(x-) |
| fnmin |
Minimum of function in given interval |
| fnplt |
Plot function |
| fnrfn |
Insert additional points into the partition of a form |
| fntlr |
Taylor coefficients or polynomial |
| fnval |
Evaluate function |
| fnxtr |
Extrapolate function |
| fnzeros |
Zeros of continuous function in given interval |
| fn2fm |
Convert to specified form |
Work with Breaks, Knots, and Sites
| aptknt |
Acceptable knot sequence |
| augknt |
Augment knot sequence |
| aveknt |
Provide knot averages |
| brk2knt |
Convert breaks with multiplicities into knots |
| chbpnt |
Good data sites, Chebyshev-Demko points |
| knt2brk |
Convert knots to breaks and their multiplicities |
| knt2mlt |
Knot multiplicities |
| newknt |
New break distribution |
| optknt |
Knot distribution `optimal' for interpolation |
| sorted |
Locate sites with respect to meshsites |
Customized Linear Equation Solver
| bkbrk |
Part(s) of almost block-diagonal matrix |
| slvblk |
Solve almost block diagonal linear system |
Information About Splines and the Toolbox
| bspline |
Display B-spline and its polynomial pieces |
| spterms |
Explanation of the Spline Toolbox™ terms |
Utilities
| franke |
Franke's bivariate test function |
| spcol |
B-spline collocation matrix |
| splpp |
Left Taylor coefficients from local B-coefficients |
| sprpp |
Right Taylor coefficients from local B-coefficients |
| stcol |
Scattered translates collocation matrix |
| subplus |
Positive part |
| titanium |
Titanium heat data |
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| Approximation by Tensor Product Splines | Functions — Alphabetical List | |
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