Curve and Surface Fitting with Splines
Returns the derived type array result............................................. SPLINE_CONSTRAINTS
Returns an array result, given an
array
of
input................................................................................................
SPLINE_VALUES
Weighted least-squares fitting by
B-splines to discrete
One-Dimensional data is
performed......................................................... SPLINE_FITTING
Returns the derived type array
result given
optional
input..........................................................................
SURFACE_CONSTRAINTS
Returns a tensor product array
result, given two arrays of
independent variable
values................................................................ SURFACE_VALUES
Weighted least-squares fitting by
tensor product
B-splines to discrete two-dimensional data
is
performed......................................................................................
SURFACE_FITTING
Cubic Spline Interpolation
Easy to use cubic spline routine............................................................................. CSIEZ
Not-a-knot............................................................................................................. CSINT
Derivative end conditions...................................................................................... CSDEC
Hermite............................................................................................................... CSHER
Akima................................................................................................................ CSAKM
Shape preserving................................................................................................. CSCON
Periodic.............................................................................................................. CSPER
Cubic Spline Evaluation and Integration
Evaluation............................................................................................................ CSVAL
Evaluation of the derivative.................................................................................... CSDER
Evaluation on a grid.............................................................................................. CS1GD
Integration............................................................................................................. CSITG
B-spline Interpolation
Easy to use spline routine..................................................................................... SPLEZ
One-dimensional interpolation................................................................................. BSINT
Knot sequence given interpolation data.................................................................. BSNAK
Optimal knot sequence given interpolation data...................................................... BSOPK
Two-dimensional tensor product interpolation............................................................ BS2IN
Three-dimensional tensor product interpolation......................................................... BS3IN
Spline Evaluation, Integration, and Conversion to Piecewise Polynomial Given the B-spline Representation
Evaluation............................................................................................................ BSVAL
Evaluation of the derivative.................................................................................... BSDER
Evaluation on a grid.............................................................................................. BS1GD
One-dimensional integration................................................................................... BSITG
Two-dimensional evaluation.................................................................................... BS2VL
Two-dimensional evaluation of the derivative............................................................ BS2DR
Two-dimensional evaluation on a grid..................................................................... BS2GD
Two-dimensional integration.................................................................................... BS2IG
Three-dimensional evaluation................................................................................. BS3VL
Three-dimensional evaluation of the derivative.......................................................... BS3DR
Three-dimensional evaluation on a grid................................................................... BS3GD
Three-dimensional integration................................................................................. BS3IG
Convert B-spline representation to piecewise polynomial......................................... BSCPP
Piecewise Polynomial
Evaluation............................................................................................................ PPVAL
Evaluation of the derivative.................................................................................... PPDER
Evaluation on a grid.............................................................................................. PP1GD
Integration............................................................................................................. PPITG
Quadratic Polynomial Interpolation Routines for Gridded Data
One-dimensional evaluation................................................................................... QDVAL
One-dimensional evaluation of the derivative........................................................... QDDER
Two-dimensional evaluation................................................................................... QD2VL
Two-dimensional evaluation of the derivative............................................................ QD2DR
Three-dimensional evaluation................................................................................. QD3VL
Three-dimensional evaluation of the derivative.......................................................... QD3DR
Scattered Data Interpolation
Akima's surface fitting method................................................................................ SURF
Least-Squares Approximation
Linear polynomial................................................................................................... RLINE
General polynomial.............................................................................................. RCURV
General functions................................................................................................. FNLSQ
Splines with fixed knots........................................................................................ BSLSQ
Splines with variable knot...................................................................................... BSVLS
Splines with linear constraints............................................................................... CONFT
Two-dimensional tensor-product splines with fixed knots.......................................... BSLS2
Three-dimensional tensor-product splines with fixed knots........................................ BSLS3
Cubic Spline Smoothing
Smoothing by error detection................................................................................ CSSED
Smoothing spline................................................................................................ CSSMH
Smoothing spline using cross-validation................................................................. CSSCV
Rational L∞ Approximation
Rational Chebyshev.............................................................................................. RATCH
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