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

Multi-dimensional Interpolation

Akima’s surface fitting method, SURF

Multidimensional interpolation and differentiation, SURFND

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