# NAG FL InterfaceE02 (Fit)Curve and Surface Fitting

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E02 (Fit) Chapter Introduction – A description of the Chapter and an overview of the algorithms available.

Routine
Mark of
Introduction

Purpose
Least squares curve fit, by polynomials, arbitrary data points
e02aef 5 nagf_fit_dim1_cheb_eval
Evaluation of fitted polynomial in one variable from Chebyshev series form (simplified parameter list)
e02aff 5 nagf_fit_dim1_cheb_glp
Least squares polynomial fit, special data points (including interpolation)
e02agf 8 nagf_fit_dim1_cheb_con
Least squares polynomial fit, values and derivatives may be constrained, arbitrary data points
e02ahf 8 nagf_fit_dim1_cheb_deriv
Derivative of fitted polynomial in Chebyshev series form
e02ajf 8 nagf_fit_dim1_cheb_integ
Integral of fitted polynomial in Chebyshev series form
e02akf 8 nagf_fit_dim1_cheb_eval2
Evaluation of fitted polynomial in one variable from Chebyshev series form
e02alf 25 nagf_fit_dim1_minimax_polynomial
Minimax curve fit by polynomials
e02baf 5 nagf_fit_dim1_spline_knots
Least squares curve cubic spline fit (including interpolation)
e02bbf 5 nagf_fit_dim1_spline_eval
Evaluation of fitted cubic spline, function only
e02bcf 7 nagf_fit_dim1_spline_deriv
Evaluation of fitted cubic spline, function and derivatives
e02bdf 7 nagf_fit_dim1_spline_integ
Evaluation of fitted cubic spline, definite integral
e02bef 13 nagf_fit_dim1_spline_auto
Least squares cubic spline curve fit, automatic knot placement
e02bff 24 nagf_fit_dim1_spline_deriv_vector
Evaluation of fitted cubic spline, function and optionally derivatives at a vector of points
e02caf 7 nagf_fit_dim2_cheb_lines
Least squares surface fit by polynomials, data on lines parallel to one independent coordinate axis
e02cbf 7 nagf_fit_dim2_cheb_eval
Evaluation of fitted polynomial in two variables
e02daf 6 nagf_fit_dim2_spline_panel
Least squares surface fit, bicubic splines
e02dcf 13 nagf_fit_dim2_spline_grid
Least squares surface fit by bicubic splines with automatic knot placement, data on rectangular grid
e02ddf 13 nagf_fit_dim2_spline_sctr
Least squares surface fit by bicubic splines with automatic knot placement, scattered data
e02def 14 nagf_fit_dim2_spline_evalv
Evaluation of fitted bicubic spline at a vector of points
e02dff 14 nagf_fit_dim2_spline_evalm
Evaluation of fitted bicubic spline at a mesh of points
e02dhf 23 nagf_fit_dim2_spline_derivm
Evaluation of spline surface at mesh of points with derivatives
e02gaf 7 nagf_fit_glin_l1sol
${L}_{1}$-approximation by general linear function
e02gbf 7 nagf_fit_glinc_l1sol
${L}_{1}$-approximation by general linear function subject to linear inequality constraints
e02gcf 8 nagf_fit_glin_linf
${L}_{\infty }$-approximation by general linear function
e02jdf 24 nagf_fit_dim2_spline_ts_sctr
Spline approximation to a set of scattered data using a two-stage approximation method
e02jef 24 nagf_fit_dim2_spline_ts_evalv
Evaluation at a vector of points of a spline computed by e02jdf
e02jff 24 nagf_fit_dim2_spline_ts_evalm
Evaluation at a mesh of points of a spline computed by e02jdf