SURFACE FITTING

• 453,697,490 built-in equations
• 243 polynomials, including 18 Taylor series polynomials, 36 Chebyshev polynomials, 13 Fourier simple and true bivariate models, 9 Cosine Series models, 9 Sigmoid Series models
• 260 rationals, including 4 rationals with Taylor series numerators and denominators and 40 Chebyshev rationals
• 453,696,714 selective subset mixed basis function linear equations, of which up to 36,582 will be selected within a given fit
• 72 3D nonlinear peak equations
• 72 3D nonlinear transition equations
• 24 3D nonlinear exponential and power equations
• 4 robust plane equations
• Rapid searching, sorting, and filtering of equations
• User customizable equation sets
• Full control of fit process, including goodness of fit criteria, minimization, and other options
• Robust plane fitting option
• Three robust fitting methods available for all nonlinear equations and user functions

User-Defined Functions (UDFs)

• UDF editor with push-button help for inserting functions
• UDFs automatically compiled for speed
• Up to 15 UDFs can be fit at one time, each with up to 10 adjustable parameters
• Graphical UDF adjustment procedure for refining starting estimates
• UDFs can be saved as libraries

Non-Parametric Fitting

• Algorithms for gridded data include B-Spline, Bicubic+Akima, Akima III, B-Spl Var knots, NURBS
• Algorithms for scattered data include Akima I, Akima II, Preusser, Renka I,Renka II, Renka III, Watson, Loess
• Fill Sparse Grid option that uses scattered data interpolation algorithms to complete a sparse or incomplete grid
• Interpolate Uniform grid option that uses scattered data algorithms to generate a uniform grid of estimated values

Surface-Fit Analysis and Output :

Numerical:

• Evaluation option with automated table generation, includes function, derivatives, roots and cumulative volume
• Full numeric and statistical summary, including coefficients, standard error, confidence limits, ANOVA, goodness of fit, measured function minima and maxima
• Data summary with predicted values, residuals and confidence/prediction limits
• Precision summary and term significance analysis
• Quick Evaluation option for estimation at a point, minimum, maximum
• Save Quick Evaluation and Evaluation across all sessions
• Five levels of perspective for 3D viewing with full angular control of light source illumination
• Confidence/prediction intervals (90%, 95%, 99%, 99.9%, 99.99%)
• Intellimouse rotation of 3D view angles
• Inspect any of the five first or second order partial derivatives

Graphical:

• Surface-fit graph with customizable layout, backplanes, labels, grids, scaling, points, font, titles and resolution
• All customizations rendered in real time
• Fourteen types of gradient plots, including one each for Excel, Lotus and Quattro palettes
• Four types of shaded plots with full angular control of light source illumination
• Gradient and shaded plots use up to 32 colors
• Mesh resolution up to 120x120
• Contour plots can be added automatically
• Full animation of fitted surfaces
• Adjustable cache size and compression method for surface-fit graphs
• 3D Residuals graphs