TableCurve 3D Surface Fitting

Grafiti LLC

3D surface fitting features in TableCurve 3D are listed below:

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

Algorithms for gridded data include B-Spline, Bicubic+Akima, Akima III, B-Spl Var knots, NURBS
Algorithms for gridded data include B-Spline, Bicubic+Akima, Akima III, B-Spl Var knots, NURBS
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

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

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 120×120
Contour plots can be added automatically
Full animation of fitted surfaces
Adjustable cache size and compression method for surface-fit graphs
Adjustable cache size and compression method for surface-fit graphs
3D Residuals graphs