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Surface Fitting
TableCurve 3D Surface Fitting Features
3D surface fitting features in TableCurve 3D are listed below:
Technical Specifications
- 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 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
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 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