TableCurve
3D® gives scientists and engineers the power to find
the ideal model for even the most complex data, including equations
that might never have been considered. TableCurve 3D’s built-in
equation set includes a wide array of linear and nonlinear models
for any application:
Linear equations
Polynominal and rational functions
Logrithmic and exponential functions
Nonlinear peak functions
Nonlinear transition functions
Nonlinear exponential and power equations
User-defined functions (up to 15)
TableCurve 3D’s state-of-the-art surface
fitting includes capabilities not found in other software packages:
In addition to standard least squares
minimization, TableCurve 3D’s non-linear engine is capable of
three different robust estimations: least absolute deviation,
Lorentzian minimization and Pearson VII Limit minimization
Option to change the maximum number of
terms permitted when fitting linear equations (minimum 3; maximum
11)
On systems that support multi-threading,
TableCurve 3D’s Background Thread Processing option allows fitting
to occur without any form of user input
Option to set the default term significance
anywhere from 1 to 15.
Automation Takes The Trial And Error
Out Of Curve Fitting
Using its selective subset
procedure, TableCurve 3D will fit 36,000 of the over 450 million built-in
equations or just the ones you need — instantly. With TableCurve 3D,
a single mouse click is all it takes to start the automated curve
fitting process — there is no set up required! You can even enter
your own specialty models to be fit and ranked along with the built-in
equations. TableCurve saves you precious time because it takes the
endless trial and error out of curve fitting.
Fit User-Defined Functions
Up to 15 user-defined
equations can be entered and ranked along with the built-in equations.
These specialized models can contain most mathematical constructs,
including special functions, series convergence and conditional statements,
differentiations, integrations and parameter constraints.
TableCurve 3D even offers the option of graphically adjusting equation
parameters to assure convergence for the fit of user-defined models.
Unlike most surface fitting programs, TableCurve 3D’s user-defined
functions are compiled so they can be fitted at nearly the speed of
the built-in equations. For maximum flexibility, TableCurve 3D gives
you the option to save your functions as individual files, in libraries
or both.
Visually Discover
the Best Equation to Model your Data :
Graphically Review Surface Fit Results
Once your
XYZ data have been fit, TableCurve 3D automatically sorts and plots
the fitted equations by the statistical criteria you select (r2,
DOF adjusted r2, Fit Standard Error or the F Statistic). Graphically
review the fitted results as you scroll through the equation list.
A 3D residuals graph as well as parameter output are generated for
each fitted equation. Add confidence or prediction intervals to
the graph to detect outliers in your data. You can also automatically
display a 2D contour plot on the top and bottom of the surface fit
graph to get another view of your data. Data, statistical and numeric
summaries are also available from within the Review Surface Fit
window so you can further analyze fit results.
Viewing a surface fit from
all angles is imperative in determining whether or not a given fit
is accurate. Using a simple interface, TableCurve 3D lets you view
a graph from any angle. It will even animate the graph automatically
in a specified XY and/or Z angle sequence. Just sit back and observe
every nuance within the fit. TableCurve 3D gives you all of the tools
you need to discover the model that best meets your requirements for
the ideal fit.
Flexible Output Options
Output TableCurve 3D’s publication-quality
graphs in black and white or color, portrait or landscape. You can
also produce files containing data and equations in Lotus, Excel,
ASCII, Quattro Pro and SigmaPlot formats. TableCurve 3D can speed
up your programming by generating actual function code and test routines
for all fitted equations in FORTRAN, C, Basic and Pascal.
With All This Power, it’s Still Easy
to Use!
TableCurve 3D takes full
advantage of the Windows graphical user interface to simplify every
aspect of operation — from data import to output of results. Import
data from many popular file formats including SigmaPlot, Excel, Lotus,
SPSS and ASCII. Once your data are in the TableCurve editor, start
the automatic fitting process with a single mouse click. Choose to
fit all equations, select a group of equations or create a custom
equation set. All equations are readily available from the Toolbar
or TableCurve’s Process Menu. You can even set up TableCurve 3D to
begin fitting the moment data are imported or modified with Background
Thread Processing Fitting. Users consistently comment that — out of
the box, without reading the instructions — TableCurve is highly intuitive,
easy-to-use and remarkably simple to learn.
Eliminate Tedious Data Analysis Chores
with TableCurve 3D
TableCurve
3D is the first and only program that combines a powerful surface
fitter with the ability to find the ideal equation to describe three
dimensional empirical data. TableCurve 3D uses a selective subset
procedure to fit 36,000 of its 453,697,387 built-in equations from
all disciplines to find the one that provides the ideal fit – instantly!
What once could take days of tedious work now takes minutes, with
a much more powerful result.
TableCurve 3D Solves Complex Science
and Engineering Problems Faster
Optimize product and process performance
Quickly calibrate sensors
Understand complex chemical kinetics
Reduce empirical data to a simple equation
Stabilize systems with dynamic feedback
Any general surface-fitting application
TableCurve 3D’s fitting speed
is impressive, but so are the extensive results it provides. Once
the fit is complete, TableCurve presents you with a statistically
ranked list of the best fit equations. You are given all of the information
you need to choose the equation that best meets your requirements
for the ideal fit. Once you have selected the best fit equation, output
high-quality function and test programming code. You can also generate
comprehensive reports as well as publication-quality graphs. And,
TableCurve 3D easily transfers data and equations to and from all
popular Windows applications, including Excel. No other fitting program
offers this much versatility and power.
Need 2D data-fitting capabilities?
TableCurve 2D fits and ranks almost 3,665 built-in
equations to your data in seconds. TableCurve 2D/’s comprehensive
data, statistical and numeric summaries combined with its publication-quality
2D graphs give you the power to quickly and easily find the best model
for your XY data.
Model exotic data sets
For those rare equations
that cannot be adequately managed by a parametric model, TableCurve
3D offers advanced non-parametric procedures for gridded and scattered
data. For gridded data, five state-of-the-art true algorithms are
included, the main ones being the tensor product splines. For scattered
data, eight different algorithms are available. TableCurve 3D also
offers the Fill Sparse Grid option is generally used for grid-based
data with incomplete elements, as occur with incomplete sampling,
from the removal of outliers, and from the deliberately sparse design
of experiments matrices. If you need to generate exact interpolated
data on a uniform grid, possibly to constrain parametric fits in regions
lacking data, the Interpolate Uniform Grid option offers an automatic
solution.
