# Curve Fitting

Curve fitting is the process of constructing a curve, or mathematical function, that has the best fit to a series of data points, possibly subject to constraints. Curve fitting can involve either interpolation, where an exact fit to the data is required, or smoothing, in which a "smooth" function is constructed that approximately fits the data. A related topic is regression analysis, which focuses more on questions of statistical inference such as how much uncertainty is present in a curve that is fit to data observed with random errors. Fitted curves can be used as an aid for data visualization, to infer values of a function where no data are available, and to summarize the relationships among two or more variables. Extrapolation refers to the use of a fitted curve beyond the range of the observed data, and is subject to a greater degree of uncertainty since it may reflect the method used to construct the curve as much as it reflects the observed data.

### Other articles related to "curve fitting":

Table Curve 2D
... TableCurve 2D is a linear and non-linear Curve fitting software package for engineers and scientists that automates the curve fitting process and in a single processing ... TableCurve 2D saves time by taking the endless trial and error out of curve fitting and that can help solve complex science and engineering problems faster ...
Kalman Filter - Kalman’s Original Filter Derivation - Orthogonal Projection
... a solution – which is well known as curve fitting à la Gauss and Kalman’s actual derivation under his rubric “Solution of the Wiener Problem" ... Another is Kalman's actual curve fitting approach under his rubric “Solution of the Wiener Problem” (data onto solution), which mimics the deterministic Gaussian curve fitting method ...
Difference Engine - Initial Values - Curve Fitting
... A solution which guarantees a constant maximum error is to use curve fitting ... Using a curve fitting technique like Gaussian reduction an N-1th degree polynomial interpolation of the function is found ...
Curve Fitting - Software
... software such as the GNU Scientific Library, SciPy and OpenOpt include commands for doing curve fitting in a variety of scenarios ... There are also programs specifically written to do curve fitting they can be found in the lists of statistical and numerical analysis programs as well as in ...

### Famous quotes containing the words fitting and/or curve:

We do not quite say that the new is more valuable because it fits in; but its fitting in is a test of its value—a test, it is true, which can only be slowly and cautiously applied, for we are none of us infallible judges of conformity.
—T.S. (Thomas Stearns)

The years-heired feature that can
In curve and voice and eye
Despise the human span
Of durance—that is I;
The eternal thing in man,
That heeds no call to die.
Thomas Hardy (1840–1928)