Surface Fitting

Interactive Surface Fitting

To interactively fit a surface, follow the steps in this simple example:

  1. Load some data at the MATLAB® command line.

    load franke
  2. Open the Curve Fitting app. Enter:

    cftool
  3. In the Curve Fitting app, select X Data, Y Data and Z Data.

    Curve Fitting app creates a default interpolation fit to the data.

  4. Choose a different model type using the fit category drop-down list, e.g., select Polynomial.

  5. Try different fit options for your chosen model type.

  6. Select File > Generate Code.

    Curve Fitting app creates a file in the Editor containing MATLAB code to recreate all fits and plots in your interactive session.

For more information about fitting surfaces in the Curve Fitting app, see Interactive Curve and Surface Fitting.

For details and examples of specific model types and fit analysis, see the following sections:

  1. Linear and Nonlinear Regression

  2. Interpolation

  3. Smoothing

  4. Fit Postprocessing

Programmatic Surface Fitting

To programmatically fit a surface, follow the steps in this simple example:

  1. Load some data.

    load franke
  2. Create a fit using the fit function, specifying the variables and a model type (in this case poly23 is the model type).

     f = fit( [x, y], z, 'poly23' )
  3. Plot your fit and the data.

    plot(f, [x,y], z)

To programmatically fit surfaces, see the following topics:

  1. Curve and Surface Fitting

  2. Curve and Surface Fitting Objects and Methods

For details and examples of specific model types and fit analysis, see the following sections:

  1. Linear and Nonlinear Regression

  2. Interpolation

  3. Smoothing

  4. Fit Postprocessing

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