MATLAB: Basic fitting MATLAB: Fitting the data with approximate curve.

2d plotbasic fittingdata analysisgraph plotMATLABprocessing graph plot

I have plotted X-Y data using MATLAB (image on left in fig.), I have total 19300 data points which I got from experiments. I have used tools like "spline interpolant", "shape-preserving interpolat" etc to do basic fitting, but it does not satisfy my requirement. What I want is smooth curve which should look like red curve shown in figure (right fig.). Further, I also want to get information out of red curve, for example slope of the curve at various points on red curve. Can you please suggest me an appropriate tool for these two purposes. Thank you.

Best Answer

Use "curve fitting" app, upload the data points and use smoothing curve option.

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MATLAB: Data fitting

This is easy with the Ezyfit toolbox: http://www.mathworks.com/matlabcentral/fileexchange/10176

Plot your data, and type showfit('P(t) = exp(a*(t - t_0)^2 + b*(t - t_0) + c*(t - t_0))')

See the doc to specify starting values for the parameters a b c and t0.

I hope this helps, F. Moisy

MATLAB: Matlab curve fitting tool automation for selection of fit with minimum sse.

You could certainly write your own function by using the gof output of the "fit" function.

Here is an example that shows you how to use the "fit" to see the Goodness of Fit of different methods. You could store the "gof" values in an array and find the max GoF.

function bestFitName = Gof_Finder( x, y )
    Fits = {'poly1', 'poly2', 'poly3', 'exp1'};
      for i=1:numel(Fits)
          [~,GoFs(i)] = fit( x, y,  Fits{i} );
      end
      [~, minIdx] = min([GoFs.sse]);
      bestFitName = Fits{minIdx};
  end

The above function will return the name of the best fit of the data x and y.

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MATLAB: Data fitting

MATLAB: Matlab curve fitting tool automation for selection of fit with minimum sse.

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