MATLAB: How to know the volume behind a surface

Curve Fitting Toolboxsurface fitting integrationsurface integration

Hi! I imported some data x,y,z. z plotted against x and y creates a surface similar to a Gaussian one. I approximated my data with cftool. I obtained a surface in the space. Now I would like to know the volume behind the interpolant surface because it can approximate the spacial surface I am looking for.

Have you got any ideas? 'Cause I can only find in the guide cfit/integrate help but anything concerning sfit/integrate.

Many thanks…

Best Answer

If you have a matrix of data, I would use trapz to do the integration. You will have to use it two times — once in each dimension of the matrix — to get a scalar value for the volume.

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To integrate a vector (or matrix in one of its dimensions), use the trapz function. The quad, integral, and related functions integrate functions.

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I think you've answered your own question. Why can't you create an anonymous function for g() just as you did in your post

    g = @(y) integral(@(x)f(x,y),lim1,lim2)

and carry that around for reuse?

Best Answer

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