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How do I create a class with functional syntax, like griddedInterpolant?

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The documentation for the griddedInterpolant has an example like the following:
[X1, X2] = ndgrid(1:10,1:10);
V = X1.^2 + X2.^2;
F = griddedInterpolant(X1,X2,V, 'cubic');
[X1q, X2q] = ndgrid(1:0.5:10,1:0.5:10);
Vq = F(X1q,X2q);
In the last line the object is called like it is a function. Can I create a class with this syntax, and if so, how?

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