It is well known that the double ellipsoidal has basically the parameters a, b, cf and cr.

Is it right to define the a and b parameters of the ellipsoid as half width and the penetration of the weld bead respectively?

My main question is how can I define the parameters cf (front) and cr (rear) of the ellipsoid since I am not able to measure the dimentions of the weld pool during practical experimentations. Is there any way to do so? Should I just input some random values until obtain results similar to practical experimentations?

Thanks in advance!

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