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NURBS surface cutting

I have a NURBS surface that has 4 curved edges. (I have 4 bezier points for curves)

I would like to cut the NURBS surface with a slice plane that is on the axis (not as advanced as 3DSMAX!), And calculate the curve where the cut plane and the NURBS plane intersect.

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Well .. R in "NURBS" for rational. This is a division of two polynomials. Your plane aligned along the axis gives you a very simple set of points, (x, y, z) such that z is the given z. Decide. Not very helpful. Is this more like what you had in mind?

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