I have a parametric surface and a curve in the parametric domain of that surface (let's say u and v), and findally a point somewhere on that surface at parameters u and v. How do I determine if that point is within the curve or not?
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It depends on what the curve is, as for example if it's circle than when you substitute (u,v) and if equation is >0 it lie outside the circle, if it's <0 then inside and if =0 then on it. But as long as I remember only in case of hyperbola it's opposite and all other cases follow the former thing. – Iti Shree Apr 25 '17 at 15:05
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For quadrics you can use the polar hyperplane of the point. – amd Apr 25 '17 at 18:33