Is there a robust and fast way of finding the nearest point on a paraboloid of form: (x,y, f(x) + f(y))
where f() could be any range of convex functions, like x^2 or x^4?
So like given a point (p0,p1,p2) minimize:
(x - p0)^2 + (y-p1)^2 + ((f(x) + f(y)) - p2)^2
With respect to x and y.
12 months ago
