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Sep 13 at 16:45 comment added Maxim Prasolov We can speak about an algorithm only if the given data is of combinatorial nature. However we can always approximate the curve by a piecewise linear curve (by choosing the set of breaking points to be a sufficiently dense subset of the given curve) and then smooth out the corners by sufficiently small arcs.
Sep 13 at 14:06 comment added Iosif Pinelis (i) What is a "line section"? (ii) What exactly do you mean by "smooth"? How can a curve be smooth and composed of only "line sections" and arcs (so as to contain at least one "line section" and at least one arc?
Sep 13 at 2:47 history asked lchen CC BY-SA 4.0