ABSTRACT
The problem we examine in this paper can be stated as follows: given n points which lie on a curve, how to reconstruct the curve ?, i.e., how to find an order on the points in accordance with the one induced by a natural parametrization of the curve, like arc length parametrization by example. Theoretical results related to this problem are always qualitative, and so not really useful in practice. On the other hand, the method we present allows to compute noisy data sets, self-intersections or cusps, and a great number of points.
