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Given two irreducible, algebraic space curves C1 and C2, where C2 is contained in some plane Π, we provide algorithms to check whether or not there exist perspective or parallel projections mapping C1 onto C2, i.e. to recognize C2 as the projection of C1. In the affirmative case, the algorithms provide the eye point(s) of the perspective transformation(s), or the direction(s) of the parallel projection(s)...
In this paper we present algorithms for computing the topology of planar and space rational curves defined by a parametrization. The algorithms given here work directly with the parametrization of the curve, and do not require to compute or use the implicit equation of the curve (in the case of planar curves) or of any projection (in the case of space curves). Moreover, these algorithms have been...
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