On geometric invariants of plane curves

. In this paper, we study some geometric invariants of closed plane curves, that can help us classify these curves. We focus on two invariants: the number of in(cid:29)ection points and the number of vertex points. We intend to (cid:28)nd models of curves with a number of prede(cid:28)ned double points and with the smallest possible number of in(cid:29)ection points and vertex points. Palavras-chave . Geometric modeling, plane curves