On the projective evolution of 2d curves

In this paper, we investigate the evolution of curves of the projective plane according to a family of projective invariant intrinsic equations. This is motivated by previous work for the Euclidean [10, 11, 13] and the ane cases [20, 21, 3, 2] as well as by applications in the perception of two-dimensional shapes. We establish the evolution laws for the projective arclength and curvature. Among this family of equations, we dene a \projective heat equation " [7] and establish the link with the projective evolution of curves in R 2 Resume Dans le present article, nous etudions les familles de courbes du plan pro-jectif evoluant suivant des equations intrinseques projectivement invari-antes. Cette demarche est motivee par les travaux precedents concernan