Am. Bruckstein et D. Shaked, ON PROJECTIVE INVARIANT SMOOTHING AND EVOLUTIONS OF PLANAR CURVES ANDPOLYGONS, Journal of mathematical imaging and vision, 7(3), 1997, pp. 225-240
Several recently introduced and studied planar curve evolution equatio
ns turn out to be iterative smoothing procedures that are invariant un
der the actions of the Euclidean and affine groups of continuous trans
formations. This paper discusses possible ways to extend these results
to the projective group of transformations. Invariant polygon evoluti
ons are also investigated.