On Projective Invariant Smoothing and Evolutions of PlanarCurves and Polygons

Authors:
Alfred M. Bruckstein;Doron Shaked
Affiliations:
Department of Computer Science Technion-I.I.T., Haifa 32000, Israel;Hewlett-Packard Israel Science Center, Technion City, Haifa 32000, Israel
Venue:
Journal of Mathematical Imaging and Vision
Year:
1997

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Abstract

Several recently introduced and studied planar curve evolutionequations turn out to be iterative smoothing procedures that areinvariant under the actions of the Euclidean and affine groups ofcontinuous transformations. This paper discusses possible ways toextend these results to the projective group of transformations.Invariant polygon evolutions are also investigated.