We wish to endow the manifold M of smooth curves in lRn with a Riemannian metric that allows us to treat continuous morphs (homotopies) between two curves c0 and c1 as trajectorie...
Recently, the Sobolev metric was introduced to define gradient flows of various geometric active contour energies. It was shown that the Sobolev metric out-performs the tradition...
Ganesh Sundaramoorthi, Anthony J. Yezzi, Andrea Me...