Diffeomorphic Surface Flows: A Novel Method of Surface Evolution

We describe a new class of surface flows, diffeomorphic surface flows, induced by restricting diffeomorphic flows of the ambient Euclidean space to a surface. Different from classical surface PDE flows such as mean curvature flow, diffeomorphic surface flows are solutions of integrodifferential equations in a group of diffeomorphisms. They have the potential advantage of being both topology-invariant and singularity free, which can be useful in computational anatomy and computer graphics. We first derive the Euler

• Type: Journal
• Year: 2008
• Where: SIAMAM
• Authors: Sirong Zhang, Laurent Younes, John Zweck, J. Tilak Ratnanather
• Keywords: Classical Surface, Diffeomorphic Surface, Mean Curvature Flow, SIAMAM 2008