Variational Beltrami flows over manifolds

We study, in this paper, the problem of denoising images/data which are defined over non-flat surfaces. This problem arises often in many medical imaging tasks. The Beltrami flow which was defined in an explicit-intrinsic manner is generalized here to non-flat surfaces and is defined in an implicit way. We formulate the flow in a variational way which is generalized to a scalar field defined over an n-dimensional manifold. The implementation scheme of this flow is presented and various experimental results obtained on a set of real images illustrate the performances of the approach as well as the differences between various flows of interests.

• Type: Conference
• Year: 2003
• Where: ICIP
• Authors: Nir A. Sochen, Rachid Deriche, Lucero Lopez Perez
• Keywords: Beltrami Flow, ICIP 2003, Image Processing, Medical Imaging Tasks, N-dimensional Manifold, Non-flat Surfaces, Variational Way