Variational Beltrami flows over manifolds

Nir Sochen*, Rachid Deriche, Lucero Lopez-Perez

*Corresponding author for this work

Research output: Contribution to conferencePaperpeer-review

6 Scopus citations


We study, in this paper, the problem of denoising images/data which are defined aver 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.

Original languageEnglish
Number of pages4
StatePublished - 2003
EventProceedings: 2003 International Conference on Image Processing, ICIP-2003 - Barcelona, Spain
Duration: 14 Sep 200317 Sep 2003


ConferenceProceedings: 2003 International Conference on Image Processing, ICIP-2003


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