The Beltrami Flow over Triangulated Manifolds
Abstract
In several image processing applications one has to deal with noisy images defined on surfaces, like electric impulsions or diffusion tensors on the cortex. We propose a new regularization technique for data defined on triangulated surfaces: the Beltrami flow over intrinsic manifolds. This technique overcomes the over – smoothing of the L _2 and the stair-casing effects of the L _1 flow for strongly noised images. To do so, we locally estimate the differential operators and then perform temporal finite differences. We present the implementation for scalar images defined in 2 dimensional manifolds and experimental results.
Cite
Text
Perez et al. "The Beltrami Flow over Triangulated Manifolds." European Conference on Computer Vision, 2004. doi:10.1007/978-3-540-27816-0_12Markdown
[Perez et al. "The Beltrami Flow over Triangulated Manifolds." European Conference on Computer Vision, 2004.](https://mlanthology.org/eccv/2004/perez2004eccv-beltrami/) doi:10.1007/978-3-540-27816-0_12BibTeX
@inproceedings{perez2004eccv-beltrami,
title = {{The Beltrami Flow over Triangulated Manifolds}},
author = {Perez, Lucero Lopez and Deriche, Rachid and Sochen, Nir A.},
booktitle = {European Conference on Computer Vision},
year = {2004},
pages = {135-144},
doi = {10.1007/978-3-540-27816-0_12},
url = {https://mlanthology.org/eccv/2004/perez2004eccv-beltrami/}
}