Stochastic Processes in Vision: From Langevin to Beltrami

Sochen, Nir A.

doi:10.1109/ICCV.2001.10016

Stochastic Processes in Vision: From Langevin to Beltrami

Nir A. Sochen

ICCV 2001 pp. 288-293

doi:10.1109/ICCV.2001.10016 /iccv/2001/sochen2001iccv-stochastic/

Abstract

Diffusion processes which are widely used in low level vision are presented as a result of an underlying stochastic process. The short-time non-linear diffusion is interpreted as a Fokker-Planck equation which governs the evolution in time of a probability distribution for a Brownian motion on a Riemannian surface. The non linearity of the diffusion has a direct relation to the geometry of the surface. A short time kernel to the diffusion as well as generalizations are found.

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Cite

Text

Sochen. "Stochastic Processes in Vision: From Langevin to Beltrami." IEEE/CVF International Conference on Computer Vision, 2001. doi:10.1109/ICCV.2001.10016

Markdown

[Sochen. "Stochastic Processes in Vision: From Langevin to Beltrami." IEEE/CVF International Conference on Computer Vision, 2001.](https://mlanthology.org/iccv/2001/sochen2001iccv-stochastic/) doi:10.1109/ICCV.2001.10016

BibTeX

@inproceedings{sochen2001iccv-stochastic,
  title     = {{Stochastic Processes in Vision: From Langevin to Beltrami}},
  author    = {Sochen, Nir A.},
  booktitle = {IEEE/CVF International Conference on Computer Vision},
  year      = {2001},
  pages     = {288-293},
  doi       = {10.1109/ICCV.2001.10016},
  url       = {https://mlanthology.org/iccv/2001/sochen2001iccv-stochastic/}
}