Stochastic processes in vision: From langevin to beltrami

N. A. Sochen

Stochastic processes in vision: From langevin to beltrami

N. A. Sochen^*

^*Corresponding author for this work

School of Mathematical Sciences

Research output: Contribution to conference › Paper › peer-review

17 Scopus citations

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.

Original language	English
Pages	288-293
Number of pages	6
State	Published - 2001
Event	8th International Conference on Computer Vision - Vancouver, BC, United States Duration: 9 Jul 2001 → 12 Jul 2001

Conference

Conference	8th International Conference on Computer Vision
Country/Territory	United States
City	Vancouver, BC
Period	9/07/01 → 12/07/01

Cite this

@conference{38636a73cf164ce3815cdb1d50ae6752,

title = "Stochastic processes in vision: From langevin to beltrami",

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.",

author = "Sochen, \{N. A.\}",

year = "2001",

language = "אנגלית",

pages = "288--293",

note = "8th International Conference on Computer Vision ; Conference date: 09-07-2001 Through 12-07-2001",

}

TY - CONF

T1 - Stochastic processes in vision

T2 - 8th International Conference on Computer Vision

AU - Sochen, N. A.

PY - 2001

Y1 - 2001

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/0034849130

M3 - ???researchoutput.researchoutputtypes.contributiontoconference.paper???

AN - SCOPUS:0034849130

SP - 288

EP - 293

Y2 - 9 July 2001 through 12 July 2001

ER -

Stochastic processes in vision: From langevin to beltrami

Abstract

Conference

Other files and links

Fingerprint

Cite this