Lie group of transformations to study anisotropic diffusion of scalar images

DOI10.1134/S1995080212030080zbMath1260.22013OpenAlexW1987233141WikidataQ115247396 ScholiaQ115247396MaRDI QIDQ1933377

J. Jena

Publication date: 23 January 2013

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080212030080

zbMATH Keywords

self-similar solutionsimage processingpartial differential equationsLie group of transformationsedge stopping function

Mathematics Subject Classification ID

Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Lie algebras of Lie groups (22E60) General properties and structure of other Lie groups (22E20) Local Lie groups (22E05)

Related Items (1)

Group classification for isothermal drift flux model of two phase flows

Cites Work

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• The structure of images
• Self-similar shocks in a dusty gas
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• Similarity methods for differential equations
• Similarity solutions for converging shocks in a relaxing gas
• Lie transformation group solutions of nonlinear equations describing viscoelastic materials
• Similarity Solutions for Reactive Shock Hydrodynamics
• Image Selective Smoothing and Edge Detection by Nonlinear Diffusion
• Group theoretic method for analyzing interaction of a weak discontinuity wave with a bore in shallow water waves
• Symmetries and differential equations

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