A Linear Scale-Space Theory for Continuous Nonlocal Evolutions

DOI10.1007/978-3-319-18461-6_9zbMath1444.94008OpenAlexW876773309MaRDI QIDQ3300292

Sarah Schäffer, Giovanno Marcelo Cárdenas, Joachim Weickert

Publication date: 28 July 2020

Published in: Lecture Notes in Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-18461-6_9

zbMATH Keywords

diffusionintegro-differential equationswell-posednessbilateral filteringscale-spacenonlocal processes

Mathematics Subject Classification ID

Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Integro-partial differential equations (35R09)

Uses Software

• SIFT

Cites Work

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• Linear scale-space has first been proposed in Japan
• The structure of images
• Axioms and fundamental equations of image processing
• Generalized Gaussian scale-space axiomatics comprising linear scale-space, affine scale-space and spatio-temporal scale-space
• Relations between regularization and diffusion filtering
• On the axioms of scale space theory
• Nonlocal Operators with Applications to Image Processing
• Image Selective Smoothing and Edge Detection by Nonlinear Diffusion
• Multiscale Analysis of Similarities between Images on Riemannian Manifolds
• A Review of Image Denoising Algorithms, with a New One

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