Cross-diffusion systems for image processing. I: The linear case

DOI10.1007/s10851-017-0720-xzbMath1387.94012arXiv1605.02923OpenAlexW2952349765WikidataQ60368600 ScholiaQ60368600MaRDI QIDQ1702636

A. Durán, Eduardo Cuesta, Adérito Araújo, Sílvia Barbeiro

Publication date: 28 February 2018

Published in: Journal of Mathematical Imaging and Vision (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.02923

zbMATH Keywords

cross-diffusionimage denoisingcomplex diffusion

Mathematics Subject Classification ID

Computing methodologies for image processing (68U10) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08)

Related Items (3)

Cross-diffusion systems for image processing. II: The nonlinear case ⋮ Fast stable finite difference schemes for nonlinear cross-diffusion ⋮ Learning stable nonlinear cross-diffusion models for image restoration

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Linear scale-space has first been proposed in Japan
• The structure of images
• Functional analysis, Sobolev spaces and partial differential equations
• Semigroups of linear operators and applications to partial differential equations
• Axioms and fundamental equations of image processing
• Cross-diffusion systems for image processing. II: The nonlinear case
• Semi-discretization in time and numerical convergence of solutions of a nonlinear cross-diffusion population model
• Generalized Gaussian scale-space axiomatics comprising linear scale-space, affine scale-space and spatio-temporal scale-space
• On the axioms of scale space theory
• Mathematical problems in image processing. Partial differential equations and the calculus of variations. Foreword by Olivier Faugeras

This page was built for publication: Cross-diffusion systems for image processing. I: The linear case