Noisy image segmentation based on nonlinear diffusion equation model

DOI10.1016/j.apm.2011.07.073zbMath1243.94006OpenAlexW2010886356MaRDI QIDQ437877

Yan Li, Jin-Lin Cai, Bo Chen

Publication date: 20 July 2012

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2011.07.073

zbMATH Keywords

level setnonlinear diffusion equationsactive contour modelcurve evolutionlocally one-dimensionalvariation calculus technique

Mathematics Subject Classification ID

Computing methodologies for image processing (68U10) Nonlinear parabolic equations (35K55) Initial-boundary value problems for second-order parabolic equations (35K20) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) PDEs in connection with information and communication (35Q94)

Related Items (8)

Deformable models for image segmentation: a critical review of achievements and future challenges ⋮ A Denoising PDE Model based on Isotropic Diffusion and Total Variation Models ⋮ A novel adaptive partial differential equation model for image segmentation ⋮ Speckle noise removal by energy models with new regularization setting ⋮ A multiplicative noise removal approach based on partial differential equation model ⋮ A new texture synthesis algorithm based on wavelet packet tree ⋮ Indirect diffusion based level set evolution for image segmentation ⋮ An efficient operator-splitting radial basis function-generated finite difference (RBF-FD) scheme for image noise removal based on nonlinear total variation models

Cites Work

• Unnamed Item
• Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
• A geometric model for active contours in image processing
• Geodesic active contours
• Geodesic active regions and level set methods for supervised texture segmentation
• A fast level set method for propagating interfaces
• Computing minimal surfaces via level set curvature flow
• Optimal approximations by piecewise smooth functions and associated variational problems
• A Geometric Approach to Joint 2D Region-Based Segmentation and 3D Pose Estimation Using a 3D Shape Prior
• Active contours without edges
• Geometric Level Set Methods in Imaging, Vision, and Graphics
• Distance Regularized Level Set Evolution and Its Application to Image Segmentation
• Computer Vision - ECCV 2004

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