Curvature-driven PDE methods for matrix-valued images

DOI10.1007/s11263-006-6854-8zbMath1477.94010OpenAlexW2112473379MaRDI QIDQ2508371

Joachim Weickert, Christian Feddern, Bernhard Burgeth, Martin Welk

Publication date: 12 October 2006

Published in: International Journal of Computer Vision (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11263-006-6854-8

zbMATH Keywords

denoisingsegmentationedge detectionactive contoursDT-MRIstructure tensormean curvature motionself-snakes

Mathematics Subject Classification ID

Biomedical imaging and signal processing (92C55) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) PDEs in connection with information and communication (35Q94)

Related Items (6)

A new PDE-based resolution enhancement technique for the analysis of low SNR particle displacement images ⋮ Fast \(\operatorname{GL}(n)\)-invariant framework for tensors regularization ⋮ A Directional Rouy-Tourin Scheme for Adaptive Matrix-Valued Morphology ⋮ The Riemannian geometry of the space of positive-definite matrices and its application to the regularization of positive-definite matrix-valued data ⋮ Adaptive continuous-scale morphology for matrix fields ⋮ A generic approach to diffusion filtering of matrix-fields

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Flow by mean curvature of convex surfaces into spheres
• The heat equation shrinking convex plane curves
• Constraints on deformable models: Recovering 3D shape and nonrigid motion
• Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
• The heat equation shrinks embedded plane curves to round points
• Iterations of a non-linear transformation for enhancement of digital images
• A geometric model for active contours in image processing
• Geodesic active contours
• Orthonormal vector sets regularization with PDE's and applications
• Level set methods and dynamic implicit surfaces
• A uniqueness result in the theory of stereo vision: Coupling shape from shading and binocular information allows unambiguous depth reconstruction
• Vector median filters, inf-sup operations, and coupled PDE's: Theoretical connections
• A Regularization Scheme for Diffusion Tensor Magnetic Resonance Images
• A note on the gradient of a multi-image
• Edge detection in multispectral images
• A Level Set Method for Anisotropic Geometric Diffusion in 3D Image Processing
• Feature-Oriented Image Enhancement Using Shock Filters
• Image Selective Smoothing and Edge Detection by Nonlinear Diffusion. II
• Geometric Level Set Methods in Imaging, Vision, and Graphics
• Computer Vision - ECCV 2004

This page was built for publication: Curvature-driven PDE methods for matrix-valued images