Convex multiclass segmentation with shearlet regularization

DOI10.1080/00207160.2012.688960zbMath1278.65208arXiv1112.1805OpenAlexW2139816106MaRDI QIDQ2868156

Sören Häuser, Gabriele Drauschke

Publication date: 23 December 2013

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

Full work available at URL: https://arxiv.org/abs/1112.1805

zbMATH Keywords

convex relaxationshearletsmultilabel segmentationfast finite shearlet transform

Mathematics Subject Classification ID

Computing methodologies for image processing (68U10) Numerical methods for wavelets (65T60) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Numerical methods for discrete and fast Fourier transforms (65T50) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10) Duality theory (optimization) (49N15)

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Cites Work

• Unnamed Item
• Distributed Optimization and Statistical Learning via the Alternating Direction Method of Multipliers
• Nonlinear total variation based noise removal algorithms
• Shearlet coorbit spaces and associated Banach frames
• Sparse directional image representations using the discrete shearlet transform
• On the Douglas-Rachford splitting method and the proximal point algorithm for maximal monotone operators
• A characterization of the higher dimensional groups associated with continuous wavelets.
• A first-order primal-dual algorithm for convex problems with applications to imaging
• A spatial regularization approach for vector quantization
• A regularized \(k\)-means and multiphase scale segmentation
• A General Framework for a Class of First Order Primal-Dual Algorithms for Convex Optimization in Imaging Science
• Image Separation Using Wavelets and Shearlets
• Continuous Multiclass Labeling Approaches and Algorithms
• Nonlocal Operators with Applications to Image Processing
• The Split Bregman Method for L1-Regularized Problems
• Characterization and Analysis of Edges Using the Continuous Shearlet Transform
• Nonlocal Linear Image Regularization and Supervised Segmentation
• THE UNCERTAINTY PRINCIPLE ASSOCIATED WITH THE CONTINUOUS SHEARLET TRANSFORM
• Graph Cut Optimization for the Piecewise Constant Level Set Method Applied to Multiphase Image Segmentation
• Ridgelets: a key to higher-dimensional intermittency?
• Image Denoising Methods. A New Nonlocal Principle
• Unsupervised Multiphase Segmentation: A Phase Balancing Model
• Multiphase Image Segmentation via Modica–Mortola Phase Transition
• Fast Discrete Curvelet Transforms
• An introduction to frames and Riesz bases

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