FRIST—flipping and rotation invariant sparsifying transform learning and applications

DOI10.1088/1361-6420/aa6c6ezbMath1380.94039arXiv1511.06359OpenAlexW2963294657MaRDI QIDQ5348009

Yoram Bresler, Bihan Wen, Saiprasad Ravishankar

Publication date: 11 August 2017

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.06359

zbMATH Keywords

magnetic resonance imagingmachine learningimage denoisingcompressed sensingdictionary learninginpaintingsparsifying transform learning

Mathematics Subject Classification ID

Applications of mathematical programming (90C90) Numerical optimization and variational techniques (65K10) Learning and adaptive systems in artificial intelligence (68T05) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08)

Related Items

Preface for Inverse Problems special issue on learning and inverse problems, An image inpainting algorithm using exemplar matching and low-rank sparse prior, Data Driven Tight Frame for Compressed Sensing MRI Reconstruction via Off-the-Grid Regularization

Uses Software

• PCA-SIFT
• PDCO
• SIPI Image Database
• DLMRI-Lab

Cites Work

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• Structured overcomplete sparsifying transform learning with convergence guarantees and applications
• Sparse and Redundant Modeling of Image Content Using an Image-Signature-Dictionary
• Efficient Blind Compressed Sensing Using Sparsifying Transforms with Convergence Guarantees and Application to Magnetic Resonance Imaging
• From Sparse Solutions of Systems of Equations to Sparse Modeling of Signals and Images
• Atomic Decomposition by Basis Pursuit
• Dictionary Learning for Sparse Approximations With the Majorization Method
• Recursive Least Squares Dictionary Learning Algorithm
• Dictionary Optimization for Block-Sparse Representations
• Learning Sparsifying Transforms
• Sparsifying Transform Learning With Efficient Optimal Updates and Convergence Guarantees
• $rm K$-SVD: An Algorithm for Designing Overcomplete Dictionaries for Sparse Representation
• Matching pursuits with time-frequency dictionaries
• Blind Compressed Sensing
• Analysis versus synthesis in signal priors
• Solving Inverse Problems With Piecewise Linear Estimators: From Gaussian Mixture Models to Structured Sparsity
• Image Processing Using Smooth Ordering of its Patches
• Learning Doubly Sparse Transforms for Images
• Bandelet Image Approximation and Compression
• Adaptive greedy approximations