fg-ORKA: fast and gridless reconstruction of moving and deforming objects in multidimensional data

DOI10.1088/1361-6420/ad7495MaRDI QIDQ6641743

Wen-Ze Wu, Florian Boßmann, Jianwei Ma

Publication date: 21 November 2024

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

zbMATH Keywords

multiresolutionmultiple measurementsobject reconstructiondata resamplingcolumn shift operator

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Numerical methods for low-rank matrix approximation; matrix compression (65F55)

Cites Work

• A mathematical introduction to compressive sensing
• Shearlets. Multiscale analysis for multivariate data.
• The benefit of group sparsity
• Algorithms for simultaneous sparse approximation. I: Greedy pursuit
• Algorithms for simultaneous sparse approximation. II: Convex relaxation
• Enhanced image approximation using shifted rank-1 reconstruction
• Image Separation Using Wavelets and Shearlets
• Block-Sparse Signals: Uncertainty Relations and Efficient Recovery
• Literature survey on low rank approximation of matrices
• ORKA: Object reconstruction using a K-approximation graph
• Group Invariant Dictionary Learning
• Structural sparsity in multiple measurements

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