PET-MRI Joint Reconstruction by Joint Sparsity Based Tight Frame Regularization
DOI10.1137/17M1131453zbMath1401.65064arXiv1705.08654MaRDI QIDQ4689757
Xiaoqun Zhang, Jae Kyu Choi, Chenglong Bao
Publication date: 17 October 2018
Published in: SIAM Journal on Imaging Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1705.08654
magnetic resonance imagingpositron emission tomographyjoint sparsity(tight) wavelet framesjoint reconstructiondata driven tight framesproximal alternating schemes
Applications of mathematical programming (90C90) Computing methodologies for image processing (68U10) Biomedical imaging and signal processing (92C55) Numerical methods for variational inequalities and related problems (65K15)
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Cites Work
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- Proximal alternating linearized minimization for nonconvex and nonsmooth problems
- Simultaneous cartoon and texture inpainting
- On gradients of functions definable in o-minimal structures
- Affine systems in \(L_ 2(\mathbb{R}^d)\): The analysis of the analysis operator
- A Bayesian joint mixture framework for the integration of anatomical information in functional image reconstruction
- Bi-framelet systems with few vanishing moments characterize Besov spaces
- Images as embedded maps and minimal surfaces: Movies, color, texture, and volumetric medical images
- X-ray CT image reconstruction via wavelet frame based regularization and Radon domain inpainting
- Data-driven tight frame construction and image denoising
- Fast dual minimization of the vectorial total variation norm and applications to color image processing
- Convergence analysis for iterative data-driven tight frame construction scheme
- Linear and nonlinear programming
- Convergence analysis of tight framelet approach for missing data recovery
- A framelet-based image inpainting algorithm
- Data-driven tight frame for multi-channel images and its application to joint color-depth image reconstruction
- A Block Coordinate Descent Method for Regularized Multiconvex Optimization with Applications to Nonnegative Tensor Factorization and Completion
- The Natural Vectorial Total Variation Which Arises from Geometric Measure Theory
- Total variation regularization in measurement and image space for PET reconstruction
- Image Restoration: A General Wavelet Frame Based Model and Its Asymptotic Analysis
- Adaptive Multiresolution Analysis Structures and Shearlet Systems
- Preconditioned alternating projection algorithms for maximum a posteriori ECT reconstruction
- Proximal Alternating Minimization and Projection Methods for Nonconvex Problems: An Approach Based on the Kurdyka-Łojasiewicz Inequality
- CT Image Reconstruction by Spatial-Radon Domain Data-Driven Tight Frame Regularization
- Hierarchical regularization for edge-preserving reconstruction of PET images
- Split Bregman Methods and Frame Based Image Restoration
- Recovery Algorithms for Vector-Valued Data with Joint Sparsity Constraints
- The Discrete Cosine Transform
- Wavelet Algorithms for High-Resolution Image Reconstruction
- A general framework for low level vision
- $rm K$-SVD: An Algorithm for Designing Overcomplete Dictionaries for Sparse Representation
- Vector-Valued Image Processing by Parallel Level Sets
- A novel technique to incorporate structural prior information into multi-modal tomographic reconstruction
- Joint reconstruction of PET-MRI by exploiting structural similarity
- Limited Tomography Reconstruction Via Tight Frame and Simultaneous Sinogram Extrapolation
- Image restoration: Total variation, wavelet frames, and beyond
- Restoration of Poissonian Images Using Alternating Direction Optimization
- Adaptive tight frame based medical image reconstruction: a proof-of-concept study for computed tomography
- Bounded perturbation resilience of projected scaled gradient methods
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