A tensor-based dictionary learning approach to tomographic image reconstruction

@article{Soltani2015ATD,
  title={A tensor-based dictionary learning approach to tomographic image reconstruction},
  author={S. Soltani and M. Kilmer and P. Hansen},
  journal={BIT Numerical Mathematics},
  year={2015},
  volume={56},
  pages={1425-1454}
}
We consider tomographic reconstruction using priors in the form of a dictionary learned from training images. The reconstruction has two stages: first we construct a tensor dictionary prior from our training data, and then we pose the reconstruction problem in terms of recovering the expansion coefficients in that dictionary. Our approach differs from past approaches in that (a) we use a third-order tensor representation for our images and (b) we recast the reconstruction problem using the… Expand
Tomographic image reconstruction using training images
Non-negative Tensor Patch Dictionary Approaches for Image Compression and Deblurring Applications
Joint CT Reconstruction and Segmentation With Discriminative Dictionary Learning
A Low-Rank Tensor Dictionary Learning Method for Hyperspectral Image Denoising
Smoothed L0-Constraint Dictionary Learning for Low-Dose X-Ray CT Reconstruction
Minimax lower bounds for Kronecker-structured dictionary learning
High dimensional data reconstruction based on L2,1 norm
Sample complexity bounds for dictionary learning of tensor data
  • Z. Shakeri, W. Bajwa, A. Sarwate
  • Mathematics, Computer Science
  • 2017 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)
  • 2017
...
1
2
3
4
...

References

SHOWING 1-10 OF 55 REFERENCES
Tomographic Image Reconstruction using Dictionary Priors
Use of learned dictionaries in tomographic reconstruction
K-CPD: Learning of overcomplete dictionaries for tensor sparse coding
Tensor dictionary learning with sparse TUCKER decomposition
  • Syed Zubair, Wenwu Wang
  • Mathematics, Computer Science
  • 2013 18th International Conference on Digital Signal Processing (DSP)
  • 2013
Tensor-based algorithms for learning multidimensional separable dictionaries
Augmented Lagrangian-Based Sparse Representation Method with Dictionary Updating for Image Deblurring
Image Denoising Via Sparse and Redundant Representations Over Learned Dictionaries
Learning Multiscale Sparse Representations for Image and Video Restoration
...
1
2
3
4
5
...