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https://github.com/wenbihan/frist_ivp2017


https://github.com/wenbihan/frist_ivp2017

image-denoising mri-reconstruction rotation-invariant sparse-coding transform-learning unsupervised-learning

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README

          

# FRIST learning and applications
=============

FRIST learning accompanies the following publications:

1. "FRIST — flipping and rotation invariant sparsifying transform learning and applications", International Inverse Problems (IVP), 2017. [IVP 2017](http://iopscience.iop.org/article/10.1088/1361-6420/aa6c6e/meta), [PDF available](http://web.engr.illinois.edu/~bwen3/asset/IVP_FRIST_2017.pdf)

2. "Learning Flipping and Rotational Invariant Sparsifying Transform", Proc. IEEE International Conference on Image Processing (ICIP), 2016. [ICIP 2016](http://ieeexplore.ieee.org/abstract/document/7533082/), [PDF available](http://web.engr.illinois.edu/~bwen3/asset/icip2016-frist.pdf), [Poster](http://transformlearning.csl.illinois.edu/assets/Bihan/ConferenceSlidesandPosters/BihanSaiICIP2016frist_poster.pdf)

Description:
-----

FRIST is a formulation and methodology for learning a Flipping and Rotation Invariant Sparsifying Transform, and simultaneously clusters the data via their directional orientation.

The FRIST package includes (1) a collection of the FRIST Matlab functions, and (2) example demo data used in the FRIST paper including image denoising, and MRI reconstruction.

You can download our other software packages at: [My Homepage](http://web.engr.illinois.edu/~bwen3/) and [Transform Learning Site](http://transformlearning.csl.illinois.edu/).

Paper

In case of use, please cite our publications:

1. B. Wen, S. Ravishankar, and Y. Bresler, “FRIST Flipping and Rotational Invariant Sparsifying Transform Learning and Applications,” Inverse Problems (IVP), vol. 33, no. 7, 2017.

```
@article{wen2017frist,
title={{FRIST} — flipping and rotation invariant sparsifying transform learning and applications},
author={Wen, Bihan and Ravishankar, Saiprasad and Bresler, Yoram},
journal={Inverse Problems},
volume={33},
number={7},
pages={074007},
year={2017},
publisher={IOP Publishing}
}
```

2. B. Wen, S. Ravishankar, and Y. Bresler. “Learning flipping and rotation invariant sparsifying transforms," IEEE International Conference on Image Processing (ICIP), pp. 3857-3861, 2016.

```
@inproceedings{wen2016learning,
title={Learning flipping and rotation invariant sparsifying transforms},
author={Wen, Bihan and Ravishankar, Saiprasad and Bresler, Yoram},
booktitle={Image Processing (ICIP), 2016 IEEE International Conference on},
pages={3857--3861},
year={2016},
organization={IEEE}
}
```

Use
---
All codes are subject to copyright and may only be used for non-commercial research. In case of use, please cite our publication.

Contact Bihan Wen (bihan.wen.uiuc@gmail.com) for any questions.

Acknowledgement
---
The development of this software was supported in part by the National Science Foundation (NSF) under grants CCF 06-35234 and CCF 10-18660.