Reviews of papers in group meeting

Dec 4, 2015

In the summer of 2015, our imaging group has a regular weekly meeting and presentation on many papers. Here is some slides I have presented. Many of them are unpolished and the code is only for simple demonstration purpose, so read and use them on your own risk.

  • ADMM

Review of

‘Distributed Optimization and Statistical Learning via the Alternating Direction Method of Multipliers’ by Stephen Boyd et al.

Here is the slides.

There are much nice related code in Boyd’s website.

  • FISTA

Review of

‘A Fast Iterative Shrinkage-Thresholding Algorithm for Linear Inverse Problems’ by Beck and Teboulle 2008.

Here is the slides.

  • Total Fractional-Order Variation Model for Image Processing

Review of

‘A Total Fractional-Order Variation Model for Image Restoration with Non-homogeneous Boundary Conditions and its Numerical Solution’ by Jianping Zhang, Ke Chen (2015).

Here is the slides. Some code written by myself： download code.

  • Polynomial Annihilation for Non-uniform Fourier data

Review of

‘Image Reconstruction from Undersampled Fourier Data Using the Polynomial Annihilation Transform’ by R.Archibald, A.Gelb and R.B.Platte (2015).

Here is the slides.

Some code written by myself： download code.

  • Frame Theory

Review of

materials in 2015 IMA summer school: modern harmonic analysis and its applications.

Here is the slides.

  • Mean Curvature Regularization

Review of

‘Augmented Lagrangian Method for A Mean Curvature Based Image Denoising Model’ by Wei Zhu, Xue-Cheng Tai and Tony Chan (2013).

Here is the slides.