Overview

Author: Thierry BOUWMANS, Associate Professor, Lab. MIA, Univ.  Rochelle, France.

Further Improvements

If you would like to list your publication related to this topic on this website, please send me your publication in .pdf and I will add the reference.

Fair Use Policy

As this website gives many information that come from my research, please cite my following survey papers:

T. Bouwmans, A. Sobral, S. Javed, S. Jung, E. Zahzah, "Decomposition into Low-rank plus Additive Matrices for Background/Foreground Separation: A Review for a Comparative Evaluation with a Large-Scale Dataset", Computer Science Review, Volume 23, pages 1-71, February 2017. [pdf]

A. Sobral, C. Baker, T. Bouwmans, E. Zahzah, “Incremental and Multi-feature Tensor Subspace Learning applied for Background Modeling and Subtraction”, International Conference on Image Analysis and Recognition, ICIAR 2014, October 2014.

Note: My publications are available on Academia, Research Gate, Researchr, ORCID and Publication List.

Objective

The aim of this web site is to provide resources such as references (287 papers), codes and links to demonstration websites for the research on decomposition in low-rank plus additive tensors by grouping all related researches and particularly recent advances in this field.

1. Different Problem Formulations (191 papers)

Tensor RPCA (144 papers), Robust Non negative Tensor Factorization (2 papers), Robust Tensor Completion (19 papers)

Robust Tensor Recovery  (10 papers), Robust Low Rank Minimization (10 papers), Robust Tensor Subspace Tracking (6 papers)

2. Minimization Problem

3. Solvers

4. Norms

5. Applications (95 papers)

5.1 Applications in Signal Processing (10 papers)

5.2 Applications in Computer Vision (78 papers)

    5.2.1 Image Processing (17 papers)

Image Denoising and Restoration (3 papers), Hyperspectral Image Processing (9 papers), Hyperspectral Image Classification (1 paper)

    5.2.2 Video Processing (60 papers)

Background Initialization (6 papers),Background/Foreground Separation (4 papers), Video Denoising and Restoration (2 papers), Hyperspectral Video Processing (14 papers), Small Target Detection (34 papers)

    5.2.3 3D Computer Vision (1 paper)

Photometric stereo (1 paper)

5.3 Applications in Computer Science (3 papers)

5.4 Applications in Physics (4 papers)

7. Available Implementations

Note: The number in parenthesis gives the total amount of papers or links for the related categories.