Recovery of Sign Bits of DCT Coefficients

@article{li:DCT:JVCI2024, author = {Ruiyuan Lin and Sheng Liu and Jun Jiang and Shujun Li and Chengqing Li and C.-C. Jay Kuo}, title = {Recovering Sign Bits of {DCT} Coefficients in Digital Images as an Optimization Problem}, journal = {Journal of Visual Communication and Image Representation}, year = {2024}, volume = {}, number = {}, pages = {}, doi = {}, }

Installation

1. Install MATLAB

2. Install CPLEX >= 12.6 and its MATLAB interface

3. Add path '/MIP_private' and '/jpeg_toolbox' in MATLAB:

   addpath('./MIP_private');
   addpath('./jpeg_toolbox');

Main function

• cplex_signbit: This function invokes IBM ILOG CPLEX’s MATLAB Cplex class to solve the problem of recovering unknown sign bits of DCT coefficients of a DCT-transformed image with a linear programming model. Example:

  [imgs, Ts, imgs_dct2, PSNRs, SSIMs, BERs] = cplex_signbit(img_dct2, mask, DCpre_mode, DCTabs_min, relaxX, relaxZ, recovery_method, bDClevelshifted, H, W, Xmax)

• cplex_signbitHierarchyDCACMIP: This function solves the problem of recovering unknown sign bits of DCT coefficients of a DCT-transformed image ‘image_dct2’ region by region (each by a mixed integer programming model).

  Example:

  [imgs, Ts, imgs_dct2, SB, PSNRs, SSIMs, BERs] = cplex_signbitHierarchyDCACMIP(img_dct2, mask, regionSize_H, regionSize_W, DCpred_mode, DCdepend, relaxXBound, relaxZBound, DCpassByRegion, DCTabs_min, timeLimit, relatGap, DCpass_method, recovery_method, relaxXBound_LP, relaxZBound_LP, bDClevelshifted, H, W, Xmax, fileLabel)

Batch scripts

Running the following scripts with some modification to reproduce the experimental result:

• batch_LP.m
• batch_LP_JPEG.m
• batch_MIP.m

Attention

• Check the version compatibility between CPLEX and MATLAB on IBM's official website https://www.ibm.com/software/reports/compatibility/clarity/productsForPrereq.html
• If the version of MATLAB you are using does not support file.folder such as line 15 of batch_LP.m, manually replace or switch to a later version of MATLAB

For more detailed description, see document.md.

License

This project is released under the Apache 2.0 license.

Citation