2023 Shenzhen Cup Mathematical Modeling Question B

Question B Copyright Protection of Electronic Resources  

Copyright, also known as copyright, includes the right of publication, authorship, modification, protection of the integrity of the work, reproduction, distribution, rental, exhibition, performance, projection, broadcasting, information network dissemination, filming, and adaptation rights, translation rights, compilation rights and other rights that should be enjoyed by the copyright owner.

Today, with the widespread use of computer networks, more and more electronic resources will be quickly transferred through the network. At the same time, how to protect the copyright of electronic resources has gradually become crucial. This problem is also one of the key issues in the field of information security. Digital watermark (electronic water mark) technology is one of the key technologies to solve this problem. But because visible watermarking (visible watermarking) often destroys the structure of the picture itself when it is applied to the copyright protection of electronic pictures, and because the embedded information is visible, it is easy to be identified and eliminated. Therefore, steganography has been widely concerned and used.

Steganography is generally regarded as an important branch of information hiding, which specializes in how to hide information that actually exists. Steganography has a long history, with some cases dating back to hundreds of years BC. With the rapid development of computer and Internet technology, the research on modern steganographic technology is considered to have started in the 1990s. Because steganographic technology can embed specific information into the information carrier and is not easy to be detected, it can be widely used in copyright protection, data addition and other fields.

Question 1: For the picture P in Appendix 1, establish a mathematical model to generate the picture SP embedded with information , so that the picture SP is as close as possible to the original picture P in human vision. Design and implement the algorithm for generating image SP, put the generated SP source code and the resulting image SP in Appendix A of the entry; give the source code used to extract copyright information from the image SP and place it in Appendix B of the entry.

Question 2 Using the model and algorithm in Question 1, is it possible to embed all the textual information in the "Copyright Law of the People's Republic of China" (Third Amendment) [1] into the picture in Attachment 1? If not, how much can be embedded at most?

Question 3 In the process of electronic image transmission, it may be compressed or stored in different image formats, or may be scaled, rotated or other geometric deformations. At this point, is the algorithm in question 1 still usable? If not, how can it be improved?

Question 4 If you want to protect the copyright of other electronic pictures, what should you pay attention to when using the algorithm in question 1? Please give at most 3 precautions and explain why.

appendix

 

references

[1] http://www.gov.cn/guoqing/2021-10/29/content_5647633.htm


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