journal article·2023-07-21Open access

A Robust and Secure Watermarking Approach Based on Hermite Transform and SVD-DCT

Sandra L. Gomez-Coronel, Ernesto Moya-Albor, Jorge Brieva, Andrés Romero-Arellano

Applied Sciences· Volume 13· Issue 14

Abstract

Currently, algorithms to embed watermarks into digital images are increasing exponentially, for example in image copyright protection. However, when a watermarking algorithm is applied, the preservation of the image’s quality is of utmost importance, for example in medical images, where improper embedding of the watermark could change the patient’s diagnosis. On the other hand, in digital images distributed over the Internet, the owner of the images must also be protected. In this work, an imperceptible, robust, secure, and hybrid watermarking algorithm is presented for copyright protection. It is based on the Hermite Transform (HT) and the Discrete Cosine Transform (DCT) as a spatial–frequency representation of a grayscale image. Besides, it uses a block-based strategy and a perfectibility analysis of the best embedding regions inspired by the Human Vision System (HVS), giving the imperceptibility of the watermark, and a Singular-Value Decomposition (SVD) approach improved robustness against attacks. In addition, the proposed method can embed two watermarks, a digital binary image (LOGO) and information about the owner and the technical data of the original image in text format (MetaData). To secure both watermarks, the proposed method uses the Jigsaw Transform (JST) and the Elementary Cellular Automaton (ECA) to encrypt the image LOGO and a random sequence generator and the XOR operation to encrypt the image MetaData. On the other hand, the proposed method was tested using a public dataset of 49 grayscale images to assess the effectiveness of the watermark embedding and extraction procedures. Furthermore, the proposed watermarking algorithm was evaluated under several processing and geometric algorithms to demonstrate its robustness to the majority, intentional or unintentional, attacks, and a comparison was made with several state-of-the-art techniques. The proposed method obtained average values of PSNR = 40.2051 dB, NCC = 0.9987, SSIM = 0.9999, and MSSIM = 0.9994 for the watermarked image. In the case of the extraction of the LOGO, the proposal gave MSE = 0, PSNR ≫ 60 dB, NCC = 1, SSIM = 1, and MSSIM = 1, whereas, for the image MetaData extracted, it gave BER = 0% and Berror=0. Finally, the proposed encryption method presented a large key space (K=1.2689×1089) for the LOGO image.
Source: crossref · Quality: baseline

Research context

OpenAlex topics: Advanced Steganography and Watermarking Techniques · Chaos-based Image/Signal Encryption · Digital Media Forensic Detection

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

Instituto Politécnico Nacional, UPIITA. Av. IPN No. 2580, Col. La Laguna Ticoman, CDMX 07340, Mexico

Facultad de Ingeniería, Universidad Panamericana, Augusto Rodin 498, Ciudad de México 03920, Mexico

Funding

Instituto Politécnico Nacional and by Universidad Panamericana · Universidad Panamericana

References (58)

Show source-provided references
1. Efficient Hybrid Blind Watermarking in DWT-DCT-SVD with Dual Biometric Features for Images10.1155/2022/2918126 ↗
2. Dharmika, B., Rupa, C., Haritha, D., and Vineetha, Y. (2022, January 20–22). Privacy Preservation of Medical Health Records using Symmetric Block Cipher and Frequency Domain Watermarking Techniques. Proceedings of the 2022 International Conference on Inventive Computation Technologies (ICICT), Lalitpur, Nepal.
3. A Novel Multipurpose Watermarking Scheme Capable of Protecting and Authenticating Images with Tamper Detection and Localisation Abilities10.1109/ACCESS.2022.3198963 ↗
4. Fragile watermarking for image authentication based on DWT-SVD-DCT techniques10.1007/s11042-021-10879-z ↗
5. Double-encrypted watermarking algorithm based on cosine transform and fractional Fourier transform in invariant wavelet domain10.1016/j.ins.2020.11.020 ↗
6. A Novel Hybrid Watermarking scheme with Image authentication based on frequency domain, 2- Level SVD using chaotic map
7. A robust hybrid digital watermarking technique against a powerful CNN-based adversarial attack10.1007/s11042-020-09555-5 ↗
8. Performance comparison of various watermarking techniques10.1007/s11042-020-09262-1 ↗
9. A robust image watermarking scheme in hybrid transform domains resisting to rotation attacks10.1007/s11042-019-08490-4 ↗
10. Multi-dimensional particle swarm optimization for robust blind image watermarking using intertwining logistic map and hybrid domain10.1007/s00500-019-04563-6 ↗
11. A comparison between the performance of DWT and LWT in image watermarking10.11591/eei.v9i3.1754 ↗
12. Hybrid domain watermarking technique for copyright protection of images using speech watermarks10.1007/s12652-019-01295-1 ↗
13. Improved wavelet-based image watermarking through SPIHT10.1007/s11042-018-6177-0 ↗
14. Zero-Watermarking Algorithm in Transform Domain Based on RGB Channel and Voting Strategy
15. An effective image-Adaptive hybrid watermarking scheme with transform coefficients10.1142/S0219467820500023 ↗
16. A new robust and imperceptible image watermarking scheme based on hybrid transform and PSO
17. A novel hybrid of DCT and SVD in DWT domain for robust and invisible blind image watermarking with optimal embedding strength10.1007/s11042-017-4941-1 ↗
18. A robust digital image watermarking in hybrid frequency domain10.14419/ijet.v7i3.6.14981 ↗
19. A secure and robust digital image watermarking techniques10.35940/ijitee.L2563.1081219 ↗
20. A semi-blind HVS based image watermarking scheme using elliptic curve cryptography10.1007/s11042-017-5351-0 ↗
21. Color image ownership protection based on spectral domain watermarking using QR codes and QIM10.1007/s11042-017-5178-8 ↗
22. El-Shafai, W., El-Rabaie, S., El-Halawany, M., and Abd El-Samie, F. (2018). Efficient hybrid watermarking schemes for robust and secure 3D-MVC communication. Int. J. Commun. Syst., 31.10.1002/dac.3563 ↗
23. Efficient multi-level security for robust 3D color-plus-depth HEVC10.1007/s11042-018-6036-z ↗
24. Exploring robust and blind watermarking approach of colour images in DWT-DCT-SVD domain for copyright protection10.1504/IJESDF.2018.089215 ↗
25. GA based lossless and robust image watermarking using NBP-IWT-DCT-SVD transforms
26. Security of medical images for telemedicine: A systematic review10.1007/s11042-022-11956-7 ↗
27. A DWT based watermarking approach for medical image protection10.1007/s12652-020-02450-9 ↗
28. A DCT Fractional Bit Replacement Based Dual Watermarking Algorithm for Image Authentication10.2174/2666255813999200818203600 ↗
29. LWT-DCT based Image Watermarking Scheme using Normalized SVD10.2174/2666255813999200821161656 ↗
30. Efficient methods for digital image watermarking and information embedding10.1016/j.measen.2022.100520 ↗
31. A Hybrid robust watermarking system based on discrete cosine transform, discrete wavelet transform, and singular value decomposition
32. An Optimized Hybrid Algorithm for Blind Watermarking Scheme Using Singular Value Decomposition in RDWT-DCT Domain10.1080/19361610.2020.1838251 ↗
33. Hybrid watermarking scheme based on singular value decomposition ghost imaging
34. Imperceptible digital watermarking scheme combining 4-level discrete wavelet transform with singular value decomposition10.1007/s11042-020-08987-3 ↗
35. Naffouti, S.E., Kricha, A., and Sakly, A. (2022). The Visual Computer, Springer.
36. University of Southern California (2023, January 27). The USC-SIPI Image Database. Available online: http://sipi.usc.edu/database.
37. University of Waterloo (2023, January 23). The Waterloo Fractal Coding and Analysis Group. Available online: https://links.uwaterloo.ca/Repository/.
38. Fabien Petitcolas (2023, January 23). The Information Hiding Homepage. Available online: https://www.petitcolas.net/watermarking/stirmark/.
39. Computer Vision Group, University of Granada (2023, January 23). Dataset of Standard 512X512 Grayscale Test Images. Available online: https://ccia.ugr.es/cvg/CG/base.htm.
40. Gonzalez, R.C., and Wood, R.E. (2023, January 23). Image Databases: “Standard” Test Images. Available online: https://www.imageprocessingplace.com/root_files_V3/image_databases.htm.
41. Moya-Albor, E., Romero-Arellano, A., Brieva, J., and Gomez-Coronel, S.L. (2023). Color Image Encryption Algorithm Based on a Chaotic Model Using the Modular Discrete Derivative and Langton’s Ant. Mathematics, 11.10.3390/math11102396 ↗
42. A Novel 3D Chaotic System with Line Equilibrium: Multistability, Integral Sliding Mode Control, Electronic Circuit, FPGA Implementation and Its Image Encryption10.1109/ACCESS.2022.3181424 ↗
43. Image encryption techniques based on the fractional Fourier transform10.1117/12.509137 ↗
44. Statistical mechanics of cellular automata10.1103/RevModPhys.55.601 ↗
45. Chen, Z. (2018, January 15–17). Singular Value Decomposition and Its Applications in Image Processing. Proceedings of the 2018 International Conference on Mathematics and Statistics, Porto, Portugal. ICoMS 2018.10.1145/3274250.3274261 ↗
46. Chang, C.C., Hu, Y.S., and Lin, C.C. (2007, January 7–9). A digital watermarking scheme based on singular value decomposition. Proceedings of the Combinatorics, Algorithms, Probabilistic and Experimental Methodologies: First International Symposium, ESCAPE 2007, Hangzhou, China.
47. Moon, T.K. (2005). Error Correction Coding: Mathematical Methods and Algorithms, John Wiley & Sons, Inc.10.1002/0471739219 ↗
48. What’s that deal with the DCT?10.1109/38.219457 ↗
49. Deshlahra, A., Shirnewar, G., and Sahoo, A. (2013, January 24). A comparative study of DCT, DWT & hybrid (DCT-DWT) transform. Proceedings of the International Conference on Emerging Trends in Computer and Image Processing (ICETCIP), IRD India, Bangalore, India. Available online: http://dspace.nitrkl.ac.in/dspace/handle/2080/1879.
50. The discrete cosine transform (DCT): Theory and application
51. High-quality restoration image encryption using DCT frequency-domain compression coding and chaos10.1038/s41598-022-20145-3 ↗
52. Begum, M., and Uddin, M.S. (2020). Digital Image Watermarking Techniques: A Review. Information, 11.10.3390/info11020110 ↗
53. Katzenbeisser, S., and Petitcolas, F.A. (2000). Information Hiding Techniques for Steganography and Digital Watermarking, Artech House, Inc.10.1201/1079/43263.28.6.20001201/30373.5 ↗
54. Luhach, A.K., Jat, D.S., Hawari, K.B.G., Gao, X.Z., and Lingras, P. (2019). Advanced Informatics for Computing Research: Third International Conference, ICAICR 2019, Shimla, India, 15–16 June 2019, Revised Selected Papers, Part I, Springer.10.1007/978-981-15-0108-1 ↗
55. A blind multiple watermarks based on human visual characteristics
56. Dowling, J., Planitz, B.M., Maeder, A.J., Du, J., Pham, B., Boyd, C., Chen, S., Bradley, A.P., and Crozier, S. (2007, January 3–5). A comparison of DCT and DWT block based watermarking on medical image quality. Proceedings of the Digital Watermarking: 6th International Workshop, IWDW 2007, Guangzhou, China.10.1007/978-3-540-92238-4_35 ↗
57. Horé, A., and Ziou, D. (2010, January 23–26). Image Quality Metrics: PSNR vs. SSIM. Proceedings of the 2010 20th International Conference on Pattern Recognition, Istanbul, Turkey.10.1109/ICPR.2010.579 ↗
58. Image quality assessment: From error visibility to structural similarity10.1109/TIP.2003.819861 ↗