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Novel Quaternion Orthogonal Fourier-Mellin Moments Using Optimized Factorial Calculation

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Digital Forensics and Watermarking (IWDW 2023)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 14511))

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Abstract

This paper provides an in-depth discussion on the application of quaternion orthogonal Fourier-Mellin Moments (QOFMM) in the field of digital image processing, and proposes a novel method of factorial operation aiming to optimize its computational efficiency and accuracy. In addition, this paper focuses on the importance of zero-watermark technology in the field of information security. QOFMM is an advanced feature mention technique, which is particularly applicable to the field of digital image processing and information security. In this technique, the factorial operation plays a key role. However, traditional factorial computation methods may encounter efficiency bottlenecks when dealing with large data, thus affecting the overall performance. To address this issue, this study proposes an innovative method for factorial operation, which performs factorial operation by improving the radial basis function computation strategy, aiming to reduce the computational complexity and enhance the computational accuracy. To verify the effectiveness of the proposed method, we compare it with existing methods of factorial computation. The experimental results show that the new method significantly improves both processing speed and computational capability. Overall, this paper provides a new QOFMM optimization strategy, which not only improves the computational efficiency and accuracy but also brings a new research direction to the field of digital image processing and zero-watermarking technology.

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Acknowledgment

This work was supported by Shandong Provincial Natural Science Foundation (ZR2023QF032, ZR2020MF054, ZR2023QF018, ZR2022LZH011); Taishan Scholar Program of Shandong (tsqn202306251); National Natural Science Foundation of China (62302249, 62272255, 62302248); Youth Innovation Team of Colleges and Universities in Shandong Province (2022KJ124); Ability Improvement Project of Science and Technology SMES in Shandong Province (2023TSGC0217, (2022TSGC2485); The Chunhui Plan Cooperative Scientific Research Project of Ministry of Education (HZKY20220482); National Key Research and Development Program of China (2021YFC3340600, 2021YFC3340602); Jinan “20 Universities” (2020GXRC056); Jinan “ New 20 Universities” (20228016); QiLu First Talent Research Project (2023RCKY143), QiLu Integration Pilot Project of Science Education Industry (2023PX006, 2023PY060, 2023PX071); Key Research and Development Program of Shandong Academy of Science.

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Wang, C. et al. (2024). Novel Quaternion Orthogonal Fourier-Mellin Moments Using Optimized Factorial Calculation. In: Ma, B., Li, J., Li, Q. (eds) Digital Forensics and Watermarking. IWDW 2023. Lecture Notes in Computer Science, vol 14511. Springer, Singapore. https://doi.org/10.1007/978-981-97-2585-4_19

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  • DOI: https://doi.org/10.1007/978-981-97-2585-4_19

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-97-2584-7

  • Online ISBN: 978-981-97-2585-4

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