Novel Quaternion Orthogonal Fourier-Mellin Moments Using Optimized Factorial Calculation

Chunpeng Wang, Long Chen, Zhiqiu Xia, Jian Li, Qi Li, Ziqi Wei, Changxu Wang, Bing Han

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.