A Novel Approach for Quaternion Algebra Based JSEG Color Texture Segmentation
Article Sidebar
Main Article Content
Abstract
In this work, a novel colour quantization approach has been applied to the JSEG colour texture segmentation using quaternion algebra. As a rule, the fundamental vectors of the colour space are derived by inverting the three RGB colour directions in the complex hyperplanes. In the proposed system, colour is represented as a quaternion because quaternion algebra provides a very intuitive means of working with homogeneous coordinates. This representation views a colour pixel as a point in the three-dimensional space. A novel quantization approach that makes use of projective geometry and level set methods has been produced as a consequence of the suggested model. The JSEG colour texture segmentation will use this technique. The new colour quantization approach utilises the binary quaternion moment preserving thresholding methodology, and is therefore a splintering clustering method. This method is used to segment the colour clusters found inside the RGB cube and the colour consistency throughout the spectrum and in the space are both considered. The results of the segmentation are compared with JSEG as well as with the most recent standard segmentation techniques. These comparisons show that the suggested quantization technique makes JSEG segmentation more robust.
Article Details
References
Voight, John. Quaternion algebras. Springer Nature, 2021.
Zhang, Shuai, Yi Tay, Lina Yao, and Qi Liu. "Quaternion knowledge graph embeddings." Advances in neural information processing systems 32 (2019).
Parcollet, Titouan, Mohamed Morchid, and Georges Linarès. "A survey of quaternion neural networks." Artificial Intelligence Review 53, no. 4 (2020): 2957-2982.
Zhu, Xuanyu, Yi Xu, Hongteng Xu, and Changjian Chen. "Quaternion convolutional neural networks." In Proceedings of the European Conference on Computer Vision (ECCV), pp. 631-647. 2018.
Liu, Yang, Yanling Zheng, Jianquan Lu, Jinde Cao, and Leszek Rutkowski. "Constrained quaternion-variable convex optimization: A quaternion-valued recurrent neural network approach." IEEE transactions on neural networks and learning systems 31, no. 3 (2019): 1022-1035.
Chen, Yongyong, Xiaolin Xiao, and Yicong Zhou. "Low-rank quaternion approximation for color image processing." IEEE Transactions on Image Processing 29 (2019): 1426-1439.
Ngan, Roan Thi, Mumtaz Ali, Dan E. Tamir, Naphtali D. Rishe, and Abraham Kandel. "Representing complex intuitionistic fuzzy set by quaternion numbers and applications to decision making." Applied Soft Computing 87 (2020): 105961.
Qi, Liqun, Ziyan Luo, Qing-Wen Wang, and Xinzhen Zhang. "Quaternion matrix optimization: Motivation and analysis." Journal of Optimization Theory and Applications 193, no. 1 (2022): 621-648.
Liu, Long-Sheng, Qing-Wen Wang, Jiang-Feng Chen, and Yu-Zhu Xie. "An exact solution to a quaternion matrix equation with an application." Symmetry 14, no. 2 (2022): 375.
Neshat, Mehdi, Meysam Majidi Nezhad, Seyedali Mirjalili, Giuseppe Piras, and Davide Astiaso Garcia. "Quaternion convolutional long short-term memory neural model with an adaptive decomposition method for wind speed forecasting: North aegean islands case studies." Energy Conversion and Management 259 (2022): 115590.
Xie, Mengyan, Qing-Wen Wang, and Yang Zhang. "The Minimum-Norm Least Squares Solutions to Quaternion Tensor Systems." Symmetry 14, no. 7 (2022): 1460.
Zhang, Ziye, Xiaofeng Wei, Shuzhan Wang, Chong Lin, and Jian Chen. "Fixed-time pinning common synchronization and adaptive synchronization for delayed quaternion-valued neural networks." IEEE Transactions on Neural Networks and Learning Systems (2022).
Mehany, Mahmoud Saad, and Qing-Wen Wang. "Three symmetrical systems of coupled Sylvester-like quaternion matrix equations." Symmetry 14, no. 3 (2022): 550.
Brignone, Christian, Gioia Mancini, Eleonora Grassucci, Aurelio Uncini, and Danilo Comminiello. "Efficient sound event localization and detection in the quaternion domain." IEEE Transactions on Circuits and Systems II: Express Briefs 69, no. 5 (2022): 2453-2457.
Shang, Yuanyuan, Yuchen Pan, Xiao Jiang, Zhhong Shao, Guodong Guo, Tie Liu, and Hui Ding. "LQGDNet: A Local Quaternion and Global Deep Network for Facial Depression Recognition." IEEE Transactions on Affective Computing (2021).
Yan, Hongyun, Yuanhua Qiao, Lijuan Duan, and Jun Miao. "Novel methods to global Mittag-Leffler stability of delayed fractional-order quaternion-valued neural networks." Neural Networks 142 (2021): 500-508.
Sun, Yehan, Qingtang Su, Huanying Wang, and Gang Wang. "A blind dual color images watermarking based on quaternion singular value decomposition." Multimedia Tools and Applications 81, no. 5 (2022): 6091-6113.
Wu, Tingting, Zhihui Mao, Zeyu Li, Yonghua Zeng, and Tieyong Zeng. "Efficient Color Image Segmentation via Quaternion-based $$ L_1/L_2 $$ L 1/L 2 Regularization." Journal of Scientific Computing 93, no. 1 (2022): 1-26.
Huang, Chaoyan, Yingying Fang, Tingting Wu, Tieyong Zeng, and Yonghua Zeng. "Quaternion Screened Poisson Equation for Low-Light Image Enhancement." IEEE Signal Processing Letters 29 (2022): 1417-1421.
Li, Jiaxue, and Yicong Zhou. "Automatic Color Image Stitching Using Quaternion Rank-1 Alignment." In Proceedings of the IEEE/CVF Conference on Computer Vision and Pattern Recognition, pp. 19720-19729. 2022.
Bi, Xiuli, Chao Shuai, Bo Liu, Bin Xiao, Weisheng Li, and Xinbo Gao. "Privacy-Preserving Color Image Feature Extraction by Quaternion Discrete Orthogonal Moments." IEEE Transactions on Information Forensics and Security 17 (2022): 1655-1668.
Li, Qi, Xingyuan Wang, Bin Ma, Xiaoyu Wang, Chunpeng Wang, Zhiqiu Xia, and Yunqing Shi. "Image steganography based on style transfer and quaternion exponent moments." Applied Soft Computing 110 (2021): 107618.
Liu, Xilin, Yongfei Wu, Hao Zhang, Jiasong Wu, and Liming Zhang. "Quaternion discrete fractional Krawtchouk transform and its application in color image encryption and watermarking." Signal Processing 189 (2021): 108275.
Sun, Yehan, Qingtang Su, Huanying Wang, and Gang Wang. "A blind dual color images watermarking based on quaternion singular value decomposition." Multimedia Tools and Applications 81, no. 5 (2022): 6091-6113.
Xia, Zhiqiu, Xingyuan Wang, Chunpeng Wang, Bin Ma, Hao Zhang, and Qi Li. "Novel quaternion polar complex exponential transform and its application in color image zero-watermarking." Digital Signal Processing 116 (2021): 103130.
Kumar, Gangavarapu Venkata Satya, and Pillutla Gopala Krishna Mohan. "Enhanced Content-Based Image Retrieval Using Information Oriented Angle-Based Local Tri-Directional Weber Patterns." International Journal of Image and Graphics 21, no. 04 (2021): 2150046.
Bianconi, Francesco, Antonio Fernández, and Raúl E. Sánchez-Yáñez. "Special Issue Texture and Color in Image Analysis." Applied Sciences 11, no. 9 (2021): 3801.
Patil, Kiran H., and M. Nirupama Bhat. "Survey of Color Feature Extraction Schemes in Content-Based Picture Recovery System." In Computational Vision and Bio-Inspired Computing, pp. 719-732. Springer, Singapore, 2021.
Tripathy, Debi Prasad, and K. Guru Raghavendra Reddy. "Separation of gangue from limestone using GLCM, LBP, LTP and Tamura." Journal of Mines, Metals and Fuels (2022): 26-33.
Patel, Bhagwandas, Kuldeep Yadav, and Debashis Ghosh. "Current Trend and Methodologies of Content-Based Image Retrieval: Survey." In Proceedings of Second International Conference on Smart Energy and Communication, pp. 647-665. Springer, Singapore, 2021.
WT, CHEMBIAN. "Colour Image Retrieval Based on Adaptive Jseg Image Segmentation and Statistical Distance Measure." Available at SSRN 4159538.
Tsaryk, V., and V. Hnatushenko. "Research of methods of distribution of graphic objects on websites for assessment of interface quality." System technologies 3, no. 140 (2022): 143-154.
Wang, Yong-Gang, Jie Yang, and Yu-Chou Chang. "Color–texture image segmentation by integrating directional operators into JSEG method." Pattern Recognition Letters 27, no. 16 (2006): 1983-1990.
Wang, Chao, Ai-Ye Shi, Xin Wang, Fang-ming Wu, Feng-Chen Huang, and Li-Zhong Xu. "A novel multi-scale segmentation algorithm for high resolution remote sensing images based on wavelet transform and improved JSEG algorithm." Optik 125, no. 19 (2014): 5588-5595.
Wang, Zuyuan, and Ruedi Boesch. "Automatic forest boundary delineation in aerial images." In 2006 IEEE International Symposium on Geoscience and Remote Sensing, pp. 2605-2608. IEEE, 2006.