The application of tensor ring and tensor train completion to image recovery

	The application of tensor ring and tensor train completion to image recovery
International Journal of Nonlinear Analysis and Applications
مقاله 19، دوره 14، شماره 3، خرداد 2023، صفحه 223-230 اصل مقاله (1.26 M)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.24206.2688
نویسندگان
Hamid Reza Yazdani^* ¹؛ Alireza Shojaeifard¹؛ Mohsen Sahrezai²
¹Department of Mathematics, Faculty of Basic Sciences, Imam Hossein Comprehensive University, Tehran, Iran
²Faculty of Defense and Engineering, Imam Hossein University, Tehran, Iran
چکیده
Tensor completion has numerous applications in digital image processing such as image recovery and video overlay. In this paper, we consider two new approaches to tensor completion. Efficient low-rank tensor with tensor train and tensor ring for image recovery, some basic concepts about tensor algebra and completion problems are presented, after that Tensor completion based on the tensor train and tensor ring are offered and implemented on some examples for image recovery with different observed ratios. The results of these implementations are compared and final results are proposed.
کلیدواژه‌ها
Image Recovery؛ Tensor Completion (TC)؛ Tensor Ring (TR)؛ Tensor Train (TT)
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