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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 | ||
| تاریخ دریافت: 19 مرداد 1400، تاریخ پذیرش: 15 شهریور 1401 | ||
| 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) | ||
| مراجع | ||
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