Truncated Nuclear Norm Minimization for Image Restoration Based on Iterative Support Detection
المؤلفون المشاركون
المصدر
Mathematical Problems in Engineering
العدد
المجلد 2014، العدد 2014 (31 ديسمبر/كانون الأول 2014)، ص ص. 1-17، 17ص.
الناشر
Hindawi Publishing Corporation
تاريخ النشر
2014-11-17
دولة النشر
مصر
عدد الصفحات
17
التخصصات الرئيسية
الملخص EN
Recovering a large matrix from limited measurements is a challenging task arisingin many real applications, such as image inpainting, compressive sensing, andmedical imaging, and these kinds of problems are mostly formulated as low-rankmatrix approximation problems.
Due to the rank operator being nonconvexand discontinuous, most of the recent theoretical studies use the nuclear normas a convex relaxation and the low-rank matrix recovery problem is solvedthrough minimization of the nuclear norm regularized problem.
However, amajor limitation of nuclear norm minimization is that all the singular valuesare simultaneously minimized and the rank may not be well approximated (Hu et al., 2013).
Correspondingly, in this paper, we propose a new multistage algorithm, whichmakes use of the concept of Truncated Nuclear Norm Regularization (TNNR)proposed by Hu et al., 2013, and iterative support detection (ISD) proposed by Wang and Yin, 2010, to overcomethe above limitation.
Besides matrix completion problems considered by Hu et al., 2013, the proposed method can be also extended to the general low-rank matrixrecovery problems.
Extensive experiments well validate the superiority of ournew algorithms over other state-of-the-art methods.
نمط استشهاد جمعية علماء النفس الأمريكية (APA)
Wang, Yilun& Su, Xinhua. 2014. Truncated Nuclear Norm Minimization for Image Restoration Based on Iterative Support Detection. Mathematical Problems in Engineering،Vol. 2014, no. 2014, pp.1-17.
https://search.emarefa.net/detail/BIM-1046553
نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)
Wang, Yilun& Su, Xinhua. Truncated Nuclear Norm Minimization for Image Restoration Based on Iterative Support Detection. Mathematical Problems in Engineering No. 2014 (2014), pp.1-17.
https://search.emarefa.net/detail/BIM-1046553
نمط استشهاد الجمعية الطبية الأمريكية (AMA)
Wang, Yilun& Su, Xinhua. Truncated Nuclear Norm Minimization for Image Restoration Based on Iterative Support Detection. Mathematical Problems in Engineering. 2014. Vol. 2014, no. 2014, pp.1-17.
https://search.emarefa.net/detail/BIM-1046553
نوع البيانات
مقالات
لغة النص
الإنجليزية
الملاحظات
Includes bibliographical references
رقم السجل
BIM-1046553
قاعدة معامل التأثير والاستشهادات المرجعية العربي "ارسيف Arcif"
أضخم قاعدة بيانات عربية للاستشهادات المرجعية للمجلات العلمية المحكمة الصادرة في العالم العربي
تقوم هذه الخدمة بالتحقق من التشابه أو الانتحال في الأبحاث والمقالات العلمية والأطروحات الجامعية والكتب والأبحاث باللغة العربية، وتحديد درجة التشابه أو أصالة الأعمال البحثية وحماية ملكيتها الفكرية. تعرف اكثر