HPM-Based Dynamic Wavelet Transform and Its Application in Image Denoising
المؤلف
المصدر
Mathematical Problems in Engineering
العدد
المجلد 2013، العدد 2013 (31 ديسمبر/كانون الأول 2013)، ص ص. 1-10، 10ص.
الناشر
Hindawi Publishing Corporation
تاريخ النشر
2013-09-24
دولة النشر
مصر
عدد الصفحات
10
التخصصات الرئيسية
الملخص EN
Wavelet-based multiscale interpolation operator is often employed to construct the adaptive numerical method for PDEs, in which the computational complexity of the wavelet transform is one of the main factors affecting the algorithm efficiency.
As the wavelet transform just acts as the detector of the characteristic points in the interpolation operator, the multiscale wavelet interpolation operator can be viewed as a nonlinear problem.
Based on this assumption, we construct an approximate dynamic interpolation operator with the homotopy perturbation method (HPM), which decreases the computational complexity of the wavelet transform appearing in the wavelet interpolation operator from O((1/3)42J−1) to O(4J), where J is the amount of the wavelet scales.
Then an adaptive algorithm solving the Perona-Malik model on image denoising is constructed with the HPM-based interpolation operator.
Last, the quasi-Shannon wavelet is employed to design the experiments on the medical image and some artificial images denoising.
The experiment results show that the simplified wavelet interpolation operator based on HPM possesses the adaptability and nonsensitivity to the time step, which is helpful to improve the algorithm efficiency.
This illustrates that the HPM-based wavelet interpolation operator is an effective tool to solve the problems in image processing.
نمط استشهاد جمعية علماء النفس الأمريكية (APA)
Mei, Shu-Li. 2013. HPM-Based Dynamic Wavelet Transform and Its Application in Image Denoising. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-1008994
نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)
Mei, Shu-Li. HPM-Based Dynamic Wavelet Transform and Its Application in Image Denoising. Mathematical Problems in Engineering No. 2013 (2013), pp.1-10.
https://search.emarefa.net/detail/BIM-1008994
نمط استشهاد الجمعية الطبية الأمريكية (AMA)
Mei, Shu-Li. HPM-Based Dynamic Wavelet Transform and Its Application in Image Denoising. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-1008994
نوع البيانات
مقالات
لغة النص
الإنجليزية
الملاحظات
Includes bibliographical references
رقم السجل
BIM-1008994
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