کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
6892394 | 1445355 | 2017 | 17 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
An adaptive fourth-order partial differential equation for image denoising
ترجمه فارسی عنوان
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
علوم کامپیوتر (عمومی)
چکیده انگلیسی
To overcome the weakness of second order methods such as Perona-Malik model for image denoising, various high order models have been proposed and studied. However, there is not too much analysis of these equations to be found in the literature. In this paper, we propose an adaptive fourth-order partial differential equation, which joints a fourth-order term and a second-order term. The model takes advantage of the fourth-order model's better image avoiding staircase effect and the second-order model's better edge preserving effect. By introducing a functional framework and k-bounded partial variation (BPVk) space, we prove the existence of a weak solution of the proposed model. Experimental results show that the proposed model can alleviate the staircase effect and preserve edges accurately.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 74, Issue 10, 15 November 2017, Pages 2529-2545
Journal: Computers & Mathematics with Applications - Volume 74, Issue 10, 15 November 2017, Pages 2529-2545
نویسندگان
Xiaojuan Zhang, Wanzhou Ye,