| 分数阶图像去噪变分模型及投影算法 |
| |
| 引用本文： | 张军,韦志辉. 分数阶图像去噪变分模型及投影算法[J]. 计算机工程与应用, 2009, 45(5): 1-6. DOI: 10.3778/j.issn.1002-8331.2009.05.001 |
| |
| 作者姓名： | 张军 韦志辉 |
| |
| 作者单位： | 南京理工大学,理学院,南京,210094;南京理工大学,计算机科学与技术学院,南京,210094 |
| |
| 基金项目： | 国家高技术研究发展计划(863计划)，国家自然科学基金，教育部高等学校博士学科点专项科研基金 |
| |
| 摘 要： | 在图像去噪同时保持图像的纹理等细节是非常重要的。首先利用分数阶导数定义了新的分数阶有界变差函数空间，然后利用分数阶有界变差空间及负指数Sobolev空间，提出了分数阶变分图像去噪模型，最后提出了求解分数阶变分模型的投影算法并证明了算法的收敛性。实验结果表明，分数阶变分模型在提高峰值信噪比和保持图像纹理细节两个方面都非常有效。
|
| 关 键 词： | 图像去噪 分教阶微分 纹理 峰值信噪比 |
| 收稿时间： | 2008-10-16 |
| 修稿时间： | 2008-11-13 |
Fractional variational model and projection algorithm for image denoising |
| |
| ZHANG Jun,WEI Zhi-hui. Fractional variational model and projection algorithm for image denoising[J]. Computer Engineering and Applications, 2009, 45(5): 1-6. DOI: 10.3778/j.issn.1002-8331.2009.05.001 |
| |
| Authors: | ZHANG Jun WEI Zhi-hui |
| |
| Affiliation: | 1.School of Science，Nanjing University of Science and Technology，Nanjing 210094，China 2.School of Computer Science and Technology，Nanjing University of Science and Technology，Nanjing 210094，China |
| |
| Abstract: | It is important to preserve fine scale features such as texture in the process of image denoising.In this paper,a new space of functions of fractional bounded variation is defined.Based on the new space of functions of fractional bounded variation and the negative Sobolev space,a fractional variational model for image denoising and the project algorithm for solving the model are proposed.The convergence of the algorithm has been proved in this paper also.The numerical results show that the fractional variat... |
| |
| Keywords: | image denoising fractional derivative texture Peak Signal to Noise Ratio（PSNR） |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
| 点击此处可从《计算机工程与应用》浏览原始摘要信息 |
|
点击此处可从《计算机工程与应用》下载免费的PDF全文 |
