KMS Of Academy of mathematics and systems sciences, CAS
| New time dependent pretreat models based on total variational image restoration | |
| Xu, Jing1,2; Chang, Qian-shun3 | |
| 2011 | |
| Source Publication | ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES
 |
| ISSN | 0168-9673 |
| Volume | 27Issue:1Pages:129-140 |
| Abstract | In this paper, we propose new pretreat models for total variation (TV) minimization problems in image deblurring and denoising. Specially, blur operator is considered as useful information in restoration. New models in form is equivalent to pretreat the initial value by image blur operator. We successfully get a new (L. Rudin, S. Osher, and E. Fatemi) ROF model, a new level set motion model and a new anisotropic diffusion model respectively. Numerical experiments demonstrate that, under the same stopping rule, the proposed methods significantly accelerate the convergence of the mothed, save computation time and get the same restored effect. |
| Keyword | Total variation image restoration level set motion anisotropic diffusion PSNR |
| DOI | 10.1007/s10255-011-0046-1 |
| Language | 英语 |
| Funding Project | Youth Foundation of Tianyuan Mathematics ; National Natural Science Foundation of China[10926037] ; National Natural Science Foundation of China[10771210] ; National Natural Science Foundation of China[11001239] ; Singapore MOE[T207B2202] ; Singapore NRF[NRF2007IDM-IDM002-010] |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics, Applied |
| WOS ID | WOS:000285358500012 |
| Publisher | SPRINGER HEIDELBERG |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/12237 |
| Collection | 中国科学院数学与系统科学研究院 |
| Corresponding Author | Xu, Jing |
| Affiliation | 1.Zhejiang Gongshang Univ, Sch Math & Stat, Hangzhou 310018, Peoples R China 2.Nanyang Technol Univ, Sch Phys & Math Sci, Div Math Sci, Singapore 639798, Singapore 3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 110190, Peoples R China |
| Recommended Citation GB/T 7714 | Xu, Jing,Chang, Qian-shun. New time dependent pretreat models based on total variational image restoration[J]. ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES,2011,27(1):129-140. |
| APA | Xu, Jing,&Chang, Qian-shun.(2011).New time dependent pretreat models based on total variational image restoration.ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES,27(1),129-140. |
| MLA | Xu, Jing,et al."New time dependent pretreat models based on total variational image restoration".ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES 27.1(2011):129-140. |
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