Institutional Repository of Chinese Acad Sci, Inst Automat, Natl Lab Pattern Recognit, Beijing 100190, Peoples R China
Interpreting and Extending the Guided Filter via Cyclic Coordinate Descent | |
Dai, Longquan1![]() ![]() ![]() ![]() | |
Source Publication | IEEE TRANSACTIONS ON IMAGE PROCESSING
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ISSN | 1057-7149 |
2019-02-01 | |
Volume | 28Issue:2Pages:767-778 |
Abstract | The guided filter (GF) is a widely used smoothing tool in computer vision and image processing. However, to the best of our knowledge, few papers investigate the mathematical connection between this filter and the least-squares optimization. In this paper, we first interpret the guided filter as the cyclic coordinate descent (CCD) solver of a least-squares objective function. This discovery implies an extension approach to generalize the guided filter since we can change the least-squares objective function and define new filters as the first pass iteration of the CCD solver of modified objective functions. In addition, referring to the iterative minimizing procedure of the CCD, we can derive new rolling filtering schemes. So, we are reasonable to say that our discovery not only reveals an approach to design new GF-like filters adapting to specific requirements of applications but also offers thorough explanations for two rolling filtering schemes of the guided filter as well as the method to extend them. Experiments prove our new proposed filters and rolling filtering schemes could produce state-of-the-art results. |
Keyword | Guided filter (GF) cyclic coordinate descent (CCD) rolling filtering schemes |
DOI | 10.1109/TIP.2018.2869720 |
WOS Keyword | BILATERAL FILTER ; ALGORITHMS ; GUIDANCE ; ROBUST |
Indexed By | SCI |
Language | 英语 |
Funding Project | Beijing Municipal Natural Science Foundation[4182067] ; Fundamental Research Funds for the Central Universities[30917011323] ; National Natural Science Foundation of China Youth Fund[61701235] ; National Natural Science Foundation of China[61772524] ; National Natural Science Foundation of China[61873293] ; National Natural Science Foundation of China[61772275] ; National Natural Science Foundation of China[61522203] ; National Natural Science Foundation of China[61732007] ; National Natural Science Foundation of China Key Funds[61331018] ; National Natural Science Foundation of China Key Funds[61620106003] ; 973 Program[2014CB347600] ; 973 Program[2014CB347600] ; National Natural Science Foundation of China Key Funds[61620106003] ; National Natural Science Foundation of China Key Funds[61331018] ; National Natural Science Foundation of China[61732007] ; National Natural Science Foundation of China[61522203] ; National Natural Science Foundation of China[61772275] ; National Natural Science Foundation of China[61873293] ; National Natural Science Foundation of China[61772524] ; National Natural Science Foundation of China Youth Fund[61701235] ; Fundamental Research Funds for the Central Universities[30917011323] ; Beijing Municipal Natural Science Foundation[4182067] |
WOS Research Area | Computer Science ; Engineering |
WOS Subject | Computer Science, Artificial Intelligence ; Engineering, Electrical & Electronic |
WOS ID | WOS:000447041700006 |
Publisher | IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://ir.ia.ac.cn/handle/173211/23053 |
Collection | 模式识别国家重点实验室_三维可视计算 |
Corresponding Author | Tang, Jinhui |
Affiliation | 1.Nanjing Univ Sci & Technol, Sch Comp Sci & Engn, Nanjing 210094, Jiangsu, Peoples R China 2.Univ Chinese Acad Sci, Beijing 101408, Peoples R China 3.Chinese Acad Sci, Inst Automat, Natl Lab Pattern Recognit, Beijing 100190, Peoples R China 4.CASA Environm Technol Co Ltd, CASA EM & EW IOT Res Ctr, Wuxi 214024, Peoples R China 5.Chinese Acad Sci, Res Ctr Precis Sensing & Control, Inst Automat, Beijing 100190, Peoples R China |
Recommended Citation GB/T 7714 | Dai, Longquan,Yuan, Mengke,Tang, Liang,et al. Interpreting and Extending the Guided Filter via Cyclic Coordinate Descent[J]. IEEE TRANSACTIONS ON IMAGE PROCESSING,2019,28(2):767-778. |
APA | Dai, Longquan,Yuan, Mengke,Tang, Liang,Xie, Yuan,Zhang, Xiaopeng,&Tang, Jinhui.(2019).Interpreting and Extending the Guided Filter via Cyclic Coordinate Descent.IEEE TRANSACTIONS ON IMAGE PROCESSING,28(2),767-778. |
MLA | Dai, Longquan,et al."Interpreting and Extending the Guided Filter via Cyclic Coordinate Descent".IEEE TRANSACTIONS ON IMAGE PROCESSING 28.2(2019):767-778. |
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