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Interpreting and Extending the Guided Filter via Cyclic Coordinate Descent
Dai, Longquan1; Yuan, Mengke2,3; Tang, Liang4; Xie, Yuan5; Zhang, Xiaopeng3; Tang, Jinhui1
发表期刊IEEE TRANSACTIONS ON IMAGE PROCESSING
ISSN1057-7149
2019-02-01
卷号28期号:2页码:767-778
摘要

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.

关键词Guided filter (GF) cyclic coordinate descent (CCD) rolling filtering schemes
DOI10.1109/TIP.2018.2869720
关键词[WOS]BILATERAL FILTER ; ALGORITHMS ; GUIDANCE ; ROBUST
收录类别SCI
语种英语
资助项目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研究方向Computer Science ; Engineering
WOS类目Computer Science, Artificial Intelligence ; Engineering, Electrical & Electronic
WOS记录号WOS:000447041700006
出版者IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
引用统计
文献类型期刊论文
条目标识符http://ir.ia.ac.cn/handle/173211/23053
专题多媒体计算与图形学团队
通讯作者Tang, Jinhui
作者单位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
推荐引用方式
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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