CASIA OpenIR  > 多媒体计算与图形学团队
Interpreting and Extending the Guided Filter via Cyclic Coordinate Descent
Dai, Longquan1; Yuan, Mengke2,3; Tang, Liang4; Xie, Yuan5; Zhang, Xiaopeng3; Tang, Jinhui1
Source PublicationIEEE TRANSACTIONS ON IMAGE PROCESSING
ISSN1057-7149
2019-02-01
Volume28Issue: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.

KeywordGuided filter (GF) cyclic coordinate descent (CCD) rolling filtering schemes
DOI10.1109/TIP.2018.2869720
WOS KeywordBILATERAL FILTER ; ALGORITHMS ; GUIDANCE ; ROBUST
Indexed BySCI
Language英语
Funding Project973 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 AreaComputer Science ; Engineering
WOS SubjectComputer Science, Artificial Intelligence ; Engineering, Electrical & Electronic
WOS IDWOS:000447041700006
PublisherIEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
Citation statistics
Document Type期刊论文
Identifierhttp://ir.ia.ac.cn/handle/173211/23053
Collection多媒体计算与图形学团队
Corresponding AuthorTang, Jinhui
Affiliation1.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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