Optimal stopping time formulation of adaptive image filtering

被引:17
作者
Dolcetta, IC
Ferretti, R
机构
[1] Univ Rome La Sapienza, Dipartimento Matemat, I-00185 Rome, Italy
[2] Univ Roma Tor Vergata, Dipartimento Matemat, I-00133 Rome, Italy
关键词
image filtering; scale choice; optimal stopping time;
D O I
10.1007/s00245-001-0006-x
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper presents an approach to image filtering based on an optimal stopping time problem for the evolution equation describing the filtering kernel. This approach allows us to obtain easily an adaptivity of the filter with respect to the noise level, Well-posedness of the problem and convergence of fully discrete approximations are proved and numerical examples are presented and discussed.
引用
收藏
页码:245 / 258
页数:14
相关论文
共 50 条
[41]   Structured light 3D depth map enhancement and gesture recognition using image content adaptive filtering [J].
Ramachandra, Vikas ;
Nash, James ;
Atanassov, Kalin ;
Goma, Sergio .
COMPUTATIONAL IMAGING XII, 2014, 9020
[42]   Collaborative filtering model for enhancing fingerprint image [J].
Bian, Weixin ;
Ding, Shifei ;
Jia, Weikuan .
IET IMAGE PROCESSING, 2018, 12 (01) :149-157
[43]   The impact of parallel programming on faster image filtering [J].
Ksiazek, Kamil ;
Marszalek, Zbigniew ;
Capizzi, Giacomo ;
Napoli, Christian ;
Polap, Dawid ;
Wozniak, Marcin .
PROCEEDINGS OF THE 2018 FEDERATED CONFERENCE ON COMPUTER SCIENCE AND INFORMATION SYSTEMS (FEDCSIS), 2018, :545-550
[44]   Hashed Nonlocal Means for Rapid Image Filtering [J].
Dowson, Nicholas ;
Salvado, Olivier .
IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE, 2011, 33 (03) :485-499
[45]   Application of stochastic resonance in digital image filtering [J].
Zhang, Yuxin ;
Liu, Yu ;
Duan, Huida .
SUSTAINABLE DEVELOPMENT OF NATURAL RESOURCES, PTS 1-3, 2013, 616-618 :2072-2075
[46]   Image filtering using morphological thickness map [J].
Brianskiy, Stanislav ;
Vishnyakov, Boris ;
Gorbatsevich, Vladimir ;
Vizilter, Yury .
AUTOMATED VISUAL INSPECTION AND MACHINE VISION III, 2019, 11061
[47]   Image compression improvement by pre-filtering [J].
Hadar, O ;
Stern, A .
APPLICATIONS OF DIGITAL IMAGE PROCESSING XXI, 1998, 3460 :895-905
[48]   Visual image filtering at the level of cortical input [J].
Bulatov, A ;
Bertulis, A .
INFORMATICA, 2004, 15 (04) :443-454
[49]   IMAGE FILTERING: POTENTIAL EFFICIENCY AND CURRENT PROBLEMS [J].
Lukin, Vladimir ;
Abramov, Sergey ;
Ponomarenko, Nikolay ;
Egiazarian, Karen ;
Astola, Jaakko .
2011 IEEE INTERNATIONAL CONFERENCE ON ACOUSTICS, SPEECH, AND SIGNAL PROCESSING, 2011, :1433-1436
[50]   An optimal stopping problem in the stochastic Gilpin-Ayala population model [J].
Ai, Xiaohui ;
Sun, Yang .
ADVANCES IN DIFFERENCE EQUATIONS, 2012,