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
来源：
APPLIED MATHEMATICS AND OPTIMIZATION | 2001年 / 43卷 / 03期
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
[31]   Image filtering using morphological filter [J].
Wang Guangyan ;
Wang Xia ;
Zhao Xiaoqun .
PROCEEDINGS OF THE INTERNATIONAL CONFERENCE INFORMATION COMPUTING AND AUTOMATION, VOLS 1-3, 2008, :1344-+
[32]   Image filtering via generalized scale [J].
Souza, Andre ;
Udupa, Jayaram K. ;
Madabhushi, Anant .
MEDICAL IMAGE ANALYSIS, 2008, 12 (02) :87-98
[33]   Efficiency analysis of color image filtering [J].
Dmitriy V Fevralev ;
Nikolay N Ponomarenko ;
Vladimir V Lukin ;
Sergey K Abramov ;
Karen O Egiazarian ;
Jaakko T Astola .
EURASIP Journal on Advances in Signal Processing, 2011
[34]   Complex diffusion processes for image filtering [J].
Gilboa, G ;
Zeevi, YY ;
Sochen, NA .
SCALE-SPACE AND MORPHOLOGY IN COMPUTER VISION, PROCEEDINGS, 2001, 2106 :299-307
[35]   A novel similarity metric for image filtering [J].
Remya, R. ;
Nirmala, M. .
OPTIK, 2022, 271
[36]   Quantum Image Filtering in the Frequency Domain [J].
Caraiman, Simona ;
Manta, Vasile I. .
ADVANCES IN ELECTRICAL AND COMPUTER ENGINEERING, 2013, 13 (03) :77-84
[37]   Quantum Image Filtering in the Spatial Domain [J].
Suzhen Yuan ;
Xuefeng Mao ;
Jing Zhou ;
Xiaofa Wang .
International Journal of Theoretical Physics, 2017, 56 :2495-2511
[38]   Quantum Image Filtering in the Spatial Domain [J].
Yuan, Suzhen ;
Mao, Xuefeng ;
Zhou, Jing ;
Wang, Xiaofa .
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2017, 56 (08) :2495-2511
[39]   A note on Yoshida's optimal stopping model for option pricing [J].
Terán, P .
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2006, 170 (02) :672-676
[40]   Development of complete image processing system including image filtering, image compression & image security [J].
Shelke S.K. ;
Sinha S.K. ;
Patel G.S. .
Materials Today: Proceedings, 2023, 80 :2167-2171
12345