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  1. NTU Theses and Dissertations Repository
  2. 理學院
  3. 數學系
請用此 Handle URI 來引用此文件: http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/38066
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dc.contributor.advisor陳宜良(I-Liang Chern)
dc.contributor.authorYu-Guo Liuen
dc.contributor.author劉于國zh_TW
dc.date.accessioned2021-06-13T15:59:43Z-
dc.date.available2009-07-30
dc.date.copyright2008-07-30
dc.date.issued2008
dc.date.submitted2008-04-30
dc.identifier.citation[1] D Ling, H. Y. Hsu, G Lin, S. H. Lee, Enhanced image-based coordinate measurement using a super-resolution method, Robotics and Computer-Integrated Manufacturing 21 (2005), pp. 579--588.
[2] A. Chambolle, An Algorithm for Total Variation Minimization and Applications, Journal of Mathematical Imaging and Vision 20(2004), pp. 89--97.
[3] F. Malgouyres, Minimizing the Total Variation Under a General Convex Constraint for Image Restoration, IEEE Trans. Image Processing, 11(2002), pp. 1450--1456.
[4] Y. Li, F. Santosa, A computational algorithm for minimizing total variation in image restoration, IEEE Trans. Image Processing, 5(1996), pp. 987--995.
[5] L. Rudin, S. Osher, and E. Fatemi, Nonlinear total variation based noise removal algorithms, Phys. D, 60 (1992), pp. 259--268.
[6] C. R. Vogel and M. E. Oman, Iterative methods for total variation denoising, SIAM J. Sci. Comput, 17 (1996), pp. 227--238.
[7] T. F. Chan, G. H. Golub, and P. Mulet, A nonlinear primal-dual method for total variationbased image restoration, SIAM J. Sci. Comput., 20 (1999), pp. 1964--1977.
[8] Q. Chang, I. L. Chern, Acceleration Methods for Total Variation-Based Image Denoising, SIAM J. Sci. Comput, 25(2003), pp. 982--994.
[9] Vogel C, Acar R, Analysis of bounded variation penalty methods for ill-posed problems. Inverse Problems 10 (1994) 1217-1229. Printed in the UK.
[10] Zbigniew Michalewicz, Genetic Algorithms + Data Structures = Evolution Programs
dc.identifier.urihttp://tdr.lib.ntu.edu.tw/jspui/handle/123456789/38066-
dc.description.abstractIn this paper we develope a new method based on the genetic algorithm to solve the total variation-based denoising problems. First, we briefly describe the genetic algorithm and some backgrounds of the total variation-based denoising problems. Second, we start to develope the genetic algorithm for the TV-based denoising problem. Finally we show some numerical results to demonstrate this method is fast.en
dc.description.provenanceMade available in DSpace on 2021-06-13T15:59:43Z (GMT). No. of bitstreams: 1
ntu-97-R94221022-1.pdf: 792628 bytes, checksum: 93c0cfceef40461dc8e4d471bb7ef976 (MD5)
Previous issue date: 2008
en
dc.description.tableofcontentsContents
1. Abstract 1
2. Introduction 2
3. Genetic Algorithm 4
4. Three Points Genetic Algorithm 10
4.1 Motivation 10
4.2 Algorithm 13
5. Numerical Results 15
6. A Genetic Algorithm for total variation denoising problem 18
7. Conclusion 27
8. Code 28
9. References 33
dc.language.isoen
dc.subject全變差zh_TW
dc.subject基因演算法zh_TW
dc.subjectTotal Variationen
dc.subjectGenetic Algorithmen
dc.title基於全變差去雜訊的基因演算法zh_TW
dc.titleGenetic Algorithm for total variation based denoising problemen
dc.typeThesis
dc.date.schoolyear96-2
dc.description.degree碩士
dc.contributor.oralexamcommittee周謀鴻(Mou-Hong Zhou),薛克民(Ke-Min Xue)
dc.subject.keyword基因演算法,全變差,zh_TW
dc.subject.keywordGenetic Algorithm,Total Variation,en
dc.relation.page33
dc.rights.note有償授權
dc.date.accepted2008-05-05
dc.contributor.author-college理學院zh_TW
dc.contributor.author-dept數學研究所zh_TW
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