DC 欄位 | 值 | 語言 |
dc.contributor | 薛克民 | en |
dc.contributor | 臺灣大學:數學研究所 | zh_TW |
dc.contributor.author | 林保同 | zh |
dc.contributor.author | Lin, Pao-Tung | en |
dc.creator | 林保同 | zh |
dc.creator | Lin, Pao-Tung | en |
dc.date | 2007 | en |
dc.date.accessioned | 2007-11-28T02:19:56Z | - |
dc.date.accessioned | 2018-06-28T09:08:09Z | - |
dc.date.available | 2007-11-28T02:19:56Z | - |
dc.date.available | 2018-06-28T09:08:09Z | - |
dc.date.issued | 2007 | - |
dc.identifier | en-US | en |
dc.identifier.uri | http://ntur.lib.ntu.edu.tw//handle/246246/59446 | - |
dc.description.abstract | Image registration, i.e. the way to find a suitable transformation so that an image becomes similar to another one, is one of the fundamental tasks in many image processing problems. Our goal in this thesis is to study two different numerical image registration approaches, namely, the diffusion and curvature registrations, and show results obtained using each of these methods for some sample problems. | en |
dc.description.tableofcontents | 1 Introduction 7
1.1 Problem formulation . . . . . . . . . . . . . . . 7
1.2 Thesis Outline . . . . . . . . . .. . . . . . . . . 9
2 The Diffusion Registration 11
2.1 Mathematical Model . . . . . . . . . . . . . . . . 11
2.2 Numerical Method . . . . . . . . . . . . . . . . . 12
2.3 Numerical Examples . . . . . . . . . . . . . . . . 15
3 The Curvature Registration 29
3.1 Mathematical Model . . . . . . . . . . . . . . . . 29
3.2 Numerical Method . . . . . . . . . . . . . . . . 30
3.3 Numerical Examples . . . . . . . . . . . . . . . . 32
4 Conclusion 47 | en |
dc.format.extent | 638428 bytes | - |
dc.format.mimetype | application/pdf | - |
dc.language | en-US | en |
dc.language.iso | en_US | - |
dc.subject | 影像註冊 | en |
dc.subject | 擴散註冊法 | en |
dc.subject | 曲度註冊法 | en |
dc.subject | Euler-Lagrange方程式 | en |
dc.subject | 疊加性分離法 | en |
dc.subject | 離散餘弦轉換 | en |
dc.subject | Image registration | en |
dc.subject | diffusion registration | en |
dc.subject | curvature registration | en |
dc.subject | Euler-Lagrange equation | en |
dc.subject | additive operator splitting | en |
dc.subject | discrete cosine transformations | en |
dc.title | 影像註冊之數值方法 | zh |
dc.title | Numerical Methods for Image Registration | en |
dc.type | thesis | en |
dc.identifier.uri.fulltext | http://ntur.lib.ntu.edu.tw/bitstream/246246/59446/1/ntu-96-R94221014-1.pdf | - |
dc.relation.reference | [1] Y. Amit. A nonlinear variational problem for image matching. SIAM, J. Sci.
Comput., 15:207–224, 1994.
[2] J. W. Demmel. Applied Numerical Linear Algebra. SIAM, Philadelphia, 1997.
[3] B. Fischer and J. Modersitzki. A unified approach to fast image registration and
a new curvature based registration technique. Linear Algebra and its Applications,
380:107–124, 2004.
[4] F. B. Hildebrand. Advanced Calculus for Applications. Englewood Cliffs, N.J. :
Prentice-Hall, 1976.
[5] B. K.P. Horn and B. G. Schunck. Determining optical flow. Artificial Intelligence,
17:185–203, 1981.
[6] B. K.P. Horn and B. G. Schunck. Determining optical flow. Numerical Linear
Algebra With Applications, 13:399–417, 2006.
[7] J.Modersitzki. Numerical Methods for Image Registration. Oxford University Press,
Oxford, 2004.
[8] P. N. Swarztraceber. Fast poisson solvers in studies in Numerical Analysis (G. H.
Golub, ed.). MAA, Washington D.C., 1984. | en |
item.fulltext | with fulltext | - |
item.cerifentitytype | Publications | - |
item.openairetype | thesis | - |
item.languageiso639-1 | en_US | - |
item.openairecristype | http://purl.org/coar/resource_type/c_46ec | - |
item.grantfulltext | open | - |
顯示於: | 數學系
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