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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/123456789/29469
完整後設資料紀錄
DC 欄位值語言
dc.contributor.advisor薛克民(Keh-Ming Shyue)
dc.contributor.authorPao-Tung Linen
dc.contributor.author林保同zh_TW
dc.date.accessioned2021-06-13T01:07:54Z-
dc.date.available2007-07-26
dc.date.copyright2007-07-26
dc.date.issued2007
dc.date.submitted2007-07-23
dc.identifier.citation[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.
dc.identifier.urihttp://tdr.lib.ntu.edu.tw/jspui/handle/123456789/29469-
dc.description.abstractImage 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.provenanceMade available in DSpace on 2021-06-13T01:07:54Z (GMT). No. of bitstreams: 1
ntu-96-R94221014-1.pdf: 638428 bytes, checksum: 9a83e613766c33f2f5623df0dc2584eb (MD5)
Previous issue date: 2007
en
dc.description.tableofcontents1 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
dc.language.isoen
dc.title影像註冊之數值方法zh_TW
dc.titleNumerical Methods for Image Registrationen
dc.typeThesis
dc.date.schoolyear95-2
dc.description.degree碩士
dc.contributor.oralexamcommittee張康(Kang C. Jea),黃聰明(Tsung -Min Hwang)
dc.subject.keyword影像註冊,擴散註冊法,曲度註冊法,Euler-Lagrange方程式,疊加性分離法,離散餘弦轉換,zh_TW
dc.subject.keywordImage registration,diffusion registration,curvature registration,Euler-Lagrange equation,additive operator splitting,discrete cosine transformations,en
dc.relation.page49
dc.rights.note有償授權
dc.date.accepted2007-07-23
dc.contributor.author-college理學院zh_TW
dc.contributor.author-dept數學研究所zh_TW
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