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研究生:許名世
論文名稱:圓錐光束影像資料的三維重組探討
論文名稱(外文):Mathematical Performance on the 3D Image Reconstruction from Cone-beam Data
指導教授:吳純純吳純純引用關係
學位類別:碩士
校院名稱:逢甲大學
系所名稱:應用數學系
學門:數學及統計學門
學類:數學學類
論文種類:學術論文
論文出版年:2001
畢業學年度:89
語文別:中文
論文頁數:48
中文關鍵詞:濾波器逆投影圓錐光束雷頓轉換旋積逆投影法
外文關鍵詞:filterbackprojectioncone-beamradon transformconvoluted-backprojection method
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研究圓錐光束投影資料推估原始三維物體結構的重組理論。另外也研究圓錐光源曲線的重組條件。

目 錄
摘要…………………………………………………i
目錄………………………..………………………..ii
第一章 緒論………………………………………1 第二章 濾波逆投影法……………………….…...4
2.1 平行光投影…...…………………...……….…4
2.2 扇形光投影…...…………………..….……….8
2.3 濾波器的選擇…………………….……….…12
2.4 平行光投影資料的二維重組模擬………………14
第三章 圓錐光束斷層攝影的重組條件………...16
3.1 圓錐光束斷層攝影……………………...……..16
3.2 圓錐光束的重組定理…………………..…….18
3.2.1 三維Radon逆轉換…………………….18
3.2.2 中心切面定理………….……..….…….19
3.3 光源曲線的重組條件………...…....…………22
3.3.1 圓錐光束的新函數…………………….22
3.3.2 光源曲線的充分條件………….….……24
3.3.3 光源曲線的必要條件…………….….…28

參考文獻
Axellson, C. and Danielsson, P. E. (1994). Three-dimensional
reconstruction from cone-beam data in O(N3logN) time. Phys. Med.
Biol., 39, 477-491.
Deans, S. R. (1983). The Radon Transform and Some of Its Applications. Wiley, New York.
Dusaussoy, N. J. (1996). VOIR: A volumetric image reconstruction
algorithm based on Fourier techniques for inversion of the 3D
Radon transform. IEEE Trans Med. Image., 5(1), 121-131.
Feldkamp, L. A., Davis, L. C. and Kress, J. W. (1984). Practical cone
beam algorithm. J. Opt. Soc. Am. A., 6(10), 612-619.
Grangeat, P. (1991). Mathematical framework of cone beam 3D recons-
truction via the first derivative of the Radon transform. In
“ Mathematical Methods in Tomography ”(Eds. by Herman, G. H.,
Louis, A. K. and Natterer, F.). Springer-Verlag, Berlin, 66-97.
Kak, A. C. and Roberts, B. (1986). Image reconstruction from projection.
In “ Handwork of Pattern Recognition and Image Processing ” (Eds. by Young, T. Y. and Fu, K. S.). Academic Press, New York, 649-693.
Kudo, H. and Saito, T. (1990). Feasible cone beam scanning methods for exact reconstruction in 3D tomography. J. Opt. Soc. Am. A., 7(12), 2169-2183.
Marr, R. B., Chen, C. and Lauterbur, P. C. (1980). On two approaches to
3D reconstruction in NMR zeugmatography. In “ Mathematical Aspects of Computerized Tomography ” (Eds. by Herman, G. H.
and Natterer, F.). Springer-Verlag, Berlin, 225-240.
Morton, E. J., Webb, S., Bateman, J. E., Clarke, L. J. and Shelton, C. G.
(1990). Three-dimensional x-ray microtomography for medical and
biological application. Phys. Med. Biol., 35(7), 805-820.
Natterer, F. (1986). The Mathematics of Computerized Tomography.
Wiley, New York.
Ramaohandran, G. N. and Lakshiminarayanan, A. V. (1971). Three
dimensional reconstruction from radiographs and electron micrographs: application of convolution instead of Fourier transform. Proc. Nat. Acad. Sci. U.S., 68, 2236-2240.
Rizo, P., Grangeat, P., Sire, P., Lemasson, P. and Melennec, P. (1991).
Comparison of two three-dimensional x-ray cone-beam reconstruction algorithms with circular source trajectories. J. Opt.
Soc. Am. A., 8(10), 1639-1647.
Sheep, L. A. and Logan, B. F. (1974). The Fourier reconstruction of a head section. IEEE Trans. Nucl. Sci., 21-43.
Smith, B. D. (1985). Imaging reconstruction from cone-beam reconstruc-
tion: necessary and sufficient condition and reconstruction methods.
IEEE Trans. Med. Image., MI-4, 14 -25.
Smith, B. D. (1990). Cone-beam tomography: recent advances and a
tutorial review. Opl. Eng., 29(5), 524-534.
Tuy, H. K. (1983). An inversion formula for cone-beam reconstruction.
SIAM J. Appl. Math., 43(3), 546-552.
Wang, G., Lin, T. H., Cheng, P. H.and Shinozaki, D. M. (1993). A general
cone-beam reconstruction algorithm. IEEE Trans. Med. Image., 12(3),
486-496.
吳成柯, 戴善榮和 程湘君. (1996). 數位影像處理, 儒林圖書有限公司, 台北市.

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