Non-linear approximation using wavelets and its application to computer tomography ウェーブレットを用いた非線形近似とコンピュータ・トモグラフィへの応用
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Bibliographic Information
- Title
-
Non-linear approximation using wavelets and its application to computer tomography
- Other Title
-
ウェーブレットを用いた非線形近似とコンピュータ・トモグラフィへの応用
- Author
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一條, 健司
- Author(Another name)
-
イチジョウ, ケンジ
- University
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東北大学
- Types of degree
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博士(情報科学)
- Grant ID
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甲第7030号
- Degree year
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1999-03-25
Note and Description
博士論文
Table of Contents
- Abstract / p1 (0004.jp2)
- Contents / p2 (0005.jp2)
- 1 Introduction / p1 (0006.jp2)
- 2 Preliminaries:Wavelets and Besov spaces / p4 (0009.jp2)
- 2.1 Wavelets / p4 (0009.jp2)
- 2.2 Besov spaces / p9 (0014.jp2)
- 3 The inverse problem with a deterministic noise / p11 (0016.jp2)
- 3.1 Elementary case / p11 (0016.jp2)
- 3.2 General case / p12 (0017.jp2)
- 4 Statistical inverse problem with a stochastic noise / p17 (0022.jp2)
- 4.1 Basic mean estimate / p17 (0022.jp2)
- 4.2 The case of white noise / p18 (0023.jp2)
- 4.3 The case of Lévy noise with bounded jumps / p19 (0024.jp2)
- 4.4 Tail distribution / p22 (0027.jp2)
- 5 Basic facts of computer tomography / p25 (0030.jp2)
- 5.1 Radon transform / p25 (0030.jp2)
- 5.2 Inversion of the Radon transform / p29 (0034.jp2)
- 6 Numerical Simulations / p35 (0040.jp2)
- 6.1 Recovery of a contaminated one dimensional signal / p36 (0041.jp2)
- 6.2 Reconstruction of the density function from the noisy projections / p42 (0047.jp2)
- 6.3 The comparison of our method with the ordinary low-pass filtering / p49 (0054.jp2)
- 7 Conclusion / p54 (0059.jp2)