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1 | (26) |
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1.1 Introduction to Computed Tomography (CT) |
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1 | (1) |
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1.2 Parallel Beam Projection |
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1 | (8) |
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1.2.1 Discrete Realization of (1.15) |
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5 | (1) |
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1.2.2 List of Figs. 1.1 to 1.11 in Terms of the Notations Used |
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6 | (3) |
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9 | (18) |
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1.3.1 Relationship Between Parallel Beam and Fanbeam Projection |
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10 | (5) |
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1.3.2 Discrete Realization of (1.25) |
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15 | (2) |
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1.3.3 List of Figs. 1.12 to 1.25 in Terms of the Notations used |
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17 | (10) |
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2 Magnetic Resonance Imaging |
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27 | (22) |
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27 | (2) |
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2.2 Comment on the Equations (2.8)-(2.10) |
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29 | (1) |
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2.3 The Larmor Frequency and the Tip Angle α |
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29 | (6) |
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2.3.1 Disturbance to Obtain Non-Zero α Value |
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30 | (3) |
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2.3.2 Observation on (2.22) and (2.25) |
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33 | (2) |
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35 | (1) |
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2.5 Selecting the Human Slice and the Corresponding External RF Pulse |
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35 | (4) |
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2.5.1 Summary of the Section 2.5 |
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38 | (1) |
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2.6 Measurement of the Transverse Component Using the Receiver Antenna |
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39 | (2) |
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2.6.1 Observation on (2.47)-(2.50) |
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40 | (1) |
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2.6.2 Receiver to Receive the Transverse Component |
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40 | (1) |
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2.7 Sampling the MRI Image in the Frequency Domain |
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41 | (1) |
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2.8 Practical Difficulties and Remedies in MRI |
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42 | (7) |
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2.8.1 Proton-Density MRI Image Using Gradient Echo |
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43 | (1) |
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2.8.2 T2 MRI Image Using Spin-Echo and Carteisian Scanning |
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44 | (2) |
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2.8.3 T2 MRI Image Using Spin-Echo and Polar Scanning |
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46 | (1) |
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47 | (2) |
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3 Illustrations on MRI Techniques Using Matlab |
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49 | (24) |
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3.1 Illustration on the Steps Involved in Obtaining Proton-Density MRI Image |
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49 | (4) |
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3.1.1 Proton-Density MRI Imaging |
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50 | (3) |
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3.2 Illustration on the Steps Involved in Obtaining the T2 MRI Image Using Cartesian Scanning |
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53 | (10) |
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3.2.1 Note to the Fig. 3.4 |
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57 | (3) |
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3.2.2 Momentary Peak Due to Spin Echo |
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60 | (3) |
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3.3 Illustration on the Steps Involved in Obtaining the T2 MRI Image Using Polar Scanning |
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63 | (5) |
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3.3.1 Reconstructing f(x,y) from G(r, θ) |
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64 | (4) |
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3.4 Illustration on the Steps Involved in Obtaining the T1 MRI Image |
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68 | (5) |
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70 | (3) |
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4 Medical Image Processing |
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73 | (28) |
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4.1 Summary on the Various Medical Imaging Techniques |
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73 | (1) |
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74 | (8) |
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74 | (1) |
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4.2.2 Non-Linear Filtering |
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74 | (1) |
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74 | (2) |
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4.2.4 Linear Filterering and the Hankel Transformation |
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76 | (4) |
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4.2.5 Histogram Equalization |
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80 | (1) |
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4.2.6 Histogram Specification |
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81 | (1) |
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82 | (4) |
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4.3.1 Discrete Cosine Transformation (DCT) |
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82 | (3) |
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4.3.2 Using KL-Transformation |
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85 | (1) |
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4.4 Feature Extraction and Classification |
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86 | (15) |
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4.4.1 Using Discrete Wavelet Transformation |
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87 | (2) |
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4.4.2 Dimensionality Reduction Using Principal Component Analysis (PCA) |
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89 | (4) |
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4.4.3 Dimensionality Reduction Using Linear Discriminant Analysis (LDA) |
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93 | (3) |
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4.4.4 Dimensionality Reduction Using Kernel-Linear Discriminant Analysis (K-LDA) |
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96 | (5) |
| Appendix A Solving Bloch Equation with AΔνsinc(Δνt) Envelope |
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101 | (2) |
| Appendix B Projection Techniques |
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103 | (4) |
| Appendix C Hankel Transformation |
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107 | (2) |
| Appendix D List of m-Files |
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109 | (2) |
| Index |
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111 | |
Lisainfo e-raamatute kohta