Главная    Ex Libris    Книги    Журналы    Статьи    Серии    Каталог    Wanted    Загрузка    ХудЛит    Справка    Поиск по индексам    Поиск    Форум   
blank
Авторизация

       
blank
Поиск по указателям

blank
blank
blank
Красота
blank
Natterer F., Wubbeling F. — Mathematical methods in image reconstruction
Natterer F., Wubbeling F. — Mathematical methods in image reconstruction



Обсудите книгу на научном форуме



Нашли опечатку?
Выделите ее мышкой и нажмите Ctrl+Enter


Название: Mathematical methods in image reconstruction

Авторы: Natterer F., Wubbeling F.

Аннотация:

Since the advent of computerized tomography in radiology, many imaging techniques have been introduced in medicine, science, and technology. This book describes the state of the art of the mathematical theory and numerical analysis of imaging. The authors survey and provide a unified view of imaging techniques, provide the necessary mathematical background and common framework, and give a detailed analysis of the numerical algorithms. This book not only reflects the theoretical progress and the growth of the field in the last 10 years but also serves as an excellent reference. It will provide readers with a superior understanding of the mathematical principles behind imaging and will enable them to write state-of-the-art software as a result.


Язык: en

Рубрика: Computer science/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2001

Количество страниц: 216

Добавлена в каталог: 17.11.2013

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
blank
Предметный указатель
$\kappa$-operator      34
Abel integral equation      5 32
Aben      58
Abramowitz      6 7 16
Absorption coefficient      161
Acoustic pyrometry      159
Adjoint differentiation      137
Adjoint fields      137
Aguilar      27
Ahn      54
Albedo operator      162
Algebraic reconstruction technique      see "ART"
Aliasing      70
Andersson      35 55
Anikonov      163
Antyufeev      163
Arridge      163 164 168 176
Arsenin      63
ART      110 111 124 137
ART, nonlinear      161
ART, optical tomography      169
ART, speed of convergence      115
Artifact      71 86 89
Attenuated radon transform      28 99
Attenuated ray transform      27
Attenuation      41 152
Attenuation coefficient      161
Axel      108
B-scan      178
Backprojection operator      10 18 35 60 84
Backpropagation      183 186
Backscatter      178
Bailey      153
Band pass      49
Band-limited      8 66 70 72
Bandwidth      66 67
Barrett      134 162
Barycenter      139
Bayesian estimate      125
Beck      41 159
Bellini      153
Bender      124
Bertero      6 159
Bessel function      7 73 80 159
Besson      93
Beylkin      36 60 62 80
Biedenstein      178
blobs      118
Bloch equation      51
Boccacci      6
Boman      153
Bondarenko      163
Born approximation      46 47 61 180
Borup      181
Bracewell      62 82
Brandt      95
Braun      36 58
Briggs      8
Brody      125
Bronnikov      154
Brouw      102
Budinger      41
Buonocore      125
Calderon      170
Calderon's method      170 177
Caponnetto      159
Cary      134
CASE      162 166
Censor      112 124 153
Central Slice Theorem      10 48
Chang      82 152 153
Chapman      134
Charlier      178
Chavent      187
Chebyshev polynomials      6 14 147
Checkerboard effect      122
Chen      83 133
Cheney      176 178
Cheung      102
Chirp-z      8 102 108
Cho      54
Choulli      163
Circular harmonic algorithms      134
Clack      130 132 133
Colsher      21
Colton      185
Computer vision      152
Cone beam      23 43 93 131 148 153
Conical tilt problem      150
Consistency conditions      153
Convolution      3
Cormack      15 36 62 75
Cormack's first inversion formula      15
Cormack's inversion formula      134 145 146
Cormack's second inversion formula      15
Cosine filter      71 82 89 98
Courant      49 61
Cross-borehole tomography      59
Crowet      179
Crowther      62 139
Curved manifolds      31
Cutoff      49
Dart      125
Dartmann      151
Data completion      147
Dautray      162
Davis      128
Davison      17 145
de Roeck      187
De Sampaio      137
Deans      2
Debye's asymptotic relation      7 73 85 88 134
Defrise      132 133 149 150
Degree of ill-posedness      65
Dempster      119
Denisjuk      147
Derichs      159
DeRosier      62 139
Desbat      78 159
Devaney      48 49
Dierkes      176
Dietz      131
Diffraction tomography      46 108
Diffusion approximation      164 166
Diffusion coefficient      166
Diffusion model      165
Diffusion-backdiffiusion      174
Dines      59
Dirac $\delta$ function      4 9 81 96
Direct algebraic algorithms      125
Dirichlet-to-Neuman map      167
Discrete backprojection      96
Discrete Fourier Transform      8
Discrete tomography      151
Doppler tomography      57
Dorn      172—174
Druckmueller      95
Dual field method      137
Dutt      80
Edholm      108
Electron microscopy      152
Electron tomography      54 150
em      46 110 118 119 122
EM, speed of convergence      122
Emission tomography      44 45 152 162
Essentially band-limited      66
Euler angles      140
Expectation maximization      see "EM"
Exponential radon transform      27 99
Exterior problem      144 146 147
Falconer      151
Fan beam      42 43 75 90 93
Fan beam, circular harmonic reconstruction      136
Faridani      78 87 157
Fast backprojection      95
Fast Fourier Transform      see "FFT"
Fawcett      35
FDK approximate formula      93 128
Feig      31 57
Feig — Greenleaf transform      30
Feldkamp      128
Feshbach      37 49
Few data      159
FFT      8
FFT, nonequispaced      78 80 101 109
Fick's law      166
Filtered backprojection      10 28 56 81 86 93 129
Filtered backprojection, complexity      85
Filtered backprojection, fan beam      92
Filtered backprojection, few data      159
Filtered backprojection, point spread function      96
Filtered backprojection, ray transform      133
Finch      25 147
Fink      182 186
Fixed-block ART      112
Flohr      105
Fourier analysis      3
Fourier reconstruction      54 100 101 108
Fourier transform      3 4 10
Fourmont      79 80 102
Frank      55 62 151 176
Frequency domain ultrasound tomography      179
Funk      33
Funk — Hecke theorem      7 14
Gardner      151
Gauthier      187
Gegenbauer polynomial      6 14 16 114
Gel'fand      9 25 139 141 143
General manifolds      36
Generalized backprojection      126
Generalized inverse      5 63
Geometric method      139
Gerbrandes      152
Gindikin      15 34
Goetz      95
Goldin      59
Goncharov      25 139 141 143
Gordon      124
Gorenflo      5
Gradshteyn      29 49 72
Graev      9
Gram matrix      126
Grangeat      23
Grangeat's formula      23 24
Grangeat's formula, filtered backprojection      131
Grangeat's method      129 130
Green      123
Green's formula      170
Green's function      169
Greenleaf      31
Gridding method      102 104 109
Grinberg      168 170
Gritzmann      152
Groetsch      5
Gruenbaum      57
Gullberg      130 161
Gutman      185
gyromagnetic ratio      51
Haar measure      38
Hamaker      23 114
Hanke      112
Hankel function      47 180
Hankel inversion formula      14
Hankel transform      14 35
Hansen      134
Harmonic polynomial      71
Hauck      36 58
Hawkins      134
Hebden      164
Helgason      9 31 36
Helical scanning      43 129
Hellsten      55
Helmholtz decomposition      37
Helmholtz equation      180
Henson      8
Henyey — Greenstein      164
Herman      2 43 82 108 116 124
Hertle      155
Herzog      154
Higgins      14
hilbert      49 61
Hilbert transform      5 11 12 133 155
Hildreth's algorithm      124
Hinshaw      51
Homogeneity relation      95
Homogeneous polynomial      19
Hoogenraad      169
Horn      152
Hounsfield      62
Howard      159
Hudson      122
Hutton      153
Ideal low pass      82
Ill-posed      2 63
Impedance tomography      176
Incomplete data      144 145 157
Initial value technique      181
Integral geometry      9
interlaced scanning      74 75 87
Invariance      26 35
Irrotational      37 39
Isaacson      176
Iusem      119
Jacobi polynomials      16
Jensen's inequality      119 120
Jerry      65
john      25
John's differential equation      25 148
Johnson      179
Jones      123
Joseph      77
Kaczmarz      110
Kaczmarz method      110 122 137 172 177 180 182 185
Kaiser      31
Kak      2 48 97
Kaltenbach      164
Kaschke      164
Katsevich      158 159
Kaufman      119
Kaveh      102
Keinert      82
Kershaw      15
Kim      54
Kinahan      148
Kirchhoff's formula      61
Kleinman      185
Klibanov      176 185
Klug      62 139
Knightly      185
Kovtanyuk      163
Kress      128
Kuchment      27 157
Kudo      132
Kuhn — Tucker conditions      118 121
Kullback — Leiber distance      119
Kunyansky      100
Lagrangian multipliers      124
Laird      119
Lakshminarayanan      82
Lancaster      157
1 2 3
blank
Реклама
blank
blank
HR
@Mail.ru
       © Электронная библиотека попечительского совета мехмата МГУ, 2004-2024
Электронная библиотека мехмата МГУ | Valid HTML 4.01! | Valid CSS! О проекте