![](data:image/png;base64,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)
. (2.2)
Задача ставится следующим образом: функция
![](data:image/png;base64,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)
неизвестна, но известна функция
![](data:image/png;base64,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)
, являющаяся образом
![](data:image/png;base64,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)
в пространстве Радона; требуется по функции
![](data:image/png;base64,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)
определить
![](data:image/png;base64,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)
. Другими словами решение поставленной задачи сводится к отысканию явной формулы обращения или к поиску преобразования, обратного преобразованию Радона. Впервые формула обращения была получена в статье Иоганна Радона, опубликованной в 1917 году в Трудах Саксонской академии наук. Однако эта работа была незаслуженно забыта и формула обращения была открыта заново в 1961 году.
Согласно определению радоновского образа и с учетом того, что интеграл от заданной функции вдоль прямой равен интегралу по всей плоскости произведения этой функции на
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABMAAAAYCAYAAAAYl8YPAAAAAXNSR0ICQMB9xQAAAAlwSFlzAAAOxAAADsQBlSsOGwAAABl0RVh0U29mdHdhcmUATWljcm9zb2Z0IE9mZmljZX/tNXEAAADdSURBVEjHY2hsbGSgFmYYNQyO6/M8DGUZGN4wMDD8R2Dju7H19ZIkGZbjJlvMIOOxJ62jgwdscH2spDEDw11sBuJ3EUijnPssmEEYLjWOWki0yzo60ng8ZBj2GEc3+FAlzHC5ggoRgBnoJBkG8yoiFmXfeOTVG5JkGMI1CM3gmMWRLHAaBtGEqQE5WWCLFAyDGqKNfXApRvYyQcPgNiMlUuyGYQ83LN5j+C/rllNMTjJB4UQZMyzE5QWEPJGxic8wiKtxG4RhGCzw0WMSYgn+BIs3NpEx1fLmaB2AgQFdXZRy4a68aQAAAABJRU5ErkJggg==)
- функцию, аргументом которой является левая часть уравнения (2.3), имеем [6,7]
![](data:image/png;base64,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)
. (2.3)
Интегрирование, осуществляемое по двум переменным, можно свести к интегрированию по одной переменной. Для этого введем еще одну прямоугольную систему координат
![](data:image/png;base64,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)
, повернутую относительно
![](data:image/png;base64,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)
на угол
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABMAAAAYCAYAAAAYl8YPAAAAAXNSR0ICQMB9xQAAAAlwSFlzAAAOxAAADsQBlSsOGwAAABl0RVh0U29mdHdhcmUATWljcm9zb2Z0IE9mZmljZX/tNXEAAADtSURBVEjH7ZSxDYMwEEVvABZAwtkB3Q6OC+pIgGipEA0DGDrPkI49WIUN2CERkezYxjZEoaT4DRbPd/9/gGEY4CzBBVMSoo5YAhMAvKQIbbqfYQ0l3QeAxSif8ZalBGCxgUFQX2Jmg4xJEzbVQkS7sO9qZGEtT/+CcV7FCDDbL4TO9mHWirpn9tn+mg6YDAXLPjscQIEw2p6FvAzC1Kpavwwd9Ww7oQuIc8V5vIGpTnnabU6Kc87zFG/3p3cylZKjDvqF62UrmNL24fXM13jTeHM1L8wXuS/ZQzDjo9YSdV0SrIYC6nKsff22z9EbkuiNi/x8ERQAAAAASUVORK5CYII=)
. Вспомним, что при переходе от одной из этих систем координат к другой координаты меняются следующим образом:
![](data:image/png;base64,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)
(2.4)
![](data:image/png;base64,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)
(2.5)
Сделаем в (2.3) замену переменных (2.4)
![](data:image/png;base64,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)
=
=
![](data:image/png;base64,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)
(2.6)
Для функции
![](data:image/png;base64,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)
, отличной от нуля в пределах некоторой ограниченной области, ее радоновский образ также определяется выражением (2.3), только интегрирование проводится не по всей плоскости, а задается границами данной области. Так, если
![](data:image/png;base64,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)
отлична от нуля внутри круга радиуса
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABEAAAATCAYAAAB2pebxAAAAAXNSR0ICQMB9xQAAAAlwSFlzAAAOxAAADsQBlSsOGwAAABl0RVh0U29mdHdhcmUATWljcm9zb2Z0IE9mZmljZX/tNXEAAADYSURBVDjLY2hsbGSgFDOMIEMaoo19GBgY/kOw8d3I+jxVDxmGPQwMsm888uoN8RrS0ZHGg664vj5W0sPYuFuWgeENg4zHnrSODh6choAUGzMw3AXZHFtfL4ksF2XMsBDkKlm3nGK83oEpNI5u8MEuh+oVDEPgYWActRCnF9G8gmIItnBA8WaehyEoPNC9gmIITBE2mwh5E87IcZMtxhZoqFGNGdhEGQJyoYyMzFGwK7GEFYoh2GwDGwz0XrSHbD3MK1HGsr14YwfmGhiGuQpZHG+YjBYFcAwAg3nOjV4CaZQAAAAASUVORK5CYII=)
, то вместо (2.6) имеем
![](data:image/png;base64,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)
. (2.7)
В общем случае функция, описывающая радоновский образ, обладает одним важным свойством
![](data:image/png;base64,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)
. (2.8)
Физический смысл этого свойства состоит в том, что любые пары
![](data:image/png;base64,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)
и
![](data:image/png;base64,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)
согласно (2.1) задают одну и ту же прямую.
Приведем примеры, которые иллюстрируют вычисление радоновских образов.
Пример 1.
Пусть
![](data:image/png;base64,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)
. Подставим это выражение в (2.6) и получим (см. Приложение А)
![](data:image/png;base64,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)
=
=
![](data:image/png;base64,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)
. (2.9)
Из (2.9) следует, что если функция
![](data:image/png;base64,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)
отлична от нуля в точке
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADAAAAAfCAYAAACh+E5kAAAAAXNSR0ICQMB9xQAAAAlwSFlzAAAOxAAADsQBlSsOGwAAABl0RVh0U29mdHdhcmUATWljcm9zb2Z0IE9mZmljZX/tNXEAAAG6SURBVFjD7Zc/bsIwFMbfAbgAUsLWA8DbOxqrYq5EIqYiJuSFuTJsWbgAG+coa4/BDbhDWze145jEdv5QgeThLQnY7/e97z07sNvt4JHjoZMPAAEgAASAABAAAkDbyLLVgEZwAoAvTLcz/R1ndBwDXACT410CrEm8EYmrMBLdpjjL3+F5wfmwMYDcICbrjf48QThWbdg2VKIRPa2ybFCqAl8McTQ9mM+tAKp0Sp1cAb3cdRu2CbVfxXoCzhTQuwKmP4XyPos1BhAqA5xNq4j9pyM8uOxj7YHCh9dW6r+RywDCwmZjNwZQ6vRkFztAfKGMj5WtMNn3Mkbzpi0W9232opfcU0QOBqG4ACJI3psI5uHPagvpSiUY76sg+Zw+18FXAdSt0wqAEfKaMvpSd6DoPjUnhoL3GLeyilEUffr63gkg1EXCllVNllL6JkrMCC5134rfdzoLLLB1Vi0B/Jbyp2EZnz/pB4j8sxynUiVbBRoDWJJ3WfX6lDUaTz/c9BL79IDXOYApd1nMJlSnMSih26gvkp/A5MM1pVxW/f/b559NfZK/eQXaXRv8bpmNe+Cew2bV8EUWADrGN1GykfI+xFm3AAAAAElFTkSuQmCC)
, то функция, описывающая ее образ в пространстве Радона
![](data:image/png;base64,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)
, отлична от нуля на линии
![](data:image/png;base64,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)
, (2.10)
где
![](data:image/png;base64,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)
.
Рисунок 5.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABMAAAAYCAYAAAAYl8YPAAAAAXNSR0ICQMB9xQAAAAlwSFlzAAAOxAAADsQBlSsOGwAAABl0RVh0U29mdHdhcmUATWljcm9zb2Z0IE9mZmljZX/tNXEAAADdSURBVEjHY2hsbGSgFmYYNQyO6/M8DGUZGN4wMDD8R2Dju7H19ZIkGZbjJlvMIOOxJ62jgwdscH2spDEDw11sBuJ3EUijnPssmEEYLjWOWki0yzo60ng8ZBj2GEc3+FAlzHC5ggoRgBnoJBkG8yoiFmXfeOTVG5JkGMI1CM3gmMWRLHAaBtGEqQE5WWCLFAyDGqKNfXApRvYyQcPgNiMlUuyGYQ83LN5j+C/rllNMTjJB4UQZMyzE5QWEPJGxic8wiKtxG4RhGCzw0WMSYgn+BIs3NpEx1fLmaB2AgQFdXZRy4a68aQAAAABJRU5ErkJggg==)
- функция (а) и ее радоновский образ (б)
Пример 2.
Пусть
![](data:image/png;base64,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)
. Подставляя это выражение в (2.6), получим
![](data:image/png;base64,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)
. (2.11)
Рисунок 6. Функция (а) и ее радоновский образ (б)
Область, где
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAD8AAAAgCAYAAACl36CRAAAAAXNSR0ICQMB9xQAAAAlwSFlzAAAOxAAADsQBlSsOGwAAABl0RVh0U29mdHdhcmUATWljcm9zb2Z0IE9mZmljZX/tNXEAAAKjSURBVGje7Vk7csIwENUBuAAzmDuA+pTGBXVmgKHLUDFuOICg4wx0lNyBE3AHbsAdktiObFnelVbGizOTFFsEO959u29/kjgcDoJL9is5F3J55tThkuNxM0hG4ipX+zn0nE2xSpNJFCWXzfE46At8bodaD6ciuiWpmrwEfO7xKLpACvuQnIGj5GoHgkXZNo52kLK+6R/F2x0r+IxmUoi7rahvyQMi5H2t1NALXoMQQnzCEj0gWucUQ55xRdS0C3N6XoOEeJjFz6tgKcW5+HDlNdMxprLKmLqH+SL5bZfRTTRAyAGlzcb7tGJhKan9DjmFub1hNpXOB+oNFBiyh+1eqb1sUhwziofqzdRygTdZrLEQFTVpDEVeO4qz2JXsAgC6nkH2+QeVLLoYvSygtmfx+lG8k30/Wai3VuABdmH2YnUimPIV3ev0Nh0CgS++VVG1cER4Vyj1AACxFG2w9YcZQW2kFBflAOVQ+mS/zcby1KYrQI5z1QIsVcmUL/9G8skFnpISraiPzSCIjWTwdnHwedYHHuoOz4pZQ+oCzxkk8BhQVzX3gcc6BLmnu6a3Ure8L9RiIsezU+vIYxR3UZ8CHpvMSOuxI+U0qMw5mR1xnL63znkswqQBwwKfxvLDfNeMUnD0AYeFjNTeau/L7TLPAEP0M7v320wo3qODd7WwkJZpOxGnpXNrqwYVWpE05n/H8gEtUegSQ0wz0oRngnK1jWabwWd7nX/2/2CFq1a9LWZVQTEkcIcImu27nLuDvyNXquu9wE43wa2g7cra9XIEbXxMu3b7QSaPOtKnnz5NDj3JedUZHvcpUBEU4hne/+ntk8q6WGI6ozxwgcKrUExv3AeZpEAgFyj8NyU93tVhE+ZLwHO1rZDa40q9X3Oj0of8afBfBdpTt049NKsAAAAASUVORK5CYII=)
принимает максимальные значения, представляет собой линию, которая определяется выражением (2.10).
Пример 3.
При
![](data:image/png;base64,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)
(2.12)
получаем
![](data:image/png;base64,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)
(2.13)
Рисунок 7. Функция (а) и ее радоновский образ (б)
2.2 В случае самоизлучающего объекта основной задачей ЭВТ является задача восстановления двумерного распределения источников излучения
![](data:image/png;base64,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)
. Для простоты будем считать, что область, в которой распределены источники излучения, целиком расположена в области поглощения излучения, характеризующейся функцией распределения коэффициента ослабления
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAEMAAAAoCAYAAACl+UfqAAAAAXNSR0ICQMB9xQAAAAlwSFlzAAAOxAAADsQBlSsOGwAAABl0RVh0U29mdHdhcmUATWljcm9zb2Z0IE9mZmljZX/tNXEAAAMPSURBVGje7Zq/TtwwGMA9MRSGk8oNSDHTVWK4hfNciSlE1alioVIvCsshJpoB5sq5qbfwAkitdCN7t9KtXaq+QAfegHdo64RcfMaOPzvxJSdl+BZysT///P0PaDaboU4y6SB0MBqAkYRkjBB5iCjda/KQlEZ7BKEHEibjRmBMCFogMlm06eaZTti/vF4rjEsfX+tuoSlhuqmA1G+ScXCIyeSmzbFhQvBNENNDpzDm84ud431y23SMAF0YDu4u5vMdZzDYJsSPzzchc8iso9YNYp+cy8yvjcIynRg76ls8Gp54u+R7212ET7fDXu/3MEpOaodBw8Hpy0H4eVMKLBbfXvde/BiE9LR+GGM87ZP40yZVnG+9ra94TKdgGFkVif7KCqg0KiP0yJ4lR/2rbfIBlFJZrmdrij6bFmqKvVS3G3jonr0j1jW8bqr3zw62vxjByBTEj7LAmB+KKcJg9I+SK21KYwqyA6eSler8oVLxgnsx7an2Xopw6OUllrQD0cHWgtcZVNPLlCsOkG0GgaG6UV2ZDLJciY6p/vvHtyqwRjDyjWSKimZoAmP15uTrGxVQTA8JDFn6tIYBdREbGGVWZ9ORiu4AqYbBMExcxAaGDrZJihR1gTaLYBgmLpL/3qRTLW60mpsUMAqo0GZRBFaLi9hYRuz778I4eKNLf3ALy/RhcHzif4S4HsgyVH5Y9swERt7QyUw8DIKpaQzhYajac2sYqhy9LIq4VJa7hw5G+u7/d2L6/hWf7ngrY7/Jra3YSz82zNfwPO+niatqYaS3hfEdxujPSlHzpPCzwgmYWlWH49fjD7ICXuNGZVVyJRiZcqNfpt2nTTYBB1oSUi0Mi7ijhWE7yDXpTarOHUxhWfUmubnZDHNdTLl05TR7PkKjb7YzFDHYlubrus25aiG1/PtTIK4CQlahPk+Zljl/HcNgvlCr+nFKZnXdDNTFDNRV3HAlzqfjG/PdRBHfnJhf276xQqzCCQxo+9ymWOEURl68tQ2IzmodmyPrL9rz/xk692191F+ndBA6GB0MrfwDYsBof31GjVwAAAAASUVORK5CYII=)
. Обычно при измерениях с помощью ЭВТ, также как и при ТВТ, используют круговую схему с параллельными проекциями.
Рисунок 8. Круговая геометрия измерений в ЭВТ.
В [3] показано, что для ЭВТ с постоянным коэффициентом ослабления
![](data:image/png;base64,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)
экспоненциальное преобразование Радона в декартовых координатах имеет вид
![](data:image/png;base64,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)
, (2.14)
а в полярных координатах
![](data:image/png;base64,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)
. (2.15)
Выражение (2.15) можно переписать в другом виде
![](data:image/png;base64,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)
. (2.16)
2.3 Выражения (2.3), (2.6) позволяет по функции
![](data:image/png;base64,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)
найти ее радоновский образ
![](data:image/png;base64,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)
. Существует соотношение, определяющее аналогичную связь между преобразованием Фурье этих функций. Пусть
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAGkAAAAlCAYAAABBGMctAAAAAXNSR0ICQMB9xQAAAAlwSFlzAAAOxAAADsQBlSsOGwAAABl0RVh0U29mdHdhcmUATWljcm9zb2Z0IE9mZmljZX/tNXEAAANoSURBVGje7VoxcuMwDOQD8oHMRPmDzfquulFUpL4Z25PuJlVGTR6guHNzH0iXMm+4vCB/8A/yhySSjhJFASAoySItqWARK6YWWGAB0BT7/V4sK+y1OGEhaVmjk7SV4kUI8SmEPN5l2WUIBoSIyRtJTzt5K66StzT99SMS4iOKHx59g++CKf9OCNj1lcbyT5Jmq14kHQ73FzfX8llFapbdXa7F+p/PyO2CqSBVbl9Cy5TcluRKvMnd021nkiCmc6dIuctCij4KU5YmqyhKXu8Ph4sQJa0MsugdyqhZFN4iUqPolZKUEJaSbzOQZkHSQxw9QsaHKntmzZw8QYUECnEMrVkgA8roVK3Gle0ttKKPseWjC6ZCQjxghTJEx4oFTVE7vztVvYnoNIfozvIRoVxMtXP8zVBlZnxj1bpKRQTku8oO7f95xcx4SeNzDw7gYoIMDgFnFTxAnYQCix0JZg+vosGHlHAxYU4aV+La/qFI0pVC2cd8UTtbfGWSCyZFpg9JrrIYIIJ6pgehwk2/SEUmlq4eHOCCyYxI1r5G5tX1z81WSmoxG7A65iwrmDE+pQ7CpJNGkdToGBF7Gv/DnLeq9wN7YnLdUoT/73JqG6vFAFpFA3NxotQFk+5YzBlYXS2d1JRTPRA4mVlnYXNvqlZhss2Wlepvj5O7CyYbSdhzjLguEm+d6xBfskkyixcnAsaSOg4mG0nQ/NL43HAgVz7puc5ccNPFIgkz3me35IqJIql+1iYXazao7zQdS5wmVHvI4ybbrOT1zXPnTMJkxKfkuWKiSDILM+cwlvoO1z9qj5zEHF8cp7871yQsOl0kb+jGwRUTJU+Y1BWO3iQ/0eHTInXU8OxyRGXt7mxEVPo6YvvdFZP63CQWIwk63LQ5n9taQ50el2wiA+za61pAex9SOmJC6xUgS437EnL7lyIIu/wCHqYyRgH2iYNuKHf+OPVPFn0xURnQ2hs5ZYDkqfEc6w6RvV26QdbZ3bkv2xnZIPuf4J5HSZLDKfi5L9PgoTN96HEEOiGfPEmn+mW2yCJkzhli1HD6ZXYqkjdUxJ/6117o3HDyJFEDamhrtreFdOPHGhl6SR1wgXMWJNVav34P9VI/dYFzNiRVeh/gXXDVhfa6Cz41okK7KJnXTEqKZ0fSOa7FCWewvgCutwzSx2Ux0QAAAABJRU5ErkJggg==)
- одномерное преобразование Фурье функции
![](data:image/png;base64,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)
по переменной
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAA8AAAATCAYAAABPwleqAAAAAXNSR0ICQMB9xQAAAAlwSFlzAAAOxAAADsQBlSsOGwAAABl0RVh0U29mdHdhcmUATWljcm9zb2Z0IE9mZmljZX/tNXEAAAC3SURBVDjLY2hsbGQgFzMMM81RxgwLGRgY/oOwcXSDT32eh6FHZL0dQc05brLFDAyybzzy6g0RBiH4ODV3dKTxeMgw7GFgML4bW18vCRNzlzOeBePjtRnmZJBzSfYzyH+yDAxvsDmVqABriDb2gQQYwvkkRRUk4IAGGEctJKg5z804BdmZ9fWxksYMDHdx2Y4RUOiBBAk8ApqxRREs4GTdcorxOhvkRDe3vDCEUyGpC5fG4ZiriMEA2SmfIhUFlj0AAAAASUVORK5CYII=)
, а
![](data:image/png;base64,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)
- двумерное преобразование Фурье функции
![](data:image/png;base64,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)
по переменным
![](data:image/png;base64,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)
. Согласно определению
![](data:image/png;base64,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)
, (2.17)
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAYUAAAAwCAYAAAD+U2Y6AAAAAXNSR0ICQMB9xQAAAAlwSFlzAAAOxAAADsQBlSsOGwAAABl0RVh0U29mdHdhcmUATWljcm9zb2Z0IE9mZmljZX/tNXEAAAo8SURBVHja7V2/j9VGEHaVJhRIySmchKlAuuIazkcHEQUyDkKRUuSUO4ugCERFHAWkSCmQD6XINTSpIqQUdFDwF+SK1FfTUNCkPokmkSKlSM5+Z3u9b/b3+uf7ik+Cd+/tendm55uZnV0HT58+DQAAAACgACYBAAAAACkAAAAAIAUAAAAApAAAAACAFAAAAACQAgAAAABSmBT2ouBFEAT/BeeTw2w/O5ecDw7L/58gjB8+nkofAACAFABH7KfR7cooF/9eGOrwOMnyy8VnD+PwcZTu3x57H4B8/isC5ucegPxBCkALWRzv3MnzddajZz33PL+zHsfZztj7oJBnyeUozu73O5/R/bEtuMooTJl4h5DlNNezXP8KB2ylSaFcDOeTwwcHB2dGr/QnhjEKgnd9L1zWYBfPsBWER6zC+CaFrvoYi+wPDh6cKVJjYzLAUyeFKa3joaHSv5UmhTKHHe29mJpQeS+6jwVX9VcqTBi+DcPkVbUAfaePuuqD9yrZ9gdZmGH4aiwLb8qkMLQsJ0sMAv2bJSmwG5YiRSkWwZRD5b5z7AtFaXKNbA7SF0H10ceYPPUxebdTJYUxRl1Tj65mRwrlQE+8/yrVQhmT8m8Xbj6fsmdRLIY4ip/AO5quMR4qHTgnUkDayL/+6ZBC9dvKaXPVG5f21GFktPdM5VHPpZJl6tHOkJ7lWNKGZVQ7AqPmixTqxc2MqavKlrHJcoqg9M8kUvAdVdi058Uo3LwQPWcrXSbN9FGaQ7kN5qxwHILgeCxkujCYw4fqXZFCucgZo816hM59jUyWk42aOf0zMcy+nRqb9tyZKLmYXdhMf5mLUNOLH/12Mc2/hIJ354n0QVJDH87rIn0kqhirxhwE0TsX52xque8xO0ms/unOqyxF7+JQmLbn3HEWrf189uq3P81FqMV4wtv5vSEMSJeGrKs+FkUIbsaoi0U5dAqkzz2FOu3jaNDHJkuesKZwCp/SP11S8B3l2ranDlu5xcUr+xBGtNPFfH3t0dr1/Ue9RidJcq/rHLhpHzryb4wRbUioHLWp0aa+L8t9Uzl4ftON/VtdWcdUZTWeN/XdxSJrKrtOQDyHKyk0c6u3USgy6Hw7IlxJs69ksvROYIY6MRQp+NA/ihQo+bKpHtN5UrVnMg5jT4dXvq83Pv51427+BUjBfpF0XfVk04eO/KkFsJzSaDZCW59pkELLYDN9yMioIYDTZyz73Dqqvldv0i4tWuKz02dsk0p4HMfRk8pAVc/IGyxfkcLi2eSGWrS4l8hQiOjdbr57WSRL7wbWQieGIAUf+keRAh+1twx6UelpOE+q9kzHYeR5UN7jKpBCyytUwFRxx0oKOvKvFVVxfqWclyTNbQoSRIorGhOfSinGQRNb22Czn4kOb9V6QG70tp/PBynoVgPxxFf/ljlMtReFz6p/U9/XkaX3VKaBTgwVKbjqH08KIr2odIv9XGeedNszGYdT6siUFFi2W76szS3f7avtviOFxRUUW793GbKb9qErfx1DwnottgaSTduw8qbu5WkvyvSWzFPm74Jqvkt75qLcMEUyPkhBtxqIIr5iHrJs/1w9NuYcEXWC34QUXNeajU6YkoJPW2Ovf21SiO/G34jSP5QTpponWTqJak93HNqpAxHT6JJCHcIo8mE2xOCzbZCCvvx1DYnrBiZljEV7JOyiXCzC8K3uRpsqty0iBZmXV3xmG2nqbFDqGEv2HBF1D5a5LN3XmkwnTOaLMpa+bY2t/rVJYf39xrngjTTlpGnctVNYXHu649BPHQgWjIoURJUR/D1JNuFrF22DFPTlL0qd6BpTM1JoDIDskCG7WNIsuWVSd896ktRvbEnBKW2hSM2pDBsv+/JZqT0ghSx9rzVTndAhv65sja3+tfcUzv51Ngj+psZA6Y9qnmSl16L2dMehnToQPZzetbFtVq4Xn4WB6bptaqK63FMYGymYyF9VfVS1F8fxdy7110sVT0l6T/n8xYuF8t1Los1TXs7VPkLzMiKR8df73JUUVDXm1G0DIoLnNyCpNlWy9LnWbHRCNyLqwtbY6l+7kOGDfyl9aNJchOGXzJPI8Mva0x2HU+pIFSmIqlNEua1yMOHW0WYQ/KnjARm3vb7x5pMgeC/1vlY8UjCVPzXfLNIoynfz7JLL9QlsdYXKCWFJrVWFwZWosikU/lS+yJOUEiP3XVdSkNWYi+4n4vcO+Moldo+C2mAUydJqrZ2MfT1++IMvnVCRgtUzFo5DduOadrGEof619aYgBe45TuWVbAevqf5l80Tpoqo93XEoN4D4Uij+KggZKYgOTFFXbLMsX4XFsvyfTdtrG1dfFxNFbcyBFOzkTylnJQPWG69SUkXpY/UsuvndOlTe3n6peukLH1a3y/voiI7SB6rSSFi6qvDKbGRW1ZiX0Q5j6JfvPaLHRZXKtn+rHwlZrePtzdf8HOvohC0p2NqaKqcuswku+tf09+E/7PNVFWBVKXBRYVSQdGnQNeaJH6+oPZYYdMch3LFn61rrMJyozJCRgsjzKBiQ3mVvyrbKQ0SSihDbtstx7iafilhyiHMKXd8dpduHjfypChlqo68xSIznqlHxY7wnRHjYfL3+krHi9hGW0oXsvUMnbW9vhy9Vl9G5kEL7IBKfm5alLxfPIjy3IEktiGRpvdY+j34k51mhE7ak4GIPVDbBVf8qvdnaDP7gdarRzaaEWneeqPMHfHs24zDO2/EwJQWqBpxnPWoDjReubdtlW2n6mVCoK0wKNvL3dbMmL9+lkFzzosIub0k12Ryd4tXZIlnarDWdTXCfcLEHKpvgqn9juVNKdxwci+iX7+mQArXbXUxYmlz5vn2Qph1u8QpF1dLatq265ntVTzTbyr9ZaPYlp7J3AZuQZtcviJk7KYhkabPW+iYFW3ugsgk+9G8MpGAyDo5pzRe2XnlW+44Y/toAOtQPj29k2TVRWZ5N22y4JVLYPt+p4PtWRJc+XM4S2Bpj0SZtVTZZpK2omnqpQevwRO4qkAIlS9O1JkthdB7lGNgDkU3wrX9DkYLtOFoTamOc+vYIuoaqumCOcJG/LFR3SwXo5ZpbY+joHc3kHUKKdBne0Txd+Na/oUjBZhytSKHrPNVUjONcXhg0mDHRqJ3vyisakwGeMikMLcspQqZ/s3tH8yoZUrx5zY8x7DtyHONd+1MnhTlmAYbSv5UjhTF6aS6LAK8iBEAKgG/SWDlS4E9SThF9VAEBIAUApLASpDAHL3su0Q4wLlJQHXIDIP/ZkkIB9kUeUxMgcqcAAACeSUHnut8xQXaPOQAAAEgBGAx1TXFx2KS+vtn9jXR99wEAAEgBcASbvmpyke03N7nud/TRBwAAIAXAA7I43uEv++PfHxzH2c7Y+wAAAKQAKNC63pbH6V4Ga7Cpd+jqGGxVPz76AAAApAD0ADa1U9Y0h+Fb9u4Z3+mjrvoAAACkAHhC8wKV5kVDvjeB++gDAACQAgAAAABSAAAAAEAKAAAAwGzxP1cOlHtD6H9hAAAAAElFTkSuQmCC)
. (2.18)
В трехмерном пространстве введем прямоугольную систему координат, у которой по одной оси отложены значения
![](data:image/png;base64,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)
, а по двум другим – значения
![](data:image/png;base64,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)
и
![](data:image/png;base64,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)
.
Рисунок 9. Центральное сечение двумерного преобразования Фурье