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Angolstruktura (Angolstruktura)
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1 Welcome |
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2 Introduction to the mathematics of medical imaging |
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2.1 Introduction (Introduction to: Mathematics of Medical Imaging) |
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2.2 Integral Geometry and Integral Transforms |
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2.2.1 Introduction ( Introduction to: Integral geometry)) |
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2.2.2 Represenation of a Line and other linear geometrical elements |
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2.2.3 The 2D Radon transform |
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2.2.4 The sinogram |
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2.2.5 The properties of the Radon transform |
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2.2.6 The Hilbert-transform |
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2.2.7 The Digital Radon Transform |
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2.2.8 The Radon Transform in multiple dimensions |
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2.3 Analytical Reconstruction techniques |
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2.3.1 Introduction (Analyitical Reconstruction) |
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2.3.2 The Central Slice Theorem |
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2.3.3 The Filtered Backprojection |
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2.3.4 Relaization of the filtered backprojection |
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2.3.5 Multidimensional Central Slice Theorem and the Fourier Inverson Formula |
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2.3.6 Interpretation of the inverse Radon transform |
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2.3.7 Inverse Radon transfrom with Riesz potentials |
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2.3.8 Filter Design for the Filtered Backprojection |
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2.3.9 3D reconstruction |
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2.4 Algebraic Image Reconstruction |
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2.4.1 Introduction (Introduction to: Algebraic Image Reconstruction) |
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2.4.2 Descrete Base for the reconstruction |
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2.4.3 Non-statistical iterative reconstructions |
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2.4.4 Statistical image reconstruction strategies |
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2.4.4.1 Example to a Maximum Likelihood estimation |
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2.4.5 The ML-EM algorithm |
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2.4.6 The ML-EM algorithm for emission tomography |
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2.4.7 ML-EM variations: MAP-EM,OSEM |
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2.5 The DICOM standard |
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2.5.1 Abstract |
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2.5.2 Introduction (DICOM) |
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2.5.3 A simplified DICOM for beginners |
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2.5.3.1 Introduction to the digital representation of alphanumeric data |
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2.5.3.2 Introduction to the a simplified toy-DICOM file format I (Problems for the reader) |
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2.5.3.3 Introduction to the a simplified toy-DICOM file format II (Solutions of the problems) |
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2.5.3.4 Introduction to the a simplified toy-DICOM file format III |
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2.5.3.5 Introduction to the a simplified 'toy-DICOM' file format IV (Further development: the Value Representation) |
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2.5.4 A few words about the real DICOM format |
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2.5.4.1 Value representation in DICOM |
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2.5.4.2 The DICOM Identifiers and the Concept of the DICOM Study |
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2.5.4.3 The structure of a DICOM file, the DICOM tags |
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2.5.4.4 DICOM Data Coding Image Related Information |
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2.5.4.5 A few words about the DICOM services |
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2.5.5 Appendix |
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2.6 Mathematical Methods of Linear Model Based Image Processing Procedures |
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2.6.1 Introduction. |
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2.6.2 Linear Operators |
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2.6.3 Characteristic Input Functions |
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2.6.4 General Input Functions - Fourier Transformation |
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2.6.5 Laplace-Transformation |
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2.6.5.1 Analysis of linear systems in extended frequency space |
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2.6.5.2 Properties and rules of Laplace transformation |
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2.6.5.3 Laplace transformation of characteristic and any other typical functions |
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2.6.5.4 Mathematical description of the system properties functions |
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2.6.5.5 Inverse transformation method for linear invariant systems |
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2.6.5.6 Inverse transformation of the proper rational function |
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2.6.5.7 Transfer Function |
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2.6.5.8 Transfer characteristic function (Modulation Transfer Function MTF) |
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2.6.5.9 Linear shift invariant system description by the step response function |
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2.6.5.10 Relation between the step response function and weighting function of linear shift invariant system |
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2.6.6 Problems (Linear Systems) |
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2.6.7 Theory and basic laws of sampling |
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2.6.8 Planar imaging as a linear system |
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2.6.9 Appendix. |
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2.6.9.1 Theorems, Detailed explanations |
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2.6.9.1.1 Parzeval theorem |
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2.6.9.1.2 Response function in general case |
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2.6.9.1.3 Deriving of Duhamel Theorem |
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2.6.9.2 Solution of problems |
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2.6.9.2.1 S1. |
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2.6.9.2.2 S2. |
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2.6.9.2.3 S3. |
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2.6.9.2.4 S4. |
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2.6.9.2.5 S5. |
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2.6.9.2.6 S6. |
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2.6.9.2.7 S7. |
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2.6.9.2.8 S8. |
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2.6.9.2.9 S9. |
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2.6.9.2.10 S10. |
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2.6.9.2.11 S11. |
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2.7 Monte Carlo Methods (English) |
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2.7.1 Introduction (introduction to: Monte Carlo Methods) |
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2.7.2 Sampling |
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2.7.3 Sampling the free flight distance |
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2.7.4 Sampling an interaction |
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2.7.5 Detection |
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2.8 References |
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3 Nuclear Medicine for Physicists |
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3.1 Introduction to Imaging in Nuclear Medicine |
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3.1.1 Nuclear Image Acquisition |
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3.1.2 Suitability of Nuclear Medicine, Examinable Organs |
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3.1.3 Radioactive Tracing, a Short History |
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3.1.4 Collimators |
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3.1.5 Development of PET |
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3.1.6 Isotopes Used in SPECT |
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3.1.7 Physical Processes Important for Radiation Detection |
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3.2 Detectors |
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3.2.1 Scintillators |
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3.2.1.1 The Process of Scintillation, Types of Scintillators |
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3.2.1.2 Basic Properties of Scintillators |
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3.2.1.3 SPECT Scintillators |
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3.2.1.4 PET Scintillators |
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3.2.2 PMT (Photomultiplier Tube) |
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3.2.3 Semiconductor Photodetectors |
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3.3 Measurement background of position sensitive detection |
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3.3.1 Measurement technical background of γ photon position sensitive and energy selective detection |
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3.3.2 2D Imaging Based on the Anger Principle |
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3.3.3 The centroid method and the Anger camera |
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3.4 Gamma Cameras and Gamma Camera Imaging |
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3.4.1 Structure of Gamma Cameras |
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3.4.2 Techniques for Position Determination |
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3.4.3 Calibration and Correction of Images |
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3.4.4 Imaging characteristics of gamma cameras |
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3.4.5 Types of Tests |
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3.4.6 Whole-body Studies |
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3.5 SPECT Imaging |
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3.5.1 Fundaments of the 3-D Emission Imaging |
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3.5.2 Techniques of Reconstruction |
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3.5.3 Conjugate Projections |
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3.5.4 Imaging Errors |
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3.5.5 Pinhole SPECT |
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3.6 PET Imaging |
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3.6.1 The principle of PET imaging |
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3.6.2 Timing techniques |
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3.6.3 Single rate, pile-up, dead time and random rate |
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3.6.4 Effects limiting ideal imaging |
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3.6.5 Calibration of PET systems |
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3.7 PET/CT Systems |
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3.7.1 Introduction to PET-CT multi-modality imaging |
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3.7.2 Isotope Production |
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3.7.3 Examination |
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3.7.4 Hardware |
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3.7.5 Standardized Uptake Value (SUV) |
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3.7.6 PET/MRI |
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3.8 Radiation Protection in Nuclear Medicine |
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3.8.1 PET/CT - Radiation Protection |
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3.8.2 SPECT - Gamma Camera - Radiation Protection |
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3.9 References (Nuclear Medicine) |
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4 A digitális képrögzítés és képfeldolgozás alapjai |
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4.1 Digital image registration |
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4.2 Static examinations |
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4.2.1 Parathyroid gland examination (image subtraction technique) |
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4.2.2 Myocardial perfusion |
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4.3 Dynamic examinations |
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4.3.1 Renography |
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4.3.2 Measurement of left – right shunt |
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4.3.3 Cardiac exam with ECG gating |
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4.3.4 Parametric images |
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4.3.5 Functional images |
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4.3.6 Condensed images |
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4.4 Visualization of three dimensional (3D) data |
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4.4.1 General introduction |
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4.4.2 Surface rendering |
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4.4.3 Algorithms |
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4.4.4 Volume rendering |
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4.4.5 Combination of volume and surface rendering |
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4.4.6 Three-dimensional parametric images |
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4.4.7 Corrections |
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4.4.8 Transformations |
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5 Medical Imaging in Radiation Therapy |
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5.1 Radiotherapy: Past and Present |
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5.2 Radiation therapy in Hungary |
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5.3 Treatment planning in teletherapy |
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5.4 Teletherapy Equipment |
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5.4.1 X-Ray Therapy |
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5.4.2 Linear accelerator |
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5.4.3 Other types of accelerators. |
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5.4.4 Cobalt unit for teletherapy |
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5.5 Beam Modification devices in Radiotherapy |
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5.5.1 Wedge |
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5.5.2 Shilding |
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5.5.3 Multileaf collimator |
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5.6 Imaging in Radiotherapy |
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5.6.1 Patient set-up and fixation |
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5.6.2 CT Imaging for Treatment Planning |
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5.6.3 Simulation of the radiotherapy process |
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5.7 Intensity modulated radiation therapy (IMRT) |
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5.7.1 IMRT Techniques |
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5.7.2 Radiation treatment planning for IMRT |
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5.7.3 Quality assurance for IMRT |
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5.7.4 The Clinical Application of IMRT |
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5.8 Image Guided Radiation Therapy |
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5.8.1 Technical Possibilities of IGRT |
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5.8.2 Irradiation of Moving Target Volume |
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5.8.3 Systematic and Random Errors |
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5.8.4 Image Registration Procedures |
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5.8.5 Protocols for Correction |
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5.9 Quality Improvement of Patient Care in Radiotherapy |
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5.9.1 Dosimetric Control with Thermoluminescent Dosimetry (TLD) |
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5.9.2 Dosimetric Control with Diode |
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5.9.3 Portal Film Dosimetry |
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5.9.4 Electronic Portal Imaging Devices |
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5.10 Radiation Sources and Devices in Brachytherapy |
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6 Quality Assurance |
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6.1 Role of International Organisation in Quality Assuranc |
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6.2 Basic concepts of Quality |
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6.3 Quality Assurance of PET Device |
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6.3.1 Spatial Resolution |
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6.3.2 Scatter Fraction, Count Losses and Random Measurement |
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6.3.3 Sensitivity |
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6.3.4 Accuracy: Corrections for count losses and randoms |
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6.3.5 Image quality, accuracy of attenuation and scatter corrections |
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6.4 Quality Control and Quality Assurance for Teletherapy Equipment |
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6.4.1 Quality Control and Quality Assurance of linear accelerators |
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6.4.2 Checks on standard linear accelerators |
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6.4.2.1 Safety interlocks |
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6.4.2.2 Indicator lights |
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6.4.2.3 Mechanical integrity |
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6.4.2.4 Mechanical alignment checks |
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6.4.2.5 Position of light source |
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6.4.2.6 Optical field indication |
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6.4.2.7 Shadow tray |
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6.4.2.8 Couch movements |
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6.4.2.9 Radiation alignment |
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6.4.2.10 Interpretation of alignment checks |
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6.4.2.11 Flatness and symmetry |
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6.4.2.12 Radiation output measurement |
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6.4.2.13 Beam energy |
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6.4.2.14 Arc therapy |
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6.4.2.15 Selection of checks and check frequencies |
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6.4.2.16 Equipment required |
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6.4.3 Quality Assurance of Treatment Simulators |
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6.4.3.1 Appendix I. |
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6.4.3.2 Appendix II. |
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6.4.3.3 Appendix III. |
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6.5 Technical Quality Assurance and Safety of Diagnostic Radiology Equipment |
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6.5.1 Benefit, terms and first steps of technical quality assurance |
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6.5.2 Regulation of technical quality control of diagnostic radiology equipment |
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6.5.3 Levels and names of tests |
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6.5.4 Preliminaries in Hungary |
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6.5.5 Present status of technical quality control of diagnostic radiology equipment |
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6.5.6 Benefit and lessons of acceptance tests |
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6.5.7 Tests to be performed during acceptance and status testing |
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6.5.8 Testing instrumentation needed for acceptance and/or status testing |
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6.5.9 Problems to be solved and possibilities for steps forward |
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6.5.10 Physical foundations of non-invasive X-ray tube voltage measurement |
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6.5.11 The so-called periodic safety checks |
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6.5.12 Regulation of putting medical devices into circulation in the European Union |
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6.5.13 Rules of radiation protection registration of equipment in Hungary |
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6.5.14 Conformity (conformance) certification of medical devices, including X-ray equipment |
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6.5.15 International standards, relating to safety of diagnostic radiology equipment |
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7 The principles of MRI |
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7.1 Fundamentals |
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7.1.1 History |
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7.1.2 Features |
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7.1.3 In a Nutshell |
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7.2 Spin dynamics |
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7.2.1 About Resonances |
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7.2.2 Classical Description |
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7.2.3 Measurable Signal |
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7.2.4 Spin Echoes |
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7.3 Development of spatial resolution |
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7.3.1 Frequency Encoding |
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7.3.1.1 Gradient Echo |
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7.3.2 Phase Encoding |
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7.3.3 Slice Encoding |
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7.3.4 MR Spectroscopy |
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7.4 Contrast Mechanisms |
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7.5 Safety Concerns |
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8 Theoretical background of magnetic resonance |
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9 Ultrasound |
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9.1 Introduction to ultrasound |
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9.2 A-scan |
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9.3 M-mode |
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9.4 B-mode |
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9.5 Three-dimensional Ultrasound |
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9.6 Doppler Ultrasound |
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10 The fundamentals of X-ray diagnostics |
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10.1 The Fundamental Interactions between X-rays and Matter |
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10.2 X-ray Sources |
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10.2.1 Radioactive Isotopes |
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10.2.2 The X-ray Tube |
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10.3 X-ray detectors |
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10.3.1 X-ray detection with films |
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10.3.2 Fluorescent screens |
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10.3.3 X-ray detection with sctintillators |
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10.4 Elements of radiology imaging |
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10.5 Data Acquisition for Computed Tomography (CT) |
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10.6 Cone-beam CT |
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10.6.1 Abbreviations |
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10.6.2 Introduction (Cone-Beam CT) |
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10.6.3 Structure of the Cone-beam CT |
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10.6.4 Data acquisition and processing |
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10.6.5 Reconstruction |
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10.6.6 Image quality parameters |
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10.6.7 Dose of the cone-beam CT |
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10.6.8 Possible applications |
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10.6.9 The future of the cone-beam CT |
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10.6.10 References (cone-beam CT) |
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10.7 References (X-ray diagnostics) |