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Welcome 
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 1   | 
Introduction to Selected Concepts 
Overview of the lectures (No voice in this lecture) 
Part I: Images as Multidimensional Signals 
Analogue (Continuous) Images 
     Images as Signals 
     Some 2D Elementary Signals  
     Harmonic 2D Signals 
2D systems – Description in the Original Domain 
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 2   | 
     Classification of 2D systems 
     2D Linear Systems 
     Physical Interpretation of the Superposition Integral 
2D Fourier Transform 
     Definition of the Forward Transform 
     Definition of the 2D Inverse Transform 
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 3   | 
     Physical Interpretation of the 2D FT 
     Basic Properties of the 2D FT 
2D Systems – Description in the Frequency Domain 
     Stochastic Images 
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 4   | 
Digital Image Representation 
     Grey-Scale Histogram 
     Reconstruction of Continuous Images from Samples 
Discrete 2D Operators 
     Discrete 2D Linear Operators 
     Separable Linear Operators 
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 5   | 
     Local Operators 
     Convolution Operators 
     Nonlinear Operators 
     Order Statistics Operators 
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 6   | 
Part III: Reconstruction of Images from Tomographic Projections 
Representation of an Image by Projection 
     Radon Transform 
Algebraic Methods of Reconstruction 
     Principle of the Iterative Solution of the Equations 
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 7   | 
Reconstruction via Frequency Domain 
     Reconstruction Based on the Slice Theorem 
Filtered Back Projection 
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 8   | 
     Steps of the FBP Reconstruction in Discrete Environment 
Reconstruction from Fan Projections 
     Geometry of Measurement 
     Conversation into Parallel Projections  
     Weighted and Filtered Back Projection 
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 9   | 
Part II: Image Enhancement  
Contrast Transforms 
     Piecewise Linear Contrast Transform 
     Histogram Equalization 
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10   | 
     Pseudo-Coloring 
Image Sharpening and Edge Enhancement 
     Difference Approximations of Derivatives in Discrete Environment 
     Approximations of Isotropic Operators 
     Sharpening Operators 
     Sharpening via Frequency Domain 
     Adaptive Sharpening 
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11 
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Noise Suppression 
     Classification of Noise  
     Suppression of Narrow-Band Noise  
     Suppression of Wideband "Grey" Noise 
     "Smart" Smoothing 
     Suppression of impulse Noise  
     Detection of False Pixels 
     Suppression of Impulse Noise by Median Filtering 
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