W 
Welcome 
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 
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 
3 
Physical Interpretation of the 2D FT
Basic Properties of the 2D FT
2D Systems – Description in the Frequency Domain
Stochastic Images 
4 
Digital Image Representation
GreyScale Histogram
Reconstruction of Continuous Images from Samples
Discrete 2D Operators
Discrete 2D Linear Operators
Separable Linear Operators 
5 
Local Operators
Convolution Operators
Nonlinear Operators
Order Statistics Operators 
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 
7 
Reconstruction via Frequency Domain
Reconstruction Based on the Slice Theorem
Filtered Back Projection 
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 
9 
Part II: Image Enhancement
Contrast Transforms
Piecewise Linear Contrast Transform
Histogram Equalization 
10 
PseudoColoring
Image Sharpening and Edge Enhancement
Difference Approximations of Derivatives in Discrete Environment
Approximations of Isotropic Operators
Sharpening Operators
Sharpening via Frequency Domain
Adaptive Sharpening 
11

Noise Suppression
Classification of Noise
Suppression of NarrowBand 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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