Module 4 :Image Transformations
Image Transformations
Introduction
Two dimensional Orthogonal and Unitary transforms
Separable Unitary Transforms
Basis Images
Dimensionality of Image transforms
Properties of Unitary transforms
Example (Energy compaction and decorrelation )
Discrete Fourier Transform
Example
DFT Properties
Proof of DFT property
Relation of DFT to Fourier Transform
Effect of sampling in frequency
2-D Discrete cosine transforms
Definition(2D-DCT)
Review of 1- D DCT
Some 1-D DCT Properties
Symmetric Extension in 2-D DCT
Karhunen-Loeve Transform
The Hadamard Transform
The Haar Transform
The HAAR Expansion Revisited
Codeword Assignment
Entropy and Variable Length Codeword assignment
Huffman Coding
Waveform Coding
PCM with non-uniform quantization
Delta modulation
Differential PCM