1. Haar Transform and Walsh Transform The Chinese University of Hong Kong
Math 3360: Mathematical Imaging
Lecture 5:
Haar Transform and Walsh Transform
Prof. Ronald Lok Ming Lui Department of Mathematics,
The Chinese University of Hong Kong

2. Recap: SVD For details, please refer to Supplementary note 2! SVD
An image can be decomposed as:
For details, please refer to Supplementary note 2!
Eigen-image

3. Haar transform Definition of Haar functions:
For details, please refer to Supplementary note 3
Definition of Haar functions:

4. Haar transform Definition of Haar transforms:
For details, please refer to Supplementary note 3
Definition of Haar transforms:

5. Walsh transform Definition of Walsh functions:
For details, please refer to Supplementary note 3
Definition of Walsh functions:

6. Walsh transform Definition of Walsh transforms:
For details, please refer to Supplementary note 3
Definition of Walsh transforms: