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

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

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

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

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

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