Basis Images and The Wavelet Transform - University of California, San ...

Basis Images and The Wavelet Transform

Image Processing CSE 166

Lecture 13

Announcements

? Assignment 4 will be released today

? Due May 22, 11:59 PM

? Reading

? Chapter 6: Wavelet and Other Image Transforms

? Sections 6.5 and 6.10 ? (Sections 6.6-6.9 for details of specific transforms)

CSE 166, Spring 2019

2

Matrix-based transforms

Forward transform Inverse transform where

CSE 166, Spring 2019

3

Matrix-based transforms using orthonormal basis vectors

? In matrix form

CSE 166, Spring 2019

4

Matrix-based transform

Example: 8-point DFT of f(x) = sin(2x)

real part + imaginary part

CSE 166, Spring 2019

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