Handbook of Image and Video Processing, 2nd Edition

4.2

Multiscale Image Decompositions and Wavelets

Pierre Moulin,     University of Illinois at Urbana-Champaign

1 Overview

2 Pyramid Representations

2.1 Decimation and Interpolation

2.2 Gaussian Pyramid

2.3 Laplacian Pyramid

3 Wavelet Representations

3.1 Filter Banks

3.2 Wavelet Decomposition

3.3 Discrete Wavelet Bases

3.4 Continuous Wavelet Bases

3.5 More on Wavelet Image Representations

3.6 Relation to Human Visual System

3.7 Applications

4 Other Multiscale Decompositions

4.1 Undecimated Wavelet Transform

4.2 Wavelet Packets

4.3 Geometric Wavelets

5 Conclusion

Acknowledgment

References

1 Overview

The concept of scale, or resolution of an image, is very intuitive. A person observing a scene perceives the objects in that scene at ...