Wavelets on Irregular Point Sets

3/23/99


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Table of Contents

Wavelets on Irregular Point Sets

Joint Work With

What are Wavelets?

How Do Wavelets Work?

Image Wavelet Transform

Why Irregular Points?

Second Generation Wavelets

Overview of the Talk

Subdivision & Wavelets

Subdivision & Wavelets

Subdivision in 1d

Irregular Grids in 1D

Lagrangian Subdivision

Uniform Vs. Non-uniform

Regularity Results

Regularity Analysis

Regularity Estimates

What about Wavelets?

2D Setting

Existing 2D Subdivision

Mesh Simplification

2D Subdivision

Divided Differences

Subdivision Scheme

Limit Function

Multiresolution Pyramid

Filtering

Enhancing

PPT Slide

PPT Slide

Conclusion

Author: Wim Sweldens

Email: wim@bell-labs.com

Home Page: http://cm.bell-labs.com/who/wim/

Other information:
Presented at the Royal Society discussion meeting on "Wavelets, the key to intermittend information?" February 24-25, 1999