13. Wavelets in Computer Graphics
Full Day / Intermediate
This course is designed to introduce computer graphics practitioners to the many applications of wavelets: multi-resolution curve and surface modeling, image compression and processing, radiosity and radiance computations, solution of PDEs, and constrained optimization problems. It covers both wavelet fundamentals and application-driven algorithms, which can be put to immediate use by the participants.
Who Should Attend
Practitioners (students, researchers, implementors) in the field of computer graphics who want to come up to speed rapidly on this important new set of tools, as well as people already familiar with wavelets who want to find out about the current state of the art.
Organizers
Peter Schröder
California Institute of Technology
Wim Sweldens
AT&T Bell Laboratories
Lecturers
David Salesin
University of Washington
Michael Cohen
Microsoft Research
Tony DeRose
Pixar
Schedule
8:30 am: Introductory Material - Peter Schröder and Wim Sweldens
The basic idea behind wavelets: exploiting coherence
Multiresolution analysis: looking at the world at different
resolutions
A simple example: the Haar transform
Building wavelets: the lifting scheme
The fast wavelet transform
Applications: image compression, image processing
(blurring, sharpening, denoising, edge finding)
Classical wavelet construction: filter banks, quadrature mirror filters
How to custom design wavelets: boundaries, irregular samples,
weighted approximation, surfaces
Mathematical background: Function spaces, bases, and projections
12 noon: Break
1:30 pm: Applications - David Salesin, Tony DeRose, Peter
Schröder, Wim Sweldens, Michael Cohen
David Salesin: Multiresolution curve editing, paint
systems, and image query
Tony DeRose: Multiresolution surfaces for compression,
display, and editing
Peter Schröder: Fast wavelet based solvers for
radiosity and radiance
Wim Sweldens: Functions defined on surfaces: efficient
representation and computation
Michael Cohen: Variational surface modeling for
interactive design; hierarchical space-time constraints for
animation
All: Wrap up: where to find resources? research
directions, future outlook
Course Notes
Updated notes for this course exist at http://csvax.cs.caltech.edu/~ps/waveletcourse/.
| 
