The main achievement during the course is to focus on one particular topic, research this topic, create a plan of attack and get some tangible results. Hence, there will be three presentations from you. Presentation will be a project proposal, the second presentation will be a progress report and the third presentation will be the final project. Here is a list of possible topics:

- wavelets

starting point - Kovacevic, Vetterli, 1992:

Nonseparable multidimensional perfect reconstruction filter banks and wavelet bases for Rn - information theory

starting point -- Kuensch, Agreell, Hamprecht, 2005:

Optimal lattices for sampling - Algebraic Signal Processing Theory
- dithering

starting point -- Lau, Ulichney:

Blue-Noise Halftoning for Hexagonal Grids - tomography

starting point - Rattey, Lindgren, 1981:

Sampling the 2D Radon Transform

as well as - Horbelt, Liebling, Unser, 2002:

Discretization of the Radon Transform and of Its Inverse by Spline Convolutions - de-noising

starting point - Blu, Luisier, 2007:

http://bigwww.epfl.ch/publications/blu0702.html - integration

starting point - Kuo, Sloan, 2005:

Lifting the Curse of Dimensionality Monte-Carlo vs. curse of dimensionality - Non-uniform sampling

starting point - Arigovindan et al, 2005:

Variational Image Reconstruction from Arbitrarily Spaced Samples: A Fast Multiresolution Spline Solution

as well as - Grishin, Strohmer, 2004:

Fast multi-dimensional scattered data approximation with Neumann boundary conditions - Quasi-interpolation

starting point - Condat, Van De Ville, 2007:

Quasi-Interpolating Spline Models for Hexagonally-Sampled Data - Compressed Sensing and Sampling

- what you did and why (project title & goals)
- how you achieved it (your approach)
- literature used for this project
- your results
- what difficulties you ran into (critical evaluation)
- how you resolved them
- demo your program and its features

- your program
- your web site (or pdf) of your project report (this report should contain the same points as the presentation, but more detailed)
- your presentation

Grading criteria:

- 10% - final presentation
- 10% - quality of the writeup (structure and writing)
- 80% - implementation and results
- did you get something working?
- did you indicate the problems involved?
- how did you deal with the problems?
- how well can you answer my questions?

Last modified: April 2008 Torsten Möller / torsten AT cs DOT sfu DOT ca