GAUSS seminar presentation (include a statement of the general problems and introduction to the basic ideas)
What you need to do if you choose to do this project:
A Must Read: Terry Tao's excellent blog entry explaining one-pixel camera
Light and Fun Reading List:
Let's get technical:
Please also visit these site for more information on the topic (compressive sensing, compressive sampling, sparse sampling, sparse optimization, sparsity, dimension reduction):