Schedule
Week 1 (at Holmes Hall [map])
Introduction to the REU program and project topics, administrative formalities, software tutorials and project selection. [Detailed Week 1 Schedule]
Week 2
You will investigate jump discontinuities and their relation to Fourier series coefficients. [Detailed Week 2 Schedule]
Week 3
Edge Detection from Fourier Data and Edge-Augmented Fourier Reconstructions. [Detailed Week 3 Schedule]
Week 4
Analytical error bounds for Edge-Augmented Fourier Sums and edge detection using Concentration Kernels/Prony's Method. [Detailed Week 4 Schedule]
Week 5
Empirical validation and verification of error bounds and edge detection methods; Two-dimensional Fourier sums. [Detailed Week 5 Schedule]
Week 6
Draft report writeup - 1D problem; 2D Fourier partial sums [Detailed Week 6 Schedule]
Week 7
Revisions to the report writeup - 1D problem; More 2D Fourier partial sums [Detailed Week 7 Schedule]
Week 8
Wrap up and final presentation at the SUMMR16 undergraduate research conference [Detailed Schedule]