1. My Research in a Nut-Shell Michael Elad The Computer Science Department The Technion – Israel Institute of technology Haifa 32000, Israel Meeting with Fujitsu CS Department March 17 th, 2009

2. Michael Elad The Computer-Science Department The Technion 2 Applied Mathematics Signal Processing New Emerging Image Models Wavelet Theory Signal Transforms Multi-Scale Analysis Approximation Theory Linear Algebra Optimization Theory Denoising Compression Inpainting Blind Source Separation Demosaicing Super- Resolution Sparse and Redundant Representation Model

3. Michael Elad The Computer-Science Department The Technion 3 Original Noisy (12.77dB) Result (29.87dB) Denoising (Color) [Mairal, Elad & Sapiro, (‘07)]

4. Michael Elad The Computer-Science Department The Technion 4 Result Original 80% missing Inpainting [Mairal, Elad & Sapiro, (‘07)]

5. Michael Elad The Computer-Science Department The Technion 5 Original Noisy (σ=25) Denoised Original Noisy (σ=50) Denoised Video Denoising [Protter & Elad (‘07)]

6. Michael Elad The Computer-Science Department The Technion 6 Results for 550 Bytes per each file 15.81 14.67 15.30 13.89 12.41 12.57 6.60 5.49 6.36 Facial Image Compression [Brytt and Elad (`08)] Original JPEG JPEG-2000 Ours

7. Michael Elad The Computer-Science Department The Technion 7 Results for 400 Bytes per each file 18.62 16.12 16.81 7.61 6.31 7.20 ? ? ? Facial Image Compression [Brytt and Elad (`08)] Original JPEG JPEG-2000 Ours

8. Michael Elad The Computer-Science Department The Technion 8 Video Super-Resolution [Protter & Elad (‘08)] Lanczos Our Result Input Sequence (30 Frames) Original Sequence (Ground Truth)

9. Michael Elad The Computer-Science Department The Technion 9 Video Super-Resolution [Protter & Elad (‘08)] Lanczos Our Result Input Sequence (30 Frames) Original Sequence (Ground Truth)