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Idea behind the Fourier strategy
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On the Unreasonable Effectiveness of Compressive Imaging - Ben Adcock, Simon Fraser University
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- 1 Main collaborators
- 2 Compressed sensing and imaging
- 3 Impact of compressive imaging
- 4 Compressed sensing theory
- 5 Matrices satisfying the RIP
- 6 Second paradox: the inverse square law is suboptimal
- 7 Which patterns are used in practice?
- 8 The binary world
- 9 Remainder of the talk
- 10 Setup
- 11 Fourier measurements: ID case
- 12 dD case: Dyadic Isotropic Sampling (DIS)
- 13 Optimal encoder-decoder pairs
- 14 Near-optimal Fourier encoder-decoders
- 15 Remarks
- 16 Idea behind the optimal strategy
- 17 Idea behind the Fourier strategy
- 18 Four recommendations for sampling strategy design