TV-minimization solvers, especially NESTA and TVAL3, are presented as faster and more noise-robust than L1 solvers for natural images, but the L1 comparison is biased by an oracle-based setup.
Power-efficient cameras using natural image statistics
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Review of Algorithms for Compressive Sensing of Images
TV-minimization solvers, especially NESTA and TVAL3, are presented as faster and more noise-robust than L1 solvers for natural images, but the L1 comparison is biased by an oracle-based setup.