CHAPTER 13 Inverse Problems

Recovering high-resolution and high-quality signals from partial and noisy measurements is the dream behind inverse problems. It is present in most signal processing, from medical imaging to analog and digital conversions, from seismic exploration to high-definition video display. Measurements are modeled with a linear operator applied to the input signal, but this operator is typically not invertible. Computing a precise signal estimation is thus not possible without strong a priori information on the signal.

The input data belong to a space of limited dimension that defines the measurement resolution. Estimating the signal at this resolution is already challenging because some signal components are attenuated and ...

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