We present a method for the recovery of compressively sensed acoustic fieldsusing patterned, instead of point-by-point, detection. From a limited number ofsuch compressed measurements, we propose to reconstruct the field on the sensorplane in each time step independently assuming its sparsity in a Curveletframe. A modification of the Curvelet frame is proposed to account for thesmoothing effects of data acquisition and motivated by a frequency domain modelfor photoacoustic tomography. An ADMM type algorithm, SALSA, is used to recoverthe pointwise data in each individual time step from the patternedmeasurements. For photoacoustic applications, the photoacoustic image of theinitial pressure is reconstructed using time reversal in ${\bf k}$-WaveToolbox.
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