International audienceSingle pixel imaging opened the door to a cheaper camera architecture able to operate in a wide spectral range. Such an optical setup has been used with compressed sensing to reconstruct an image via l1-minimization ruling out real time applications. In order to have a direct restoration of the image, we consider an adaptive approach for which we propose a new acquisition strategy. Our method progressively acquires an image in the wavelet domain by predicting the significant coefficients. For this, we base our technique on the non-linear approximation of the wavelet transform taking advantage of the transformation’s sparsity. This new strategy is shown to offer high performance on simulated and real data that we compar...