title: Single pixel camera: An acquisition strategy based on the non-linear wavelet approximation.
abstract: Single pixel imaging opened the door to a cheaper camera architecture able to operate in a wide spectral range. Compressive sensing has been used with such an optical setup to reconstruct an image using ℓ1-minimization. To avoid this type of reconstruction, we consider an adaptive approach leading to a direct restoration of an image and for which we propose a new acquisition strategy. Our technique allows one to acquire an image in the wavelet domain with a progressive non-linear acquisition strategy. This scheme is based on the non-linear approximation of the wavelet transform which takes advantage of the transformation's sparsity. This approximation is applied in a multiresolution way and is shown to offer high compression performance on simulated data. One application of the single pixel camera concerns time-resolved acquisition to observe fluorescence lifetime images of biological structures.
authors.forename: Florian
authors.initials: F
authors.lastname: Rousset
authors.forename: Nicolas
authors.initials: N
authors.lastname: Ducros
authors.forename: Cosimo
authors.initials: C
authors.lastname: D'Andrea
authors.forename: Françoise
authors.initials: F
authors.lastname: Peyrin
mesh_terms: D000465:Algorithms; D000818:Animals; D051379:Mice; D061848:Optical Imaging; D059629:Signal-To-Noise Ratio; D058067:Wavelet Analysis