Compressive tomography

Compressive tomography consists of estimation of high-dimensional objects from lower dimensional measurements. We review compressive tomography using radiation fields, including geometric, wave, and statistical field models. We find coded apertures most appropriate for compressive coding with geometric models, spatial and frequency subsampling most appropriate for wave models, and temporal modulation most appropriate for statistical models. In each case, we show that compressive measurement enables snapshot 3D imaging, eliminating or reducing the need to sacrifice temporal resolution in multidimensional imaging.