A light field microscope may record a raw light field video of a sample. The raw video recording may be decomposed into a non-negative low-rank component and a non-negative sparse component. The low-rank component may correspond to a static portion of the sample, and the sparse component may correspond to a dynamically changing portion of the sample. Volume reconstruction may be performed on the sparse component to generate a three-dimensional video of the sample, with improved spatial resolution. In some cases, the decomposition is calculated by an alternating direction method of multipliers algorithm, with the non-negativity of the sparse component and low-rank component enforced after each iteration. In some cases, the volume reconstruction is calculated by Richardson-Lucy iteration with regularization. The sample may be fluorescent. The fluorescence may be indicative of neural activity in the sample.
Methods and Apparatus for Sparse Decomposition Light Field Microscopy