Compressive sensing of high speed periodic videos
(a) Coded strobing schematic: Capture periodic phenomena by coding the shutter of a low frame-rate camera during every frame and reconstruct the phenomena at a higher rate by exploiting sparsity of periodic signals.
(b) Observation and signal model: At every pixel, the signal is periodic in time and has sparse Fourier coefficients. Observed values are a linear combination of the Fourier coefficients. The resulting under-determined system of equations are solved by enforcing sparsity of the coefficients.
(c) Results: A mill tool rotating at 50 Hz is captured by the coded strobing camera at 25 fps. The mill-tool is reconstructed at 2000 fps by enforcing sparsity of the Fourier coefficients.