Sampling the Fourier transform along radial lines
For researchers in signal processing and imaging, this work offers theoretical guarantees for a specific sampling geometry, but is incremental as it extends existing TV minimization theory to radial sampling.
The paper studies recovery of point sources from Fourier samples along radial lines using total variation minimization, providing theoretical conditions for recoverability and a numerical algorithm.
This article considers the use of total variation minimization for the recovery of a superposition of point sources from samples of its Fourier transform along radial lines. We present a numerical algorithm for the computation of solutions to this infinite dimensional problem. The theoretical results of this paper make precise the link between the sampling operator and the recoverability of the point sources.