A note on the sampling of zero crossings of two-dimensional signals
Curtis et al. applied a theorem due to Bezout to show that almost all continuous, periodic, band-limited two-dimensional signals can be reconstructed from at most 4(N<inf>1</inf>+ N<inf>2</inf>)<sup>2</sup>zero-crossing samples where N<inf>1</inf>and N<inf>2</inf>is the number of Fourier coefficients in the signal. In this letter we prove a new version of Bezout's theorem and apply it to the above problem to provide a more lenient sampling requirement of at most 8N<inf>1</inf>N<inf>2</inf>zero-crossing samples.