In this correspondence, we present new results on the reconstruction of two-dimensional signals from zero crossing or threshold crossing information. Specifically, we develop new theoretical results which state conditions under which two-dimensional bandlimited signals are uniquely specified to within a scale factor with this information. Unlike previous results in this area, our new results do not constrain the signals to be periodic or bandpass.
['Susan R. Curtis', 'Shlomo Shamai Shitz', 'Alan V. Oppenheim']
Reconstruction of nonperiodic two-dimensional signals from zero crossings