This paper develops a theory for the atomic decomposition of mixtures of translation-invariant signals. Suppose we have a linear combination of shifted copies of a known waveform with unknown shifts and coefficients. These shifts assume continuous values on the real line. We show that one can recover the exact translations and amplitudes by solving a continuous analog of `1 minimization, provid...

During the last ten years or so, the discipline of Translation Studies has undoubtedly become an established and recognized branch within the scientific community. This is also proven by the discussion of “turns”, or “paradigmatic shifts”, which recently have been increasingly the topic of various publications. Among these shifts, or turns, we can also find the increasing concern in questions r...

We present a new method of segmenting planar regions when an uncalibrated camera undergoes (near) pure translation. We show that, for pure translation parallel to a plane, the relation between the two views, when expressed in a reciprocal-polar ( 1 r , θ) space, is a pure shift in the ( 1 r ) dimension for a given value of θ. Furthermore, we show that the magnitude of these shifts follows a sin...