Dimensionality-Changing Transformations With Nonrectangular Sampling Strategies
Russell M. Mersereau · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 1984
This paper is concerned with the use of dimensionality changing transformations for the digital processing of signals that have been sampled on sampling lattices other than the familiar rectangular, or row-column one. After introducing the idea of nonrectangular sampling, the paper formally presents a particularly useful class of dimensionality-changing transformations and presents conditions under which they can be used for signal processing. It does this by means of a vector notation. The major result is that the use of such transformations with nonrectangularly sampled data is no less restrictive, no more difficult, nor substantially different than with rectangularly sampled data.