Excerpt from Custom-Made Pyramids
The basic step in the construction of the proposed pyramid scheme is a spatial resampling technique used in graphics related to anti-aliasing. We will first describe the resampling idea in one dimension. The transformation can be applied to rectangular grids by first sampling the rows, and then sampling the columns of the result. We will then present a formulation of the sampling idea that permits the construction of pyramids using arbitrary placements of pixels (such as hexagonal grids). The central property of the sampling method is that each pixel contributes fully to the output samples, thereby minimizing sampling artifacts.
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