A pyramid that grows by powers of 2

  • Authors:
  • Walter G. Kropatsch

  • Affiliations:
  • Center for Automation Research, University of Maryland, College Park, MD 20742, USA

  • Venue:
  • Pattern Recognition Letters
  • Year:
  • 1985

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Abstract

The features of a new pyramid scheme are presented. It is based on a decomposition of a square grid into overlapping 2 x 2 blocks. The diagonal of the square cell becomes the side of a square at the next higher level. Assume unit length at the bottom level 0 of the pyramid, then the side length of a cell at level n is 2^n^2. The number of the elements at level n + 1 is one half of the level n.