The Prism Machine: An Alternative to the Pyramid.

Abstract

The prism machine is a stack of n cellular arrays, each of size (2 to the n power x 2 to the n power). Cell (i,j) on level k is connected to cells (i,j), ( i+2 to the k power ,j), and (i,j+2 to the K power) on level k+1, 1 < or = k < n, where the sums are modulo 2 to the n power. Such a machine can perform various operations (e.g., Gaussian convolutions or least-squares polynomial fits) on image neighborhoods of power-of-2 sizes in every position in O(n) time, unlike a pyramid machine which can do this only in sampled positions. It can also compute the discrete Fourier transform in O(n) time.

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1984
Accession Number
ADA145725

Entities

People

  • Azriel Rosenfeld

Organizations

  • University of Maryland

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Air Force
  • Algorithms
  • Cartesian Coordinates
  • Computations
  • Convolution
  • Discrete Fourier Transforms
  • Governments
  • Identification
  • Image Processing
  • Maryland
  • Polynomials
  • Procurement
  • Scientific Research
  • Two Dimensional
  • United States
  • United States Government
  • Universities

Readers

  • Approximation Theory.
  • Computer Programming and Software Development.
  • Graph Algorithms and Convex Optimization.