Convolution on Mesh Connected Multicomputers

  • Authors:
  • S. Ranka;S. Sahni

  • Affiliations:
  • -;-

  • Venue:
  • IEEE Transactions on Pattern Analysis and Machine Intelligence
  • Year:
  • 1990

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Abstract

An efficient parallel algorithm is presented for convolution on a mesh-connected computer with wraparound. The algorithm does not require a broadcast feature for data values, as assumed by previously proposed algorithms. As a result, the algorithm is applicable to both SIMD and MIMD meshes. For an N*N image and a M*M template, the previous algorithms take O(M/sup 2/q) time on an N*N mesh-connected multicomputer (q is the number of bits in each entry of the convolution matrix). The algorithms have complexity O(M/sup 2/r), where r=max (number of bits in an image entry, number of bits in a template entry). In addition to not requiring a broadcast capability, these algorithms are faster for binary images.