Matrix Structures and Parallel Algorithms for Image Superresolution Reconstruction

  • Authors:
  • Qiang Zhang;Richard T. Guy;Robert J. Plemmons

  • Affiliations:
  • qizhang@wfubmc.edu;guyrt7@wfu.edu;plemmons@wfu.edu

  • Venue:
  • SIAM Journal on Matrix Analysis and Applications
  • Year:
  • 2010

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Abstract

Computational resolution enhancement (superresolution) is generally regarded as a memory-intensive process due to the large matrix-vector calculations involved. In this paper, a detailed study of the structure of the $n^2\times n^2$ superresolution matrix is used to decompose the matrix into nine matrices of size $l^2\times l^2$, where $l$ is the upsampling factor. As a result, previously large matrix-vector products can be broken into many small, parallelizable products. An algorithm is presented that utilizes the structural results to perform superresolution on compact, highly parallel architectures such as field-programmable gate arrays.