Browsing Math Technical Report Series by Author "Luke, D. Russell"

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  • Borwein, J. M.; Luke, D. Russell (Department of Mathematical Sciences, 2004-11-19)
    We study several generalizations of the AGM continued fraction of Ramanujan inspired by a series of recent articles in which the validity of the AGM relation and the domain of convergence of the continued fraction were ...
  • Borwein, J. M.; Luke, D. Russell (Department of Mathematical Sciences, 2004-11-16)
    We study a generalization of a continued fraction of Ramanujan with random coefficients. A study of the continued fraction is equivalent to an analysis of the convergence of certain stochastic difference equations and the ...
  • Luke, D. Russell (Department of Mathematical Sciences, 2004)
    The filtered backprojection algorithm (FBP) is a standard image reconstruction algorithm used in many imaging modalities. The FBP algorithm is suited for high-frequency imaging applications, that is, applications where the ...
  • Bauschke, H. H.; Combettes, P. L.; Luke, D. Russell (Department of Mathematical Sciences, 2004)
    In recent years, improvements in electromagnetic sources, detectors, optical components, and computational imaging have made it possible to achieve three-dimensional atomicscale resolution using tomographic phase-contrast ...

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