A Hankel Transform Approach to Tomographic Image Reconstruction

William E. Higgins, David C. Munson

Research output: Contribution to journalArticlepeer-review

40 Scopus citations


We develop a relatively unexplored algorithm for reconstructing a two-dimensional image from a finite set of its sampled projections. The algorithm, which we refer to as the Hankel-transform reconstruction (HTR) algorithm, is polar-coordinate based. The algorithm expands the polar-form Fourier transform F(r, θ) of an image into a Fourier series in θ; calculates the appropriately ordered Hankel transform of the coefficients of this series, giving the coefficients for the Fourier series of the polar-form image f(p, Φ); resolves this series, giving a polar-form reconstruction; and finally, if desired, interpolates this reconstruction to a rectilinear grid. We outline the HTR algorithm and show that its performance can compare favorably to the popular convolution-backprojection algorithm.

Original languageEnglish (US)
Pages (from-to)59-72
Number of pages14
JournalIEEE transactions on medical imaging
Issue number1
StatePublished - Mar 1988

All Science Journal Classification (ASJC) codes

  • Software
  • Radiological and Ultrasound Technology
  • Computer Science Applications
  • Electrical and Electronic Engineering


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