A Backprojection Slice Theorem for Tomographic Reconstruction

Eduardo Miqueles, Nikolay Koshev, Elias S. Helou

Research output: Contribution to journalArticlepeer-review

21 Citations (Scopus)


Fast image reconstruction techniques are becoming important with the increasing number of scientific cases in high resolution micro and nano tomography. The processing of the large scale 3D data demands new mathematical tools for the tomographic reconstruction. Due to the high computational complexity of most current algorithms, big data sizes demands powerful hardware and more sophisticated numerical techniques. Several reconstruction algorithms are dependent on a mathematical tool called backprojection (a transposition process). A conventional implementation of the backprojection operator has cubic computational complexity. In the present manuscript we propose a new fast backprojection operator for the processing of tomographic data, providing a low-cost algorithm for this task. We compare our formula against other fast transposition techniques, using real and simulated large data sets.

Original languageEnglish
Article number8085177
Pages (from-to)894-906
Number of pages13
JournalIEEE Transactions on Image Processing
Issue number2
Publication statusPublished - Feb 2018
Externally publishedYes


  • Imaging
  • reconstruction algorithms
  • tomography


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