Ming Yee Chiu, Harrison H. Barrett, Robert G. Simpson

Research output: Contribution to journalArticlepeer-review

54 Scopus citations


The technique of direct three-dimensional reconstruction from planar projections is analyzed from a linear system viewpoint. It is shown that unfiltered back projection and summation of the one-dimensional planar projections give a point-spread function that behaves like 1/r in three-dimensional space. Thus an analogy between this reconstruction problem and the familiar electrostatic problem is set up. To correct the 1/r blurring, a Laplacian operation on the unfiltered summation is required. Another method for reconstruction is to perform a second derivative operation on the one-dimensional planar projection set before the back projection. The advantages of this reconstruction scheme as compared with reconstruction from line projections are discussed.

Original languageEnglish (US)
Pages (from-to)755-762
Number of pages8
JournalJournal of the Optical Society of America
Issue number7
StatePublished - Jan 1 1980
Externally publishedYes

ASJC Scopus subject areas

  • Engineering(all)

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