THREE-DIMENSIONAL RECONSTRUCTION FROM PLANAR PROJECTIONS.

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

Research output: Contribution to journalArticle

53 Citations (Scopus)

Abstract

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
Volume70
Issue number7
StatePublished - Jul 1980
Externally publishedYes

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Optical transfer function
Linear systems
Electrostatics
Derivatives

ASJC Scopus subject areas

  • Engineering(all)

Cite this

THREE-DIMENSIONAL RECONSTRUCTION FROM PLANAR PROJECTIONS. / Chiu, Ming Yee; Barrett, Harrison H; Simpson, Robert G.

In: Journal of the Optical Society of America, Vol. 70, No. 7, 07.1980, p. 755-762.

Research output: Contribution to journalArticle

Chiu, Ming Yee ; Barrett, Harrison H ; Simpson, Robert G. / THREE-DIMENSIONAL RECONSTRUCTION FROM PLANAR PROJECTIONS. In: Journal of the Optical Society of America. 1980 ; Vol. 70, No. 7. pp. 755-762.
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