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Applied Optics

Applied Optics


  • Vol. 37, Iss. 13 — May. 1, 1998
  • pp: 2628–2636

An extension of quasi-one-dimensional tomography

T. E. Gureyev and R. Evans  »View Author Affiliations

Applied Optics, Vol. 37, Issue 13, pp. 2628-2636 (1998)

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A method for rapid limited-angle tomography is suggested that allows the reconstruction of density distribution in hardwood samples with high accuracy and spatial resolution from only a few x-ray projections. The sparsity of the experimental x-ray data is compensated by incorporation of a priori knowledge about generic wood macrostructure, as well as some morphological information obtainable from optical images of the sample surface, in the mathematical framework of the tomographic analysis. Numerical tests of the proposed method confirm its potential as a practical technique for nondestructive testing of trees for scientific and industrial purposes. It can also be useful for the analysis of other types of object with an underlying layered structure.

© 1998 Optical Society of America

OCIS Codes
(100.1830) Image processing : Deconvolution
(100.2960) Image processing : Image analysis
(100.3190) Image processing : Inverse problems
(110.6960) Imaging systems : Tomography
(120.4290) Instrumentation, measurement, and metrology : Nondestructive testing
(170.6960) Medical optics and biotechnology : Tomography

Original Manuscript: July 3, 1997
Revised Manuscript: October 15, 1997
Published: May 1, 1998

T. E. Gureyev and R. Evans, "An extension of quasi-one-dimensional tomography," Appl. Opt. 37, 2628-2636 (1998)

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  1. R. Evans, “Rapid measurement of the transverse dimensions of tracheids in radial wood sections from Pinus radiata,” Holzforschung 48, 168–172 (1994). [CrossRef]
  2. R. Evans, G. M. Downes, D. N. J. Menz, S. L. Stringer, “Rapid measurement of variation in tracheid transverse dimensions in a radiata pine tree,” Appita J. 48, 134–138 (1995).
  3. R. Evans, R. P. Kibblewhite, S. Stringer, “Kraft pulp fiber property prediction from wood properties in eleven radiata pine clones,” Appita J. 50, 25–33 (1997).
  4. T. E. Gureyev, R. Evans, S.-A. Stuart, M. Cholewa, “Quasi-one-dimensional tomography,” J. Opt. Soc. Am. A 13, 735–742 (1996). [CrossRef]
  5. K. C. Tam, V. Perez-Mendez, “Tomographical imaging with limited-angle input,” J. Opt. Soc. Am. 71, 582–592 (1981). [CrossRef]
  6. H. H. Barrett, “Limited-angle tomography for the nineties,” J. Nucl. Med. 31, 1688–1692 (1990). [PubMed]
  7. H. A. Core, W. A. Cote, A. C. Day, Wood Structure and Identification, 2nd ed. (Syracuse U. Press, Syracuse, N.Y., 1979).
  8. Consider the simplest example of uniform density ρc(x, y) ≡ C. Obviously, ρc(x, y) can be described by a 1D+ model with the uniform 1D density g(s) ≡ C and arbitrary structure angle f(s).
  9. T. E. Gureyev, R. Evans, “X-ray microdensitometry of wood. Numerical and experimental evaluation of quasi-one-dimensional tomographic methods,” Report DFFP521 (CSIRO Forestry and Forest Products, Melbourne, Australia, 1996).
  10. It is a frequent feature of hardwood species that the regions of rapid density variation near the boundaries of growth rings are free from vessel elements.

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