Stereology pp 235-249 | Cite as

Measurement of Topological Parameters

  • F. N. Rhines


The most rudimentary aspects of geometric form are those which are expressed by the topological parameters. Two of these will be discussed in the present paper, namely: (1) number of separate parts of the geometric entity, and (2) its connectivity, called genus. Topological parameters are typically independent of physical dimensions, such as length, area, volume, mean curvature and are unchanged by any deformation that may be performed upon the geometric entity, so long as the deformation does not involve cutting, or joining.


Convex Body Integral Curvature Separate Part Triple Line Topological Parameter 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Buteau, L. J., J. Kronsbein, and R. T. DeHoff, Trans. AIME, 233, 1961–1969, 1965.Google Scholar
  2. 2.
    Craig, K. R., Masters Thesis, University of Florida, Gainesville, Florida, December 1965.Google Scholar
  3. 3.
    DeHoff, R. T., Trans. AIME, 230, 764–769, 1964.Google Scholar
  4. 4.
    DeHoff, R. T., and E. H. Aigeltinger, unpublished continuing research at the University of Florida, Gainesville, Florida.Google Scholar
  5. 5.
    DeHoff, R. T., and F. N. Rhines, Trans. AIME, 221, 975–981, 1961.Google Scholar
  6. 6.
    DeHoff, and F. N. Rhines, “Chapter X, Quantitative Metallography.” In process of publication, McGraw-Hill Company.Google Scholar
  7. 7.
    Fulman, R. L., Trans. AIME, 197, 1267–1268, 1953.Google Scholar
  8. 8.
    Smith, C. S., Trans. AIME, 175, 15–51, 1948.Google Scholar
  9. 9.
    Smith, C. S., Metals Review, 9, No. 33, 1964.Google Scholar
  10. 10.
    Smith, C. S., and L. Gutman, Trans. AIME, 197, 81–87, 1953.Google Scholar

Copyright information

© Springer-Verlag New York Inc. 1967

Authors and Affiliations

  • F. N. Rhines
    • 1
  1. 1.Department of Metallurgical and Materials EngineeringUniversity of FloridaGainesvilleUSA

Personalised recommendations