3D image-based stereology

Yoshitaka Adachi, Mayumi Ojima, Naoko Sato, Yuan Tsung Wang

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Citations (Scopus)


The features present in 3D structure have geometric properties that fall into two broad categories: topological and metric. Metric properties are generally the more familiar; these include volume, surface area, line length and curvature. Equally or even more important in some applications are the topological properties of features. The two principal topological properties are number per unit volume and connectivity. In the present study, a change in morphology of pearlite and dual phase microstructures was examined from differential geometry and topology viewpoint. 3D images of eutectoid pearlite and dual phase steels were obtained by reconstructing serial sectioning images. Their metric and topological features were evaluated using The Euler Poincare formula and The Gauss-Bonnet Theorem. In addition, newly developed fully-automated serial sectioning 3D microscope "Genus-3D" will be also introduced.

Original languageEnglish
Title of host publicationTHERMEC 2011
PublisherTrans Tech Publications Ltd
Number of pages6
ISBN (Print)9783037853030
Publication statusPublished - 2012
Externally publishedYes
Event7th International Conference on Processing and Manufacturing of Advanced Materials, THERMEC'2011 - Quebec City, QC, Canada
Duration: 2011 Aug 12011 Aug 5

Publication series

NameMaterials Science Forum
ISSN (Print)0255-5476
ISSN (Electronic)1662-9752


Other7th International Conference on Processing and Manufacturing of Advanced Materials, THERMEC'2011
CityQuebec City, QC


  • 3D
  • Connectivity
  • Differential geometry
  • Dispersivity
  • Dual phase steel
  • Euler characteristics
  • Genus
  • Pearlite
  • Serial sectioning
  • Topology

ASJC Scopus subject areas

  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering


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