Chapter 3. Lattices, Adjacency of Lattice Points, and Images

  1. Prof. Dr. Joachim Ohser1 and
  2. Dr. Katja Schladitz2

Published Online: 29 JUN 2010

DOI: 10.1002/9783527628308.ch3

3D Images of Materials Structures: Processing and Analysis

3D Images of Materials Structures: Processing and Analysis

How to Cite

Ohser, J. and Schladitz, K. (2009) Lattices, Adjacency of Lattice Points, and Images, in 3D Images of Materials Structures: Processing and Analysis, Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim, Germany. doi: 10.1002/9783527628308.ch3

Author Information

  1. 1

    University of Applied Sciences, FB Mathematik und Naturwissenschaft, Schöfferstr. 3, 64295 Darmstadt, Germany

  2. 2

    Fraunhofer-Institut für Techno- und Wirtschaftsmathematik, Fraunhofer-Platz 1, 67663 Kaiserslautern, Germany

Publication History

  1. Published Online: 29 JUN 2010
  2. Published Print: 9 SEP 2009

ISBN Information

Print ISBN: 9783527312030

Online ISBN: 9783527628308

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Keywords:

  • lattices;
  • adjacency;
  • images;
  • digitization;
  • pixel configuration;
  • Euler number;
  • rendering

Summary

This chapter contains sections titled:

  • Introduction

  • Point Lattices, Digitizations and Pixel Configurations

  • Adjacency and Euler Number

  • The Euler Number of Microstructure Constituents

  • Image Data

  • Rendering