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Image-Based Fractal Description of Microstructures

  • J. M. Li
  • Li Lü
  • M. O. Lai
  • B. Ralph

Table of contents

  1. Front Matter
    Pages I-XIII
  2. J. M. Li, Li Lü, M. O. Lai, B. Ralph
    Pages 1-12
  3. J. M. Li, Li Lü, M. O. Lai, B. Ralph
    Pages 13-24
  4. J. M. Li, Li Lü, M. O. Lai, B. Ralph
    Pages 25-56
  5. J. M. Li, Li Lü, M. O. Lai, B. Ralph
    Pages 57-78
  6. J. M. Li, Li Lü, M. O. Lai, B. Ralph
    Pages 79-110
  7. J. M. Li, Li Lü, M. O. Lai, B. Ralph
    Pages 111-132
  8. J. M. Li, Li Lü, M. O. Lai, B. Ralph
    Pages 133-158
  9. J. M. Li, Li Lü, M. O. Lai, B. Ralph
    Pages 159-174
  10. J. M. Li, Li Lü, M. O. Lai, B. Ralph
    Pages 175-192
  11. J. M. Li, Li Lü, M. O. Lai, B. Ralph
    Pages 193-214
  12. J. M. Li, Li Lü, M. O. Lai, B. Ralph
    Pages 215-254
  13. Back Matter
    Pages 255-272

About this book

Introduction

Fractal analysis has rapidly become an important field in materials science and engineering with broad applications to theoretical analysis and quantitative description of microstructures of materials. Fractal methods have thus far shown great potential in engineering applications in quantitative microscopic analysis of materials using commercial microscopes.
This book attempts to introduce the fundamentals and the basis methods of fractal description of microstructures in combination with digital imaging and computer technologies. Basic concepts are given in the form of mathematical expressions. Detailed algorithms in practical applications are also provided. Fractal measurement, error analysis and fractal description of cluster growth, thin films and surfaces are emphasized in this book.
Image-Based Fractal Description of Microstructures provides a comprehensive approach to materials characterization by fractal from theory to application.

Keywords

3D Counting Processing Regression analysis algorithms classification computer correlation image processing linear regression materials characterization materials science statistics technology theorem

Authors and affiliations

  • J. M. Li
    • 1
  • Li Lü
    • 2
  • M. O. Lai
    • 2
  • B. Ralph
    • 3
  1. 1.Data Storage InstituteSingapore
  2. 2.Department of Mechanical EngineeringNational University of SingaporeSingapore
  3. 3.Faculty of Technology and Information SystemsBrunel UniversityUK

Bibliographic information