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Fourier Descriptors and their Applications in Biology - Pete E. Lestrel

Fourier Descriptors and their Applications in Biology

By: Pete E. Lestrel (Editor)

Hardcover

Published: 13th May 1997
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The purpose of this book is to introduce Fourier descriptors as a method for measuring the shape of whole, or parts of, organisms.

Fourier descriptors refers to the utilisation of Fourier analysis, primarily the Fourier series as a curve fitting technique, that can numerically describe the shape of irregular structures such as are commonly found in living organisms. The quantitative characterisation of irregular forms is often the first step toward elucidation of the underlying biological processes, whether they be genetic, evolutionary, or functional.

The first five chapters discuss the theory behind the use of Fourier descriptors and the remaining chapters show case studies of how they can be used in various fields of biology such as anatomy, cell biology, medicine and dentistry.

This is the first book solely devoted to this subject.

  • The book describes and introduces to biologists Fourier descriptors as a method for quantifying irregular shapes
  • The first five chapters discuss the theory and the remaining chapters give examples of their use.
  • Examples given of their use in anatomy, cell biology, medicine, physical anthropology and dentistry.
About the Editor

Pete E. Lestrel, University of California, Los Angeles

Preface
Acknowledgements
Theoretical Considerations
Introduction
Introduction and overview of Fourier descriptors
Growth and form revisited
Methodological issues in the description of forms
Phase angles, harmonic distance and the analysis of form
Applications of Fourier Descriptors
Closed-form Fourier analysis: a procedure for extraction of ecological information about foraminiferal test morphology
Fourier descriptors and shape differences: studies on the upper vertebral column of the mouse
Application of the Fourier method on genetic studies of dentofacial morphology
Fourier analysis of size and shape changes in the Japanese skull
Craniofacial variability in the Hominoidea
Heuristic adequacy of Fourier descriptors: methodological aspects and applications in morphology
Analyzing human gait with Fourier descriptors
Elliptical Fourier descriptors of cell and nuclear shapes
Cranial base changes in shunt-treated hydrocephalics: Fourier descriptors
A numerical and visual approach for measuring the effects of functional appliance therapy: Fourier descriptors
Size and shape of the rabbit orbit: 3-D Fourier descriptors
From optical to computational Fourier transforms: the natural history of an investigation of the cancellous structure of bone
Epilogue: Fourier methods and shape analysis
Appendix
Glossary
Index
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521452014
ISBN-10: 0521452015
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 482
Published: 13th May 1997
Publisher: CAMBRIDGE UNIV PR
Country of Publication: GB
Dimensions (cm): 25.3 x 17.7  x 2.7
Weight (kg): 1.05