Fourier Descriptors and their Applications in Biology

doi:10.1017/CBO9780511529870

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Edited by Pete E. Lestrel, University of California, Los Angeles

Publisher:: Cambridge University Press
Online publication date:: September 2009
Print publication year:: 1997
Online ISBN:: 9780511529870
DOI:: https://doi.org/10.1017/CBO9780511529870

Subjects:: Life Sciences, Quantitative Biology, Biostatistics and Mathematical Modeling

53.99 (GBP)

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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 refer to the utilization of Fourier analysis, primarily the Fourier series as a curve-fitting technique, that can numerically describe the outline (shape) of irregular structures such as are commonly found in living organisms. The quantitative characterization of irregular forms is often a first step towards 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 book is solely devoted to this subject and will be of interest to all those interested in biological morphometrics.

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Fourier Descriptors and their Applications in Biology

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Contents

Frontmatter
pp i-iv

Contents
pp v-vi

List of contributors
pp vii-viii

Preface
pp ix-x

Acknowledgments
pp xi-xii

Part one - Theoretical considerations
pp 1-2

1 - Introduction
pp 3-21

2 - Introduction and overview of Fourier descriptors
pp 22-44

3 - Growth and form revisited
pp 45-73

4 - Methodological issues in the description of forms
pp 74-105

5 - Phase angles, harmonic distance, and the analysis of form
pp 106-126

Part two - Applications of Fourier descriptors
pp 127-128

6 - Closed-form Fourier analysis: A procedure for extraction of ecological information about foraminiferal test morphology
pp 129-156

7 - Fourier descriptors and shape differences: Studies on the upper vertebral column of the mouse
pp 157-188

8 - Application of the Fourier method on genetic studies of dentofacial morphology
pp 189-209

9 - Fourier analysis of size and shape changes in the Japanese skull
pp 210-226

10 - Craniofacial variability in the hominoidea
pp 227-249

11 - Heuristic adequacy of Fourier descriptors: Methodologic aspects and applications in Morphological
pp 250-293

12 - Analyzing human gait with Fourier descriptors
pp 294-306

13 - Elliptic Fourier descriptors of cell and nuclear shapes
pp 307-321

14 - Cranial base changes in shunt-treated hydrocephalics: Fourier descriptors
pp 322-339

15 - A numerical and visual approach for measuring the effects of functional appliance therapy: Fourier descriptors
pp 340-358

16 - Size and shape of the rabbit orbit: 3-D Fourier descriptors
pp 359-378

17 - From optical to computational Fourier transforms: The natural history of an investigation of the cancellous structure of bone
pp 379-408

18 - Epilogue: Fourier methods and shape analysis
pp 409-414

Appendix
pp 415-434

Glossary
pp 435-459

Index
pp 460-466

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Fourier Descriptors and their Applications in Biology

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Contents

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