Fourier Descriptors and their Applications in Biology

doi:10.1017/CBO9780511529870

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.

- Aa Reduce text
- Aa Enlarge text

View selected items
Save to my bookmarks
Export citations
Download PDF (zip)
Save to Kindle
Save to Dropbox
Save to Google Drive
Save content to
To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to .

To save content items to your Kindle, first ensure no-reply@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

Please be advised that item(s) you selected are not available.
You are about to save
Your Kindle email address

Please provide your Kindle email.

@free.kindle.com @kindle.com (service fees apply)

By using this service, you agree that you will only keep content for personal use, and will not openly distribute them via Dropbox, Google Drive or other file sharing services

Contents

Frontmatter
pp i-iv
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

Contents
pp v-vi
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

List of contributors
pp vii-viii
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

Preface
pp ix-x
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

Acknowledgments
pp xi-xii
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

Part one - Theoretical considerations
pp 1-2
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

1 - Introduction
pp 3-21
- By Pete E. Lestrel, UCLA School of Dentistry
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

2 - Introduction and overview of Fourier descriptors
pp 22-44
- By Pete E. Lestrel, UCLA School of Dentistry
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

3 - Growth and form revisited
pp 45-73
- By Dwight W. Read, UCLA Department of Anthropology
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

4 - Methodological issues in the description of forms
pp 74-105
- By Paul O'higgins, University College, London
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

5 - Phase angles, harmonic distance, and the analysis of form
pp 106-126
- By Roger L. Kaesler, The University of Kansas
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

Part two - Applications of Fourier descriptors
pp 127-128
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

6 - Closed-form Fourier analysis: A procedure for extraction of ecological information about foraminiferal test morphology
pp 129-156
- By Nancy Healy-Williams, South Carolina Commission on Higher Education, Robert Ehrlich, University of South Carolina, William E. Full, The Wichita State University
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

7 - Fourier descriptors and shape differences: Studies on the upper vertebral column of the mouse
pp 157-188
- By D.R. Johnson, Centre for Human Biology, University of Leeds
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

8 - Application of the Fourier method on genetic studies of dentofacial morphology
pp 189-209
- By Lindsay C. Richards, The University of Adelaide, Grant C. Townsend, Nihon University School of Dentistry, Kazutaka Kasai
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

9 - Fourier analysis of size and shape changes in the Japanese skull
pp 210-226
- By Fumio Ohtsuki, Tokyo Metropolitan University, Teruo Uetake, Tokyo University of Agriculture and Technology, Kazutaka Adachi, The University of Tokyo, Kazuro Hanihara, International Institute for Advanced Studies
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

10 - Craniofacial variability in the hominoidea
pp 227-249
- By Burkhard Jacobshagen, Anthropologisches Institut im FB Biologie, der Justus-Liebeg-Universität Gieβen
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

11 - Heuristic adequacy of Fourier descriptors: Methodologic aspects and applications in Morphological
pp 250-293
- By Vittorio Pesce Delfino, Teresa Lettini, Eligio Vacca, Consorzio di Ricerca DIGAMMA, Bari, Italy
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

12 - Analyzing human gait with Fourier descriptors
pp 294-306
- By Teruo Uetake, Tokyo University of Agriculture and Technology
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

13 - Elliptic Fourier descriptors of cell and nuclear shapes
pp 307-321
- By Giacomo Diaz, Corrado Cappai, Maria Dolores Setzu, Silvia Sirigu, Andrea Diana, Cagliari University
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

14 - Cranial base changes in shunt-treated hydrocephalics: Fourier descriptors
pp 322-339
- By Jan Å. Huggare, UCLA School of Dentistry Karolinska Institute
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

15 - A numerical and visual approach for measuring the effects of functional appliance therapy: Fourier descriptors
pp 340-358
- By Won Moon, Private Dental Practice, Fullerton, CA
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

16 - Size and shape of the rabbit orbit: 3-D Fourier descriptors
pp 359-378
- By Pete E. Lestrel, UCLA School of Dentistry, Dwight W. Read, Charles Wolfe, UCLA School of Dentistry, Department of Anthropology, UCLA. Wolfe Consulting Software Engineers, Sylmar, California
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

17 - From optical to computational Fourier transforms: The natural history of an investigation of the cancellous structure of bone
pp 379-408
- By Charles E. Oxnard, The University of Western Australia
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

18 - Epilogue: Fourier methods and shape analysis
pp 409-414
- By Neal R. Garrett, West Los Angeles VA Medical Center and UCLA School of Dentistry
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

Appendix
pp 415-434
- By Charles A. Wolfe, Wolfe Consulting Software Engineers
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

Glossary
pp 435-459
- By Charles A. Wolfe
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

Index
pp 460-466
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

Metrics

Altmetric attention score

Total number of HTML views: 0

Total number of PDF views: 0 *

Loading metrics...

Total views: 0 *

Loading metrics...

* Views captured on Cambridge Core between #date#. This data will be updated every 24 hours.

Usage data cannot currently be displayed.

Why this information is here

This section outlines the accessibility features of this content - including support for screen readers, full keyboard navigation and high-contrast display options. This may not be relevant for you.

Accessibility Information

Accessibility compliance for the PDF of this book is currently unknown and may be updated in the future.

Fourier Descriptors and their Applications in Biology

Book description

Refine List

Actions for selected content:

Save Search

Contents

Metrics

Altmetric attention score

Full text views

Book summary page views

Accessibility standard: Unknown

Why this information is here

Accessibility Information