A tabular method for performing Fourier analysis of complex biological shape

Hdl Handle:
http://hdl.handle.net/10034/67776
Title:
A tabular method for performing Fourier analysis of complex biological shape
Authors:
Lewis, Stephen J.
Abstract:
Whilst linear dimensions are easily measured and analysed numerically, curvilinear forms are difficult both to define and to compare and are frequently left unexplored. A method of describing curved or non-uniform shapes, which has become popular among a number of biological workers, is Fourier analysis — a numerical analytical technique with an established mathematical background. Of the three stages followed when using this technique to describe biological shape - the construction of a wave-like curve from the shape being studied, the numerical (Fourier) analysis and the use of the Fourier coefficients to perform statistical analyses - that of how the Fourier analysis is performed is largely unreported. This leaves many unclear about how to perform a technique which they may otherwise find useful. A tabular method, which allows the computational steps of Fourier analysis to be monitored throughout, is described. This procedure can be readily performed, using a computer spreadsheet or on paper. The original curve may also be reconstructed from the Fourier coefficients, allowing one to check the success and accuracy of the method and to determine the number of coefficients necessary to define the shape to the required precision.
Affiliation:
Chester College of Higher Education
Citation:
In K. Boyle & S. Anderson (Eds.), Computing and statistics in osteoarchaeology (pp. 39-44). Oxford: Oxbow Books, 1997.
Publisher:
Oxbow Books (for The Osteoarchaeological Research Group)
Publication Date:
1997
URI:
http://hdl.handle.net/10034/67776
Additional Links:
http://www.oxbowbooks.com/home.cfm
Type:
Book chapter; Meetings and Proceedings
Language:
en
Description:
This is the author's PDF version of an book chapter published in Computing and statistics in osteoarchaeology ©1997. The paper was originally delivered at the second meeting of the Osteoarchaeological Research Group at the Institute of Archaeology, University College, London on 8 April 1995.
ISBN:
1900188465
Appears in Collections:
Biological Sciences

Full metadata record

DC FieldValue Language
dc.contributor.authorLewis, Stephen J.-
dc.date.accessioned2009-05-11T14:23:50Z-
dc.date.available2009-05-11T14:23:50Z-
dc.date.issued1997-
dc.identifier.citationIn K. Boyle & S. Anderson (Eds.), Computing and statistics in osteoarchaeology (pp. 39-44). Oxford: Oxbow Books, 1997.en
dc.identifier.isbn1900188465-
dc.identifier.urihttp://hdl.handle.net/10034/67776-
dc.descriptionThis is the author's PDF version of an book chapter published in Computing and statistics in osteoarchaeology ©1997. The paper was originally delivered at the second meeting of the Osteoarchaeological Research Group at the Institute of Archaeology, University College, London on 8 April 1995.en
dc.description.abstractWhilst linear dimensions are easily measured and analysed numerically, curvilinear forms are difficult both to define and to compare and are frequently left unexplored. A method of describing curved or non-uniform shapes, which has become popular among a number of biological workers, is Fourier analysis — a numerical analytical technique with an established mathematical background. Of the three stages followed when using this technique to describe biological shape - the construction of a wave-like curve from the shape being studied, the numerical (Fourier) analysis and the use of the Fourier coefficients to perform statistical analyses - that of how the Fourier analysis is performed is largely unreported. This leaves many unclear about how to perform a technique which they may otherwise find useful. A tabular method, which allows the computational steps of Fourier analysis to be monitored throughout, is described. This procedure can be readily performed, using a computer spreadsheet or on paper. The original curve may also be reconstructed from the Fourier coefficients, allowing one to check the success and accuracy of the method and to determine the number of coefficients necessary to define the shape to the required precision.en
dc.language.isoenen
dc.publisherOxbow Books (for The Osteoarchaeological Research Group)en
dc.relation.urlhttp://www.oxbowbooks.com/home.cfmen
dc.subjectFourier analysisen
dc.subjectbiological shapeen
dc.titleA tabular method for performing Fourier analysis of complex biological shapeen
dc.typeBook chapteren
dc.typeMeetings and Proceedingsen
dc.contributor.departmentChester College of Higher Educationen
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