Elliptical Fourier analysis: fundamentals, applications, and value for forensic anthropology

Caple, Jodi, Byrd, John and Stephan, Carl N. (2017) Elliptical Fourier analysis: fundamentals, applications, and value for forensic anthropology. International Journal of Legal Medicine, 131 6: 1-16. doi:10.1007/s00414-017-1555-0

Author Caple, Jodi
Byrd, John
Stephan, Carl N.
Title Elliptical Fourier analysis: fundamentals, applications, and value for forensic anthropology
Journal name International Journal of Legal Medicine   Check publisher's open access policy
ISSN 1437-1596
Publication date 2017-02-17
Year available 2017
Sub-type Article (original research)
DOI 10.1007/s00414-017-1555-0
Open Access Status Not yet assessed
Volume 131
Issue 6
Start page 1
End page 16
Total pages 16
Place of publication Heidelberg, Germany
Publisher Springer
Language eng
Subject 2734 Pathology and Forensic Medicine
Abstract The numerical description of skeletal morphology enables forensic anthropologists to conduct objective, reproducible, and structured tests, with the added capability of verifying morphoscopic-based analyses. One technique that permits comprehensive quantification of outline shape is elliptical Fourier analysis. This curve fitting technique allows a form’s outline to be approximated via the sum of multiple sine and cosine waves, permitting the profile perimeter of an object to be described in a dense (continuous) manner at a user-defined level of precision. A large amount of shape information (the entire perimeter) can thereby be collected in contrast to other methods relying on sparsely located landmarks where information falling in between the landmarks fails to be acquired. First published in 1982, elliptical Fourier analysis employment in forensic anthropology from 2000 onwards reflects a slow uptake despite large computing power that makes its calculations easy to conduct. Without hurdles arising from calculation speed or quantity, the slow uptake may partly reside with the underlying mathematics that on first glance is extensive and potentially intimidating. In this paper, we aim to bridge this gap by pictorially illustrating how elliptical Fourier harmonics work in a simple step-by-step visual fashion to facilitate universal understanding and as geared towards increased use in forensic anthropology. We additionally provide a short review of the method’s utility for osteology, a summary of past uses in forensic anthropology, and software options for calculations that largely save the user the trouble of coding customized routines.
Keyword Forensic science
Outline analysis
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status UQ

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Sub-type: Article (original research)
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