Exploring artificial cranial deformation using elliptic Fourier analysis of procrustes aligned outlines

2003 ◽  
Vol 122 (1) ◽  
pp. 11-22 ◽  
Author(s):  
Martin Frieß ◽  
Michel Baylac
Keyword(s):  
Fourier Analysis ◽  
Elliptic Fourier Analysis

Foot asymmetry in healthy adults: Elliptic fourier analysis of standardized footprints

1998 ◽  
Vol 16 (6) ◽  
pp. 758-765 ◽  
Author(s):  
Chiarella Sforza ◽  
Giovanni Michielon ◽  
Nicola Fragnito ◽  
Virgilio F. Ferrario
Keyword(s):  
Fourier Analysis ◽  
Healthy Adults ◽  
Elliptic Fourier Analysis ◽  
Foot Asymmetry

Description and Quantification of Sexual Dimorphism of Pubic Body Shape in Hispanic Populations Using Elliptic Fourier Analysis

2021 ◽  
Author(s):  
Erica Cantor ◽  
Krista Latham ◽  
Stephen Nawrocki
Keyword(s):  
Fourier Analysis ◽  
North American ◽  
Principal Component ◽  
Pubic Bone ◽  
Biological Traits ◽  
Sex Estimation ◽  
Age At Death ◽  
Elliptic Fourier Analysis ◽  
Hispanic Populations ◽  
Effective Principal

Sex estimation is important in the creation of a biological profile for unidentified human remains, as positive identification cannot occur until the decedent’s biological traits have been determined and the range of possible matches has been narrowed. The pubic bone is cited as one of the best indicators of sex due to the constraints of childbirth. Current methods that use the pubic bone for sex estimation, however, rely on poorly defined and subjective observations that are susceptible to inter-and intraobserver error. Additionally, many of the methods currently in use are based on North American populations and thus may not necessarily model the variation seen in other populations around the globe. The aim of this study is to gain a better understanding of variation in pubic bone shape in Hispanic populations by separating the influences of sex, ancestry, and age at death. A total of 164 pubic bones from North American Hispanic and Chilean individuals were compared to 287 pubic bones from individuals of Euro-American ancestry from North American collections, using Elliptic Fourier analysis (EFA) of photographs, principal component analysis, and ANCOVA. EFA generated five effective principal components that collectively describe approximately 95% of the variation in the shape of the pubic body. Sex, age at death, and ancestry were all found to significantly influence shape but explained only 25% of the overall variation. The remaining 75% is likely influenced by variables that cannot be controlled for in anthropological analysis, underscoring how little variance in skeletal morphology is actually explainable.

Shape difference of mud clasts depending on depositional facies: application of newly modified elliptic Fourier analysis to hybrid event beds

2020 ◽  
Vol 90 (10) ◽  
pp. 1410-1435
Author(s):  
Sojiro Fukuda ◽  
Hajime Naruse
Keyword(s):  
Fourier Analysis ◽  
Shape Analysis ◽  
Transport Processes ◽  
Transport Systems ◽  
Shape Parameters ◽  
Elliptic Fourier Analysis ◽  
Depositional Facies ◽  
Size And Shape ◽  
Muddy Sediments ◽  
Hybrid Event

ABSTRACT Hybrid event beds are the deposits from sediment gravity flows that change their rheological behavior through their passage, entraining muddy sediments and damping turbulence. Muddy facies of hybrid event beds are often associated with abundant mud clasts which show a wide variety of size and shape. The variation of clast occurrence in hybrid event beds is expected to preserve the information of entrainment and transport processes of muddy sediments in submarine density currents. However, previous analyses of hybrid event beds have focused on describing the overall clast occurrence rather than the statistical size and shape analyses because traditional shape parameters are incapable of characterizing the complex shape of mud clasts. Here, a new quantitative grain-shape analysis of mud clasts is conducted and allows visualization of the spatial variation of clast size and shape, which suggests the wide variety of origin and transport systems of entrained mud clasts. This new method revises the traditional elliptic Fourier analysis, substituting Fourier power spectra (FPS) for traditional elliptic Fourier descriptors to overcome the mirror-wise shape problem. Further, principal-component analysis is shown to capture significant shape attributes more effectively than traditional shape parameters. The proposed method is applied to mud clasts in sediment-gravity-flow deposits in the lower Pleistocene Otadai Formation, central Japan. Results imply that there are distinctive shape and size differences of mud clasts that are strongly associated with depositional facies rather than the distance from the source. The clasts have a higher angularity than other facies in the debrite intervals in hybrid event beds. It is also shown that clasts in sandy, structureless facies have different characteristics in shapes based on elongation and convexity compared to laminated facies. Comparison between different shape-analysis methods demonstrates that none of the traditional methods are able to visualize these trends as effectively as the method presented herein. These results highlight the importance of the quantitative shape analysis of sediment grains and the effectiveness of FPS-based elliptic Fourier analysis.

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