Fourier Analysis of the Ostracode Margin

Kaesler, Roger L.; Waters, Johnny A.

doi:10.1130/0016-7606(1972)83[1169:faotom]2.0.co;2

Cited by 94 publications

(55 citation statements)

References 2 publications

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“…Similar, though variable, approaches are available in the literature un craniometry (see Walker and Kowalskl, 1971;Bookstein, 1978). Among the most successful of these types approaches are by Bookstein (1977a,b; and Tobler (1977Tobler ( , 1978references therein Benson (1967;Kaesler and Waters, 1972). Here, Rho distances for evenly spaced intervals of Theta are subjected to a harmonic analysis; cosine waves of varying amplitude and period are fit to the outline of a shape (Davis, 1973 Benson, 1967) in a way similar to the approach of Brower and Veinus (1978).…”

Section: Theta-rho Analysismentioning

confidence: 91%

On the Measurement of Morphology and Its Change.

Benson¹,

Chapman²,

Siegel³

1982

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Section: Theta-rho Analysismentioning

confidence: 91%

On the Measurement of Morphology and Its Change.

Benson¹,

Chapman²,

Siegel³

1982

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“…The popularisation of desktop computing that led to the flourishing of theoretical shell models in the late 1980s, also promoted the development of morphometric methods, such as Elliptical Fourier Analysis (EFA) and geometric morphometrics (GM). Rohlf and Archie (1984) set a benchmark for the quantification of an organism's form by EFA, which was improved from Kaesler and Waters (1972) and Kuhl and Giardina (1982). Rohlf and Slice (1990) and Bookstein (1991) developed a complete standard protocol for GM.…”

Section: Why Empirical Morphologists Use Traditional and Geometric Momentioning

confidence: 99%

A method for quantifying, visualising, and analysing gastropod shell form

Liew

2014

Preprint

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Quantitative analysis of organismal form is an important component for almost every branch of biology. Although generally considered an easily-measurable structure, the quantification of gastropod shell form is still a challenge because shells lack homologous structures and have a spiral form that is difficult to capture with linear measurements. In view of this, we adopt the idea of theoretical modelling of shell form, in which the shell form is the product of aperture ontogeny profiles in terms of aperture growth trajectory that is quantified as curvature and torsion, and of aperture form that is represented by size and shape. We develop a workflow for the analysis of shell forms based on the aperture ontogeny profile, starting from the procedure of data preparation (retopologising the shell model), via data acquisition (calculation of aperture growth trajectory, aperture form and ontogeny axis), and data presentation (qualitative comparison between shell forms) and ending with data analysis (quantitative comparison between shell forms). We evaluate our methods on representative shells of the genus Opisthostoma and Plectostoma, which exhibit great variability in shell form. The outcome suggests that our method is robust, reproducible, and versatile for the analysis of shell form. Finally, we propose several potential applications of our methods in functional morphology, theoretical modelling, taxonomy, and evolutionary biology.PeerJ PrePrints | http://dx.doi.org/10.7287/peerj.preprints.157v2 | CC-BY 3.0

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“…The popularisation of desktop computing that led to the flourishing of theoretical shell models in the late 1980s, also promoted the development of morphometric methods, such as Elliptical Fourier Analysis (EFA) and geometric morphometrics (GM). Rohlf and Archie (1984) set a benchmark for the quantification of an organism's form by EFA, which was improved from Kaesler and Waters (1972) and Kuhl and Giardina (1982). Rohlf and Slice (1990) and developed a complete standard protocol for GM.…”

Section: Why Empirical Morphologists Use Traditional and Geometric Momentioning

confidence: 99%

A method for quantifying, visualising, and analysing gastropod shell form

Liew

2013

Preprint

View full text Add to dashboard Cite

Quantitative analysis of organismal form is an important component for almost every branch of biology. Although generally considered an easily-measurable structure, the quantification of gastropod shell form is still a challenge because shells lack homologous structures and have a spiral form that is difficult to capture with linear measurements. In view of this, we adopt the idea of theoretical modelling of shell form, in which the shell form is the product of aperture ontogeny profiles in terms of aperture growth trajectory that is quantified as curvature and torsion, and of aperture form that is represented by size and shape. We develop a workflow for the analysis of shell forms based on the aperture ontogeny profile, starting from the procedure of data preparation (retopologising the shell model), via data acquisition (calculation of aperture growth trajectory, aperture form and ontogeny axis), and data presentation (qualitative comparison between shell forms) and ending with data analysis (quantitative comparison between shell forms). We evaluate our methods on representative shells of the genus Opisthostoma, which exhibit great variability in shell form. The outcome suggests that our method is more robust, reproducible, and versatile than the conventional traditional and geometric morphometric approaches for the analysis of shell form. Finally, we propose several potential applications of our methods in functional morphology, theoretical modelling, taxonomy, and evolutionary biology.PeerJ PrePrints | https://peerj.com/preprints/157v1/ | v1

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Fourier Analysis of the Ostracode Margin

Abstract: The few Pennsylvanian echinoderm faunas reported from the Paleotethys are from China,

Cited by 94 publications

References 2 publications

On the Measurement of Morphology and Its Change.

On the Measurement of Morphology and Its Change.

A method for quantifying, visualising, and analysing gastropod shell form

A method for quantifying, visualising, and analysing gastropod shell form

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