Direct transformation from Cartesian into geodetic coordinates on a triaxial ellipsoid

Diaz–Toca, Gema M.; Marín, Leandro; Necula, Ioana

doi:10.1016/j.cageo.2020.104551

Cited by 9 publications

(6 citation statements)

References 28 publications

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“…The projected gland center locations on the ellipsoid were described in terms of longitude and latitude coordinates with respect to the ellipsoid (Diaz‐Toca et al, 2020). We tested whether the gland point cloud follows a uniform distribution, where every unit area of the skin has the same probability of containing oil glands or if the underlying distribution is rotationally symmetric, where the oil glands pattern is symmetrical around a fixed direction.…”

Section: Methodsmentioning

confidence: 99%

“…in terms of longitude and latitude coordinates with respect to the ellipsoid(Diaz-Toca et al, 2020). We tested whether the gland point cloud follows a uniform distribution, where every unit area of the skin has the same probability of containing oil glands or if the underlying distribution is rotationally symmetric, where the oil glands pattern is symmetrical around a fixed direction.Uniformity was tested with Projected Anderson-Darling (PAD) test (García-Portugués, Navarro-Esteban, & Cuesta-Albertos, 2020) with the R package sphunif (García-Portugués & Verdebout, 2021).…”

mentioning

confidence: 99%

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The shape of aroma: Measuring and modeling citrus oil gland distribution

Amézquita

Quigley

Ophelders

et al. 2022

Plants People Planet

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Societal Impact StatementCitrus are intrinsically connected to human health and culture, preventing human diseases like scurvy and inspiring sacred rituals. Citrus fruits come in a stunning number of different sizes and shapes, ranging from small clementines to oversized pummelos, and fruits display a vast diversity of flavors and aromas. These qualities are key in both traditional and modern medicine and in the production of cleaning and perfume products. By quantifying and modeling overall fruit shape and oil gland distribution, we can gain further insight into citrus development and the impacts of domestication and improvement on multiple characteristics of the fruit.Summary Citrus come in diverse sizes and shapes, and play a key role in world culture and economy. Citrus oil glands in particular contain essential oils which include plant secondary metabolites associated with flavor and aroma. Capturing and analyzing nuanced information behind the citrus fruit shape and its oil gland distribution provide a morphology‐driven path to further our insight into phenotype–genotype interactions. We investigated the shape of citrus fruit of 51 accessions based on 3D X‐ray computed tomography (CT) scan reconstructions. Accessions include members of the three ancestral citrus species as well as related genera, and several interspecific hybrids. We digitally separate and compare the size of fruit endocarp, mesocarp, exocarp, and oil gland tissue. Based on the centers of the oil glands, overall fruit shape is approximated with an ellipsoid. Possible oil gland distributions on this ellipsoid surface are explored using directional statistics. There is a strong allometry along fruit tissues; that is, we observe a strong linear relationship between the logarithmic volume of any pair of major tissues. This suggests that the relative growth of fruit tissues with respect to each other follows a power law. We also observe that on average, glands distance themselves from their nearest neighbor following a square root relationship, which suggests normal diffusion dynamics at play. The observed allometry and square root models point to the existence of biophysical developmental constraints that govern novel relationships between fruit dimensions from both evolutionary and breeding perspectives. Understanding these biophysical interactions prompts an exciting research path on fruit development and breeding.

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Section: Methodsmentioning

confidence: 99%

mentioning

confidence: 99%

The shape of aroma: Measuring and modeling citrus oil gland distribution

Amézquita

Quigley

Ophelders

et al. 2022

Plants People Planet

View full text Add to dashboard Cite

show abstract

“…The projected gland center locations on the ellipsoid were described in terms of longitude and latitude coordinates with respect to the ellipsoid (Diaz–Toca et al, 2020). We tested whether the gland point cloud follows a uniform distribution, where every unit area of the skin has the same probability of containing oil glands; or if the underlying distribution is rotationally symmetric, where the oil glands pattern is symmetrical around a fixed direction.…”

Section: Methodsmentioning

confidence: 99%

The shape of aroma: measuring and modeling citrus oil gland distribution

Amézquita

Quigley

Ophelders

et al. 2022

Preprint

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SummaryCitrus come in diverse sizes and shapes, and play a key role in world culture and economy. Citrus oil glands in particular contain essential oils which include plant secondary metabolites associated with flavor and aroma. Capturing and analyzing nuanced information behind the citrus fruit shape and its oil gland distribution provides a morphology-driven path to further our insight into phenotype-genotype interactions.We investigated the shape of citrus fruit of 51 accessions based on 3D X-ray CT scan reconstructions. Accessions include all three ancestral citrus species, accessions from related genera, and several interspecific hybrids. We digitally separate and compare the size of fruit endocarp, mesocarp, exocarp, and oil gland tissue. Based on the centers of the oil glands, overall fruit shape is approximated with an ellipsoid. Possible oil gland distributions on this ellipsoid surface are explored using directional statistics.There is a strong allometry along fruit tissues; that is, we observe a strong linear relationship between the volume of any pair of major tissues. This suggests that the relative growth of fruit tissues with respect to each other follows a power law. We also observe that on average, glands distance themselves from their nearest neighbor following a square root relationship, which suggests normal diffusion dynamics at play.The observed allometry and square root models point to the existence of biophysical developmental constraints that govern novel relationships between fruit dimensions from both evolutionary and breeding perspectives. Understanding these biophysical interactions prompt an exciting research path on fruit development and breeding.Societal Impact StatementCitrus are intrinsically connected to human health and culture, including preventing human diseases like scurvy, and inspiring sacred rituals. Citrus fruits come in a stunning number of different sizes and shapes, ranging from small clementines to oversized pummelos, and fruits display a vast diversity of flavors and aromas. These qualities are key in both traditional and modern medicine and the production of cleaning and perfume products. By quantifying and modeling overall fruit shape and oil gland distribution, we can gain further insight into citrus development and the impacts of domestication and improvement on multiple characteristics of the fruit.

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“…When desired, geographical coordinates may be computed from the ECEF coordinates via the Heiskanen and Moritz's (1967) method (Claessens, 2019;Diaz-Toca et al, 2020;Gerdan & Deakin, 1999)…”

Section: Derived Geometric Constants Of the Ellipsoidmentioning

confidence: 99%

A level Ellipsoid for modelling regional Gravity Field

Chivatsi,

Md,

Pa'suya

2023

Preprint

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Modern, very precise gravity models are now being created in the discipline of geodesy, using purely satellite techniques. Thanks to the GOCE and GRACE missions, high quality global gravitational models have been computed and made available to users. The models allow for the derivation of gravity field functionals when coupled with reference equipotential normal ellipsoids, such as GRS80 and WGS84. These ellipsoids represent the global fit to the geoid, but may depart from the geoid in local circumstances. The precision of computed gravimetric field functionals depends on the fit of the reference model to the geoid. In this study, a regional normal ellipsoid that fits the local geoid is computed from terrestrial data, using both ordinary and combined least squares optimization techniques, applying the theory of equipotential ellipsoid. Results from the combined model were used to compute the geometrical and physical constants of the new ellipsoid A normal ellipsoid, with semi-major axis of 6378145.549089m and flattening, 269.792502072 and the same mass and angular velocity as the earth was obtained. These parameters can be used with a geopotential model to yield smoother gravity field functionals, for use in geoid modelling and other geoscience applications.

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Direct transformation from Cartesian into geodetic coordinates on a triaxial ellipsoid

Cited by 9 publications

References 28 publications

The shape of aroma: Measuring and modeling citrus oil gland distribution

The shape of aroma: Measuring and modeling citrus oil gland distribution

The shape of aroma: measuring and modeling citrus oil gland distribution

A level Ellipsoid for modelling regional Gravity Field

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