How oviform is the chicken egg? New mathematical insight into the old oomorphological problem

Journal article


Valeriy G. Narushin, Darren K. Griffin, James Cugley, Michael N. Romanov and Gang Lu 2021. How oviform is the chicken egg? New mathematical insight into the old oomorphological problem. Food Control. 119 (107484). https://doi.org/10.1016/j.foodcont.2020.107484
AuthorsValeriy G. Narushin, Darren K. Griffin, James Cugley, Michael N. Romanov and Gang Lu
Abstract

The chicken egg, a major food product, has been, as a model oviform object, the focus of advanced description in
mathematical terms, and such a description has practical applications in engineering, industrial and biological
disciplines. A precise mathematical description circumscribing major oomorphological characteristics, coupled with their non-destructive measurement, remains, to a certain extent, problematic and has not yet been achieved,
hampering their effective control and use. A contour of any chicken egg can be accurately defined with Hügelschaeffer’s model by means of three main measures: length, L, maximum breadth, B, and a parameter w that corresponds to a distance of shifting the ellipse center to form an egg ovoid. The goal of the study was a comprehensive theoretical evaluation and development of basic geometrical formulae to define egg external traits by using Hügelschaeffer’s model and employing simulation modelling, digital imaging and image processing. As a result, we deduced novel geometrical formulae for the egg long circumference, C, volume, V, area of a plane curve obtained by the normal/orthogonal projection, A, surface area, S, distance parameter, w, and radius of curvature, R, at any point on the x-axis. For practical use in the poultry industry and food engineering, the proposed formulae can be instrumental in the non-destructive and accurate definition of the external parameters of any chicken egg.

KeywordsChicken egg quality; Oviform objects; Oomorphology; Egg geometrical parameters; Hügelschaeffer’s mode; Simulation modelling and digital imaging
Year2021
JournalFood Control
Journal citation119 (107484)
PublisherElsevier
ISSN0956-7135
Digital Object Identifier (DOI)https://doi.org/10.1016/j.foodcont.2020.107484
Official URLhttps://www.sciencedirect.com/science/article/pii/S095671352030400X
Publication dates
Print01 Jan 2021
Publication process dates
Accepted10 Jul 2020
Deposited04 Jul 2022
Output statusPublished
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https://repository.canterbury.ac.uk/item/9160v/how-oviform-is-the-chicken-egg-new-mathematical-insight-into-the-old-oomorphological-problem

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