Narushin, Valeriy G., Romanov, Michael N., Lu, Gang, Cugley, James, Griffin, Darren K. (2021) How oviform is the chicken egg? New mathematical insight into the old oomorphological problem. Food Control, 119 . Article Number 107484. ISSN 0956-7135. (doi:10.1016/j.foodcont.2020.107484) (KAR id:82655)
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Official URL: https://doi.org/10.1016/j.foodcont.2020.107484 |
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 Hügelschäffer'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 Hügelschäffer'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.
Item Type: | Article |
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DOI/Identification number: | 10.1016/j.foodcont.2020.107484 |
Uncontrolled keywords: | Chicken egg quality; Oviform objects; Oomorphology; Egg geometrical parameters; Hügelschäffer's model; Simulation modelling and digital imaging |
Subjects: |
Q Science > QH Natural history > QH324.2 Computational biology S Agriculture > SF Animal culture |
Divisions: | Divisions > Division of Natural Sciences > Biosciences |
Signature Themes: | Food Systems, Natural Resources and Environment |
Depositing User: | Mike Romanov |
Date Deposited: | 28 Aug 2020 08:46 UTC |
Last Modified: | 08 Sep 2023 13:43 UTC |
Resource URI: | https://kar.kent.ac.uk/id/eprint/82655 (The current URI for this page, for reference purposes) |
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