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
Permalink -

https://repository.canterbury.ac.uk/item/9160v/how-oviform-is-the-chicken-egg-new-mathematical-insight-into-the-old-oomorphological-problem

  • 64
    total views
  • 0
    total downloads
  • 1
    views this month
  • 0
    downloads this month

Export as

Related outputs

A novel enhanced SOC estimation method for lithium-ion battery cells using cluster-based LSTM models and centroid proximity selection
Al-Alawi, M., Jaddoa, A., Cugley, J. and Hassanin, H. 2024. A novel enhanced SOC estimation method for lithium-ion battery cells using cluster-based LSTM models and centroid proximity selection. Journal of Energy Storage. 97 (B), p. 112866. https://doi.org/10.1016/j.est.2024.112866
Advancing safety and efficiency in critical infrastructure with a novel SOC estimation for battery storage systems: A focus on second life batteries
Al-Alawi, M., Cugley, J., Jaddoa, A. and Hassanin, H. 2024. Advancing safety and efficiency in critical infrastructure with a novel SOC estimation for battery storage systems: A focus on second life batteries.
Embracing sustainable farming: Unleashing the circular economy potential of second-life EV batteries in agricultural applications
Al-Alawi, M., Cugley, J. and Hassanin, H. 2023. Embracing sustainable farming: Unleashing the circular economy potential of second-life EV batteries in agricultural applications.
Using second-life batteries and solar power to help farms become energy efficient.
Al-Alawi, M., Cugley, J. and Hassanin, H. 2023. Using second-life batteries and solar power to help farms become energy efficient. Canterbury Christ Church University.
Techno-economic feasibility of retired electric-vehicle batteries repurpose/reuse in second-life applications: A systematic review
Hassanin, H., Al-Alawi, M. and Cugley, J. 2022. Techno-economic feasibility of retired electric-vehicle batteries repurpose/reuse in second-life applications: A systematic review. Energy and Climate Change. 3 (100086). https://doi.org/10.1016/j.egycc.2022.100086
Planning, operation, and design of market-based virtual power plant considering uncertainty
Hassanin, H., Ullah, Z., Arshad, Cugley, J. and Al-Alawi, M. 2022. Planning, operation, and design of market-based virtual power plant considering uncertainty. Energies. 19 (15), p. 7290. https://doi.org/10.3390/en15197290
A 2-D imaging-assisted geometrical transformation method for non- destructive evaluation of the volume and surface area of avian eggs
Valeriy G. Narushin, Gang Lu, Cugley, J., Michael N. Romanov and Darren K. Griffin 2020. A 2-D imaging-assisted geometrical transformation method for non- destructive evaluation of the volume and surface area of avian eggs. Food Control. 112 (107112). https://doi.org/10.1016/j.foodcont.2020.107112
Digital imaging assisted geometry of chicken eggs using Hügelschäffer's model
Valeriy G. Narushin, Michael N. Romanov, Gang Lu, James Cugkey and Darren K. Griffin 2020. Digital imaging assisted geometry of chicken eggs using Hügelschäffer's model. Biosystems Engineering. 197, pp. 45-55. https://doi.org/10.1016/j.biosystemseng.2020.06.008
Advanced flame monitoring and emission prediction through digital imaging and spectrometry
Cugley, J. 2019. Advanced flame monitoring and emission prediction through digital imaging and spectrometry. PhD Thesis University of Kent School of Engineering and Digital Arts