Novel Approaches in Mathematical Description of Hen Egg Geometry

Abstract

Precise quantification of the profile of a hen egg can provide a powerful tool for analysis of egg shape and following solving of various technological problems. The article presents a new approach of the eggshell geometry determination using and analyzing the egg digital image and edge detection techniques. The detected points on the eggshell contour were fitted by the Fourier series. The obtained equations describing an egg profile were used to calculate the egg volume, surface area, and radius of curvature with a much higher degree of precision in comparison with previously published approaches. It was shown that radii of curvature at the critical points of the egg profile are independent on the egg shape index. The article shows and quantifies the limitations of the common and frequent procedures.

Effect of egg storage duration on the rheology of liquid egg products

“…These parameters were determined by the procedure described in (Severa et al, 2013). The knowledge of egg shape index enables to classify the eggs to three groups: sharp, normal and rough.…”

Effect of the loading rate on compressive properties of goose eggs

“…The image analysis was performed using Matlab software has been used for the evaluation of the coordinates x i and y i of the egg contour [16]. Instead of Cartesian coordinates the shape the eggshell contour can be described using the polar coordinates r and φ:…”

Time and Frequency Domain Response of Grape Berries to Nondestructive Impact during the Harvesting Period

“…The digital photographs of the single berries were evaluated using the procedure described by Severa et al . (). This analysis shows that the shape of the berry can be considered as an ellipsoid with axis L and l .…”