Surface Area and Volume Modeling of the Williams Pear (<i>Pyrus Communis</i>)

Babić, Ljiljana; Matić-Kekić, Snežana; Dedović, Nebojša; Babić, Mirko; Pavkov, Ivan

doi:10.1080/10942912.2010.506020

Cited by 18 publications

(9 citation statements)

References 14 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…A similar result was obtained for the analogical approach applied to other biological objects. [21] Figure 2 shows an example of the computed egg's contour.…”

Section: Resultsmentioning

confidence: 99%

Novel Approaches in Mathematical Description of Hen Egg Geometry

Severa

Nedomová

Buchar

et al. 2013

International Journal of Food Properties

View full text Add to dashboard Cite

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.

show abstract

“…A similar result was obtained for the analogical approach applied to other biological objects. [21] Figure 2 shows an example of the computed egg's contour.…”

Section: Resultsmentioning

confidence: 99%

Novel Approaches in Mathematical Description of Hen Egg Geometry

Severa

Nedomová

Buchar

et al. 2013

International Journal of Food Properties

View full text Add to dashboard Cite

show abstract

“…The geometric characteristics can be also described by alternative procedures, described e.g. in Babić et al (2011).…”

Section: Introductionmentioning

confidence: 99%

Effect of Loading Rate on Hen’s Eggshell Mechanics

Trnka¹,

Buchar²,

Severa³

et al. 2012

JFR

View full text Add to dashboard Cite

The study is focused on analysis of mechanical behavior of hen's eggshell expressed in terms of average rupture force and corresponding deformation. Some other physical properties such as mass, length, diameter, geometric mean diameter, surface area, sphericity, and volume were also evaluated. The egg samples were compressed along their X and Z-axes. Two different experimental methods were used: compression between two plates (loading rates 0.0167, 0.167, and 1.67 mm/s) and impact of a free-falling cylindrical bar (loading rates up to 17 mm/s). Surface displacement and surface velocity were measured using the laser-vibrometer. The increase in rupture force with loading rate was observed for loading in all direction (along main axes). Dependence of the rupture force on loading rate was quantified and described. The highest rupture force was obtained when the eggs were loaded along the X-axis. Compression along the Z-axis required the least compressive force to break the eggshells.

show abstract

“…Example 2.1. In [2,7], it was necessary to identify the function which would approximate border line of an average Williams pear as precisely as possible, because it was further used for the calculation of pear surface area and volume. Consequently, 6th order polynomial function y 1 (x) = 6 k=0 a k x k was chosen.…”

Section: Resultsmentioning

confidence: 99%

Nonsensical Excel and Statistica Default Output and Algorithm for an Adequate Display

Matic-Kekic,

Dedovic,

Mutavdzic

2013

Preprint

Self Cite

View full text Add to dashboard Cite

The purpose of this paper is to present an algorithm that determines the necessary and sufficient number of significant digits in the coefficients of polynomial trend in order to achieve a pre-specified precision of polynomial trend. Thus, the obtained coefficients should be presented in the default output when fitting the experimental data by polynomial trend. Namely, in order to find the best fitting function for certain type of data there is a real possibility of making significant errors using default output of Excel 2003Excel , 2007Excel , 2010Excel , 2013 and Statistica for Windows 2007-2012 software packages. Conversely, software package Mathematica (version 6) has shown very good characteristics in dealing with precision problems, although the default output sometimes shows more significant digits than necessary. Also, it turned out that the software packages Excel and Statistica violated the order of operations as defined in mathematics. For example, −1 2 = 1 and −(−3) 2 = 9. This problem always occurs in Excel, while at Statistica during the graphical interpretation of a function.

show abstract

Surface Area and Volume Modeling of the Williams Pear (Pyrus Communis)

Cited by 18 publications

References 14 publications

Novel Approaches in Mathematical Description of Hen Egg Geometry

Novel Approaches in Mathematical Description of Hen Egg Geometry

Effect of Loading Rate on Hen’s Eggshell Mechanics

Nonsensical Excel and Statistica Default Output and Algorithm for an Adequate Display

Contact Info

Product

Resources

About