A New Mathematical Modeling of Banana Fruit and Comparison with Actual Values of Dimensional Properties

Mahmoud Soltani, Reza Alimardani and Mahmoud Omid

Modern Applied Science, 2010, vol. 4, issue 8, 104

Abstract: Banana (Cavendish variety) volume, projected area and surface area were estimated by mathematical approximation. The actual volume of banana was measured using water displacement, also the actual projected area and surface area were measured by image processing technique. These parameters that calculated by mathematical method compared to the actual values by the paired t-test and the Bland-Altman approach. The estimated volume and projected area were not significantly different from the volume determined using water displacement (P > 0.05) and projected area measured by image processing technique (P> 0.05) respectively. Although the estimated surface area was significantly different from the measured surface area by image processing method, but this mathematical estimation represented a good approximation of actual surface area. The mean difference between estimation method and water displacement method was 1.58 cm3(95% confidence interval-- 0.011 and 3.18 cm3 ; P = 0.058 ). There was a mean difference of - 0.71 cm2 (95% confidence interval- -1.49 and 0.074cm2 ; P = 0.083) between mathematical estimation method and image processing technique for projected area and 2.33 cm2 (95% confidence interval- 0.3 and 4.6 cm2 ; P

Date: 2010
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