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Vol. 15 No. 1-2 (2016)

Artykuły

MATHEMATICAL DESCRIPTION OF 3D SHAPE OF LEMON FRUIT CHARACTERISTICS

Submitted: April 11, 2019
Published: 2017-08-28

Abstract

This paper presents a mathematical description of the characteristics of the 3D shape of lemon fruits using Bézier curves and ellipsoid. Eureka and Genoa varieties were selected for modelling. The outline of the lemon, which is the meridian, was described by three connected Bézier curves. The basis for the description of lemon contours are their photographs in 10 positions, changing every 36°. The ellipsoid was used as an alternative method to model the lemon shape. Bézier curves approximating the meridians lying on the surface of the lemons and of the ellipsoid are their 3D models. The presented method using Bézier curves can be used for the mathematical modeling of the shape of lemons. The ellipsoid is not a good model to approximate the shape of lemons.

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