Acta Scientiarum Polonorum

Scientific paper founded in 2001 year by Polish agricultural universities

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Administratio Locorum
(Gospodarka Przestrzenna) 15 (1-2) 2016     ISSN: 1644-0741
Title
MATHEMATICAL DESCRIPTION OF 3D SHAPE OF LEMON FRUIT CHARACTERISTICS
Autor
Leszek Mieszalski
Keywords
lemon, shape, Bézier curves, ellipsoid, mathematical description, 3D models
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.
Pages
29-41
Cite
Mieszalski, L. (2016). MATHEMATICAL DESCRIPTION OF 3D SHAPE OF LEMON FRUIT CHARACTERISTICS. Acta Sci. Pol. Technica Agraria, 15(1-2), 29-41.
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