<abstract xmlns="http://www.w3.org/1999/xhtml"><p>A proposal of a mathematical method of modelling of the lemon shape with Bézier's curves was presented. Lisbon, Verna, Genoa lemon cultivars were selected for verification of the modelling method. The lemon contour, which is its meridian, was described with three smoothly combined Bézier's curves. Pictures taken in 10 locations changing every 36o were the basis for description of lemon contours. Bézier's curves, which approximate meridians located on the surface of lemons, are their 3D models. The presented method may be applied for mathematical modelling of the lemon shape.</p></abstract>

A proposal of a mathematical method of modelling of the lemon shape with Bézier's curves was presented. Lisbon, Verna, Genoa lemon cultivars were selected for verification of the modelling method. The lemon contour, which is its meridian, was described with three smoothly combined Bézier's curves. Pictures taken in 10 locations changing every 36o were the basis for description of lemon contours. Bézier's curves, which approximate meridians located on the surface of lemons, are their 3D models. The presented method may be applied for mathematical modelling of the lemon shape.

Geometrical Model of Lemon Fruit

Institute of Production Organization and Engineering

Agricultural Engineering

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"Geometrical Model of Lemon Fruit"}

A proposal of a mathematical method of modelling of the lemon shape with Bézier's curves was presented. Lisbon, Verna, Genoa lemon cultivars were selected for...

Geometrical Model of Lemon Fruit

Publié en ligne: 26 juin 2017

Pages: 101 - 110

Reçu: 01 déc. 2016

Accepté: 01 avr. 2017

DOI: https://doi.org/10.1515/agriceng-2017-0020

Mots clés
Lemons, shape, Bezier's curves, mathematical models

© 2017 Leszek Mieszkalski, published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Geometrical Model of Lemon Fruit

Publié en ligne: 26 juin 2017

Pages: 101 - 110

Reçu: 01 déc. 2016

Accepté: 01 avr. 2017

DOI: https://doi.org/10.1515/agriceng-2017-0020

Mots clésLemons, shape, Bezier's curves, mathematical models

© 2017 Leszek Mieszkalski, published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Mots clés
Lemons, shape, Bezier's curves, mathematical models