<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

Published Online: Jun 26, 2017

Page range: 101 - 110

Received: Dec 01, 2016

Accepted: Apr 01, 2017

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

Keywords
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

Published Online: Jun 26, 2017

Page range: 101 - 110

Received: Dec 01, 2016

Accepted: Apr 01, 2017

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

KeywordsLemons, 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.

Keywords
Lemons, shape, Bezier's curves, mathematical models