Geometric Modeling of the Valencia Orange ( Citrus sinensis L.) by Applying Bézier Curves and an Image-Based CAD Approach

Hector A. Tinoco, Daniel R. Barco, Olga Ocampo and Jaime Buitrago-Osorio
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Hector A. Tinoco: Experimental and Computational Mechanics Laboratory, Universidad Autónoma de Manizales, Antigua Estación del Ferrocarril, Edificio fundadores C.P., Manizales 170001, Colombia
Daniel R. Barco: Tecno-Parque nodo Manizales, Servicio Nacional de Aprendizaje -SENA, Manizales 170001, Colombia
Olga Ocampo: Experimental and Computational Mechanics Laboratory, Universidad Autónoma de Manizales, Antigua Estación del Ferrocarril, Edificio fundadores C.P., Manizales 170001, Colombia
Jaime Buitrago-Osorio: Experimental and Computational Mechanics Laboratory, Universidad Autónoma de Manizales, Antigua Estación del Ferrocarril, Edificio fundadores C.P., Manizales 170001, Colombia

Agriculture, 2020, vol. 10, issue 8, 1-12

Abstract: The computer-aided design of fruits are used for different purposes, e.g., to determine mechanical properties by applying engineering simulations, to design postharvest equipment, and to study the natural changes related to the topology. This paper developed a methodology to model Valencia orange ( Citrus sinensis ), applying Bézier curves and an image-based CAD approach; the orange geometry was designed for different ripening stages. In the modeling process, a 3D construction was carried out using third-order Bézier curves, adjusted to the images taken in orthogonal planes. Four control points defined each profile to compose the geometric pattern of the orange, with geometric errors lower than 3%. Two prediction models were proposed to relate the orthogonal dimensions with a factor size; this means that two dimensions out of three can be predicted. The results showed that the shape ratios kept constant in any ripening stage; however, the radius of curvature evidenced differences in the analyzed shape profiles. The methodological framework presented in the paper might be used to draw other types of citrus fruits. This contribution is a tool to model fruits in 3D, instead of using expensive technological equipment, since it is only necessary to apply computer design tools.

Keywords: CAD-based geometric model; Valencia orange; geometric model parametrization; fruit modeling; 3D fruits; Bézier curves; image-based CAD (search for similar items in EconPapers)
JEL-codes: Q1 Q10 Q11 Q12 Q13 Q14 Q15 Q16 Q17 Q18 (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
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