Geometric modeling of the valencia orange (Citrus sinensis L.) by applying bézier curves and an image-based cad approach

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68081723%3A_____%2F20%3A00533701" target="_blank" >RIV/68081723:_____/20:00533701 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/00216305:26620/20:PU137622

Výsledek na webu

<a href="https://www.mdpi.com/2077-0472/10/8/313" target="_blank" >https://www.mdpi.com/2077-0472/10/8/313</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.3390/agriculture10080313" target="_blank" >10.3390/agriculture10080313</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Geometric modeling of the valencia orange (Citrus sinensis L.) by applying bézier curves and an image-based cad approach

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Geometric modeling of the valencia orange (Citrus sinensis L.) by applying bézier curves and an image-based cad approach

Popis výsledku anglicky

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.

Druh

J_SC - Článek v periodiku v databázi SCOPUS

CEP obor

—

OECD FORD obor

20302 - Applied mechanics

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2020

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

AGRICULTURE-BASEL

ISSN

2077-0472

e-ISSN

—

Svazek periodika

10

Číslo periodika v rámci svazku

8

Stát vydavatele periodika

CH - Švýcarská konfederace

Počet stran výsledku

12

Strana od-do

313

Kód UT WoS článku

000579458000001

EID výsledku v databázi Scopus

2-s2.0-85088993352