Geometrical model of lemon fruit

• Autorzy: Mieszkalski L.

Identyfikatory

DOI

10.1515/agriceng-2017-0020

Warianty tytułu

PL

Geometryczny model owoców cytryn

• Języki publikacji: EN

Abstrakty

EN

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.

PL

Przedstawiono propozycję metody matematycznego modelowania kształtu cytryn z wykorzystaniem krzywych Béziera. Do weryfikacji metody modelowania wybrano cytryny odmian Lisbon, Verna, Genoa. Kontur cytryny, który jest jej południkiem, opisano trzema gładko połączonymi krzywymi Béziera. Podstawą do opisu konturów cytryn są ich fotografie wykonane w 10 zmieniających się co 36o położeniach. Krzywe Béziera aproksymujące południki leżące na powierzchni cytryn są ich modelami 3D. Przedstawiona metoda może być stosowana do matematycznego modelowania kształtu cytryn.

Słowa kluczowe

EN

lemon; shape; Bezier's curves; mathematical model

PL

cytryna; kształt; krzywe Béziera; model matematyczny

• Wydawca: Polskie Towarzystwo Inżynierii Rolniczej
• Czasopismo: Agricultural Engineering
• Rocznik: 2017
• Tom: Vol. 21, No. 2
• Strony: 101--110
• Opis fizyczny: Bibliogr. 31 poz., rys., tab.

Twórcy

autor

Mieszkalski L.

• Institute of Production Organization and Engineering, Warsaw University of Life Science

Bibliografia

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Uwagi

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017).