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Quantitative evaluation of the three-dimensional fruit shape and size of Citrus species based on spherical harmonic descriptors

Quantitative evaluation of the three-dimensional fruit shape and size of Citrus species based on... A measurement system, which consisted of a CCD laser displacement sensor and two pulse stages, was constructed to obtain three-dimensional (3-D) surface data of Citrus fruit. Fruits of 58 species of three specimens each were measured. By expanding the data measured in a series of spherical harmonic functions, a set of expansion coefficients to characterize the object shape was obtained. The data was normalized to make the coefficients be independent of the x- and y-coordinates of the object. To summarize the information about shape contained in the62 coefficients, a principal component analysis of the standardized spherical harmonic coefficients of each fruit was made. The contribution of each of the first seven principal components was found to exceed that of a single variable. The first three principal components had a cumulative contribution of 0.823.Analysis of variance showed that the variance due to between-species as tested against the variance due to within-species was significant for the 1st,2nd, 3rd, 4th, 7thcomponent score and the volume. A scatter diagram of the 1st and 2nd principal components failed to group the species studied. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Euphytica Springer Journals

Quantitative evaluation of the three-dimensional fruit shape and size of Citrus species based on spherical harmonic descriptors

Ding, Wei; Nesumi, Hirohisa; Takano, Yasushi; Ukai, Yasuo
Euphytica , Volume 114 (2) – Oct 9, 2004
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References (17)

Publisher
Springer Journals
Copyright
Copyright © 2000 by Kluwer Academic Publishers
Subject
Life Sciences; Ecology; Plant Sciences; Plant Physiology
ISSN
0014-2336
eISSN
1573-5060
DOI
10.1023/A:1003963214304
Publisher site
See Article on Publisher Site

Abstract

A measurement system, which consisted of a CCD laser displacement sensor and two pulse stages, was constructed to obtain three-dimensional (3-D) surface data of Citrus fruit. Fruits of 58 species of three specimens each were measured. By expanding the data measured in a series of spherical harmonic functions, a set of expansion coefficients to characterize the object shape was obtained. The data was normalized to make the coefficients be independent of the x- and y-coordinates of the object. To summarize the information about shape contained in the62 coefficients, a principal component analysis of the standardized spherical harmonic coefficients of each fruit was made. The contribution of each of the first seven principal components was found to exceed that of a single variable. The first three principal components had a cumulative contribution of 0.823.Analysis of variance showed that the variance due to between-species as tested against the variance due to within-species was significant for the 1st,2nd, 3rd, 4th, 7thcomponent score and the volume. A scatter diagram of the 1st and 2nd principal components failed to group the species studied.

Journal

Euphytica – Springer Journals

Published: Oct 9, 2004

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