Seed Shape Description and Quantification by Comparison with Geometric Models

Cervantés, Emilio; Gómez, José Javier Martín

doi:10.3390/horticulturae5030060

Cited by 28 publications

(36 citation statements)

References 34 publications

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“…These are useful for the identification of some species and may be associated with more general morphological patterns. Our main objective was to describe the shape of seeds based on the comparison of seed images with geometric figures as it was done in other species [ 32 , 33 , 34 , 35 , 36 , 37 , 38 , 39 , 40 , 41 , 42 , 43 , 44 ].…”

Section: Discussionmentioning

confidence: 99%

“…In the first case, it is not possible to have quantitative data because the kidney is not a geometrically defined figure, and in both cases, there are no described means to determine the degree of similarity to a kidney or to quantify sphericity of the seeds. To address this situation, we present a method based on the comparison of the seed images with bi-dimensional geometric figures described mathematically [ 32 , 33 ]. This allows the quantification of the two-dimensional shape of the seeds by the percentage of similarity between the seed image and a given geometric figure.…”

Section: Introductionmentioning

confidence: 99%

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Seed Morphology in Silene Based on Geometric Models

Gómez

Rewicz

Rodríguez-Lorenzo

et al. 2020

Plants

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Seed description in morphology is often based on adjectives such as “spherical”, “globular”, or “reniform”, but this does not provide a quantitative method. A new morphological approach based on the comparison of seed images with geometric models provides a seed description in Silene species on a quantitative basis. The novelty of the proposed method is based in the comparison of the seed images with geometric models according to a cardioid shape. The J index is a measurement that indicates the seed percentage of similarity with a cardioid or cardioid-derived figures used as models. The seeds of Silene species have high values of similarity with the cardioid and cardioid-derived models (J index superior to 90). The comparison with different figures allows species description and differentiation. The method is applied here to seeds of 21 species and models are proposed for some of them including S. diclinis, an endangered species. The method is discussed in the context of previous comparison with the measures used in traditional morphometric analysis. The similarity of seed images with geometric figures opens a new perspective for the automatized taxonomical evaluation of samples linking seed morphology to functional traits in endangered Silene species.

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Seed Morphology in Silene Based on Geometric Models

Gómez

Rewicz

Rodríguez-Lorenzo

et al. 2020

Plants

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“…The two images (seed and model) can be superimposed searching for a maximum similarity and the ratio between shared and total surface areas, that we have termed J index, is calculated with the data obtained in ImageJ [ 15 ]. J index measures the percent of similarity between two images (the seed and the model) and provides information on overall seed shape [ 16 , 17 ]. Bidimensional seed images of many plant species adjust well to one of three morphological types: the ellipse, the oval and the cardioid [ 18 ].…”

Section: Seed Morphology In the Vitaceaementioning

confidence: 99%

Seed Geometry in the Vitaceae

Cervantés

Gómez

Pozo

2021

Plants

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The Vitaceae Juss., in the basal lineages of Rosids, contains sixteen genera and 950 species, mainly of tropical lianas. The family has been divided in five tribes: Ampelopsideae, Cisseae, Cayratieae, Parthenocisseae and Viteae. Seed shape is variable in this family. Based on new models derived from equations representing heart and water drop curves, we describe seed shape in species of the Vitaceae. According to their similarity to geometric models, the seeds of the Vitaceae have been classified in ten groups. Three of them correspond to models before described and shared with the Arecaceae (lenses, superellipses and elongated water drops), while in the seven groups remaining, four correspond to general models (waterdrops, heart curves, elongated heart curves and other elongated models) and three adjust to the silhouettes of seeds in particular genera (heart curves of Cayratia and Pseudocayratia, heart curves of the Squared Heart Curve (SqHC) type of Ampelocissus and Ampelopsis and Elongated Superellipse-Heart Curves (ESHCs), frequent in Tetrastigma species and observed also in Cissus species and Rhoicissus rhomboidea). The utilities of the application of geometric models for seed description and shape quantification in this family are discussed.

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“…Comparing the shape of seeds (outline of seed images) to geometric figures permits a precise quantification of seed shape, and in this condition, shape description is independent of size. We have established a method based on the comparison of the bi-dimensional images of seeds with geometric figures by the calculation of J index [19,20]. J index is the percent of similarity between two plane figures: the seed image and the geometric model [19][20][21][22][23][24][25][26][27].…”

Section: J Index a Magnitude In Seed Morphologymentioning

confidence: 99%

Seed Geometry in the Arecaceae

2020

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Fruit and seed shape are important characteristics in taxonomy providing information on ecological, nutritional, and developmental aspects, but their application requires quantification. We propose a method for seed shape quantification based on the comparison of the bi-dimensional images of the seeds with geometric figures. J index is the percent of similarity of a seed image with a figure taken as a model. Models in shape quantification include geometrical figures (circle, ellipse, oval…) and their derivatives, as well as other figures obtained as geometric representations of algebraic equations. The analysis is based on three sources: Published work, images available on the Internet, and seeds collected or stored in our collections. Some of the models here described are applied for the first time in seed morphology, like the superellipses, a group of bidimensional figures that represent well seed shape in species of the Calamoideae and Phoenix canariensis Hort. ex Chabaud. Oval models are proposed for Chamaedorea pauciflora Mart. and cardioid-based models for Trachycarpus fortunei (Hook.) H. Wendl. Diversity of seed shape in the Arecaceae makes this family a good model system to study the application of geometric models in morphology.

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Seed Shape Description and Quantification by Comparison with Geometric Models

Cited by 28 publications

References 34 publications

Seed Morphology in Silene Based on Geometric Models

Seed Morphology in Silene Based on Geometric Models

Seed Geometry in the Vitaceae

Seed Geometry in the Arecaceae

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