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Three-dimensional morphological model of water lilies Nymphaea spp. for breeding historical study

Kirié S., Pradal C., Iwasaki H., Noshita K., Iwata H.. 2020. In : Kahlen Katrin (ed.), Chen Tsu-Wei (ed.), Fricke Andreas (ed.), Stützel Hartmut (ed.). Book of abstracts of the 9th International Conference on Functional-Structural Plant Models: FSPM2020, 5 - 9 October 2020. Hanovre : Institute of Horticultural Production Systems, p. 61-62. International Conference on Functional-Structural Plant Models (FSPM 2020), 2020-10-05/2020-10-09, (Allemagne).

Introduction - The water lilies Nymphaea spp. show a wide range of morphological features obtained through the horticultural breeding performed over 100 years, and diverse cultivars were created in the breeding history, such as those drawn by Claude Monet. We aim to understand how the floral morphologies have evolved to enhance their ornamental value. We propose a 3D morphological theoretical model to represent the floral structure of water lily. We will present a model to enable realistic representations from real data, such as the shape of the contour of a floral organ, and applications for our goal. Model overview The theoretical morphological model of the water lily is an algebraic operator that allows composing morphological models of floral organs using a model of phyllotaxis to generate a 3D flower architecture. Each floral organ is generated from a function that computes a three-dimensional C-spline surface from the size and lateral and longitudinal curvature. The ovary was represented by a curved surface obtained by rotating a twodimensional C-spline curve around the vertical axis. The spiral phyllotaxis operator was designed for the arrangement of floral organs on the ovary surface. Here, as the expression of the spiral phyllotaxis, intervals between adjacent organs are assigned based on the ratio of those sizes, and each floral organ is arranged with rotation by the golden angle (137.5°). These settings on the phyllotactic pattern is based on previous studies (eg. Prusinkiewicz et al. 2001 [1]). We adopted linear interpolation between angles of the outermost floral organ and the innermost floral organ for the expression of the series of elevation angles. A 3D morphological model is obtained by combining all these parametric operators. Result - Book of Abstract FSPM2020 Spline surfaces enabled flexible control of the theoretical morphological model. By extracting and applying parameters from image data of the floral organs, we were able to represent the mo

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