In this research paper, we adapt for the first time Bernstein polynomials for reconstructing a continuous differentiable surfaces of a real leaf from 3D scanned data points. As such model is essential for modelling the plant architecture, fluid movement, and biological structure such as photosynthesis. To evaluate the accuracy of the proposed method, we apply it on a real scattered data points collected from a genuine Frangipani and Anthurium leaf surface using a laser scanner. We found that the Bernstein polynomials develop precise model of the leaf surface.

中文翻译：

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使用Bernstein多项式方法对叶片表面重建进行建模

在本研究论文中，我们首次将伯恩斯坦多项式应用于从3D扫描数据点重建真实叶子的连续可微表面。因此，这种模型对于建模植物结构，流体运动和生物结构（例如光合作用）至关重要。为了评估所提出方法的准确性，我们将其应用于使用激光扫描仪从真品鸡蛋花和红掌叶表面收集的真实分散数据点上。我们发现伯恩斯坦多项式建立了叶表面的精确模型。