Visualizing, Analyzing and Constructing L-System from Arborized 3D Model Using a Web Application

Nick van Nielen, Fons Verbeek, Lu Cao
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Abstract

In biology, arborized structures are well represented and typically complex for visualization and analysis. In order to have a profound understanding of the topology of arborized 3D biological model, higher level abstraction is needed. We aim at constructing an abstraction of arborized 3D biological model to an L-system that provides a generalized formalization in a grammar to represent complex structures. The focus of this paper is to combine 3D visualization, analysis and L-system abstraction into a single web application. We designed a front-end user interface and a back-end. In the front-end, we used A-Frame and defined algorithms to generate and visualize L-systems. In the back-end, we utilized the Vascular Modelling Toolkit's (VMTK) centerline analysis methods to extract important features from the arborized 3D models, which can be applied to L-system generation. In addition, two 3D biological models: lactiferous duct and artery are used as two case studies to verify the functionality of this web application. In conclusion, our web application is able to visualize, analyse and create L-system abstractions of arborized 3D models. This in turn provides workflow-improving benefits, easy accessibility and extensibility.
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使用网络应用程序,从 Arborized 3D 模型可视化、分析和构建 L 系统
在生物学中,树枝状结构有很好的表现形式,通常可用于可视化和分析。为了深刻理解树枝状三维生物模型的拓扑结构,需要更高层次的抽象。我们的目标是将树枝化三维生物模型抽象为一个 L 系统,用语法提供一个通用的形式化来表示复杂的结构。本文的重点是将三维可视化、分析和 L 系统抽象结合到一个单一的网络应用程序中。在前端,我们使用了 A-Frame,并定义了生成和可视化 L 系统的算法。在后端,我们利用血管建模工具包(VMTK)的中心线分析方法从树枝化三维模型中提取重要特征,并将其应用于 L 系统的生成。此外,我们还使用了两个三维生物模型:乳腺导管和动脉作为案例研究,以验证该网络应用程序的功能。总之,我们的网络应用程序能够可视化、分析和创建树枝化三维模型的 L 系统抽象。这反过来又提供了改进工作流程的好处、易访问性和可扩展性。
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