Visualization of Tensor Fields in Mechanics,Computer Graphics Forum

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Visualization of Tensor Fields in Mechanics
Computer Graphics Forum ( IF 2.7 ) Pub Date : 2021-03-30 , DOI: 10.1111/cgf.14209
Chiara Hergl ₁ , Christian Blecha ₁ , Vanessa Kretzschmar ₁ , Felix Raith ₁ , Fabian Günther ₂ , Markus Stommel ₃ , Jochen Jankowai ₄ , Ingrid Hotz ₄ , Thomas Nagel ₅ , Gerik Scheuermann ₁

Affiliation

Tensors are used to describe complex physical processes in many applications. Examples include the distribution of stresses in technical materials, acting forces during seismic events, or remodeling of biological tissues. While tensors encode such complex information mathematically precisely, the semantic interpretation of a tensor is challenging. Visualization can be beneficial here and is frequently used by domain experts. Typical strategies include the use of glyphs, color plots, lines, and isosurfaces. However, data complexity is nowadays accompanied by the sheer amount of data produced by large-scale simulations and adds another level of obstruction between user and data. Given the limitations of traditional methods, and the extra cognitive effort of simple methods, more advanced tensor field visualization approaches have been the focus of this work. This survey aims to provide an overview of recent research results with a strong application-oriented focus, targeting applications based on continuum mechanics, namely the fields of structural, bio-, and geomechanics. As such, the survey is complementing and extending previously published surveys. Its utility is twofold: (i) It serves as basis for the visualization community to get an overview of recent visualization techniques. (ii) It emphasizes and explains the necessity for further research for visualizations in this context.

中文翻译：

力学中张量场的可视化

张量在许多应用中用于描述复杂的物理过程。示例包括技术材料中的应力分布、地震事件期间的作用力或生物组织的重塑。虽然张量在数学上精确地编码了如此复杂的信息，但张量的语义解释具有挑战性。可视化在这里很有用，并且经常被领域专家使用。典型的策略包括使用字形、颜色图、线条和等值面。然而，如今数据的复杂性伴随着大规模模拟产生的大量数据，并在用户和数据之间增加了另一层障碍。鉴于传统方法的局限性，以及简单方法的额外认知努力，更高级的张量场可视化方法一直是这项工作的重点。本次调查旨在提供一个以应用为导向的近期研究成果的概述，针对基于连续介质力学的应用，即结构、生物和地质力学领域。因此，该调查是对先前公布的调查的补充和扩展。它的用途是双重的：(i) 它是可视化社区获得最近可视化技术概览的基础。(ii) 它强调并解释了在这种情况下进一步研究可视化的必要性。该调查是对先前公布的调查的补充和扩展。它的用途是双重的：(i) 它是可视化社区了解最新可视化技术的基础。(ii) 它强调并解释了在这种情况下进一步研究可视化的必要性。该调查是对先前公布的调查的补充和扩展。它的用途是双重的：(i) 它是可视化社区了解最新可视化技术的基础。(ii) 它强调并解释了在这种情况下进一步研究可视化的必要性。

更新日期：2021-03-30

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