Visualization of Multivariate Data on Surfaces

Allan Rocha
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Abstract

This research builds upon ideas introduced and discussed many years ago that focus on the problem of visualizing multiple attributes on surfaces in a single view. Here we present a new perspective to this problem as well as a solution that allows us to design, visualize and interact with multivariate data on surfaces. Building upon multidisciplinary aspects, we present a new way to visualize multivariate data on surfaces by exploiting the concept of layering. First, we introduce a new real-time rendering technique and the concept of Decal-Maps, which fills a gap in the literature and allow us to create 2D visual representations such as glyphs that follow the surface geometry. Building on this technique, we propose the layering framework to facilitate the multivariate visualization design on surfaces. The use of this concept and framework allows us to connect and generalize concepts established in flat space, such as 2D maps, to arbitrary surfaces. Decal-maps opens up other new possibilities such as the use of interaction techniques. Here we demonstrate this potential by introducing a new interaction technique that allows us to explore multivariate data and to create customized focus+context visualizations on surfaces. This is achieved by introducing a new category of lenses, Decal-Lenses, which extends the concept of magic-lenses from flat space to general surfaces. Finally, this thesis showcases the process of multivariate visual design and data exploration through a series of examples from several domains such as Medicine and Geology.
曲面上多变量数据的可视化
这项研究建立在多年前引入和讨论的思想的基础上,该思想主要关注单个视图中表面上的多个属性的可视化问题。在这里,我们提出了一个新的视角来解决这个问题,以及一个解决方案,使我们能够设计,可视化和与表面上的多变量数据交互。在多学科方面的基础上,我们提出了一种新的方法,利用分层的概念来可视化表面上的多变量数据。首先,我们引入了一种新的实时渲染技术和贴花图的概念,它填补了文献中的空白,并允许我们创建2D视觉表示,如遵循表面几何形状的字形。在此技术的基础上,我们提出了分层框架来促进曲面上的多变量可视化设计。这个概念和框架的使用使我们能够将平面空间(如2D地图)中建立的概念连接和推广到任意表面。贴花地图开辟了其他新的可能性,例如使用交互技术。在这里,我们通过引入一种新的交互技术来展示这种潜力,该技术允许我们探索多变量数据,并在表面上创建自定义的焦点+上下文可视化。这是通过引入一种新的透镜类别来实现的,贴花透镜,它将神奇透镜的概念从平面空间扩展到一般表面。最后,本文通过医学和地质等多个领域的一系列实例,展示了多元视觉设计和数据挖掘的过程。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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