Star Glyph Insets for Overview Preservation of Multivariate Data

Dominik Jäckle, J. Fuchs, D. Keim
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Furthermore, we demonstrate the usefulness of our approach in two use cases: The spatial exploration of multivariate crime data collected in San Francisco and the exploration of multivariate whisky data. Introduction Multivariate data accompanies us in our day-to-day life. Prominent examples represent data from healthcare, nutrition, crime reports, or social networks, among others. We typically use spatial representations in order to determine patterns and correlations among dimensions. An example represents the exploration of a huge set of malt whiskies: Each whisky is assigned to the geo-location of its distillery and has several diverse taste categories. The task can be either to seek correlations between particular taste categories and geo-locations, or to find patterns of whiskies for certain taste categories. The latter case can be achieved by applying dimension reduction methods which project the data to a lower dimensional space. When exploring such vast amounts of spatial data, at some point we use zooming and panning interactions to focus on certain regions of interest to obtain a detailed view. However, due to the limited size of the display screen, zooming and panning interactions lead to an inevitable loss of the contextual overview. Overview can be regained by zooming out resulting in a continuous trade-off between overview and detail. Jerding and Stasko argue that the limited size of the display makes it difficult to create efficient global views [25]. Existing Overview-and-Detail and Focus-plus-Context approaches provide comprehensive methods that typically operate in image space. Overview-and-Detail techniques attach a second viewport to the visualization. Although overview is provided, the user is forced to split his attention, which can result in increased cognitive load [19]. In contrast, Focus-plus-Context techniques integrate overview and detail, but use image-based distortion which restricts the interface by means of zooming levels [36]. In this paper, we propose a novel data-driven Off-Screen visualization technique for spatial multivariate data. More specifically, we contribute a dynamic integration of star glyphs as efficient visual insets for the representation of multivariate off-screen data objects. To do so, we augment the viewport with a dedicated border region including star glyph insets. A result of our approach is depicted in Figure 1. The remainder of this paper is organized as follows: First, we discuss related work. Then, we introduce the design of our approach and show the usefulness in two use cases, before we conclude and outline future work. Related Work In order to preserve the overview of multivariate data during exploration, we need to consider the potentials of both multivariate data visualization and overview preserving visualization. Following, we discuss related work of these areas. Multivariate Data Visualization Visual analysis of multivariate data has the objective of allowing the user to identify correlations and patterns among dimensions. Dimensions in multivariate data are not supposed to be considered independently but simultaneously, because they typically provide combined information that contributes to the overall understanding of the data [33]. Various techniques have been presented to visualize multivariate data. Prominent examples of geometric projections are parallel coordinates [22], Andrew curves[1], or star coordinates [27]. Pixel-oriented techniques include recursive patterns [28] and pixel barcharts [29]. However, aforementioned techniques are not optimal to be integrated as space efficient inset giving a coarse overview of dimensions; glyph-based techniques such as Chernoff faces [7] or star glyphs [5] meet these requirements. Integration of Overview and Detail In order to allow efficient navigation and provide support for data analysis, the integrated preservation of the contextual overview is crucial. In this paper, the term context refers to the overview of the multivariate nature of the data including information about location and in some cases topology of the data. Following, we give a brief overview of integrated techniques, namely Focus-plus-Context and Off-screen Visualization techniques. Distortion-oriented Techniques The pioneering approach of Apperley et al. [2] provides a maximum focus region while all surrounding areas are distorted. Variations of this approach apply the technique for example to one-dimensional visualizations [32, 39]. Furnas [14] further introduced the degree-of-interest (DOI) function as basis for the wellknown Focus-plus-Context systems [40, 4]. Additional Focus-","PeriodicalId":89305,"journal":{"name":"Visualization and data analysis","volume":"25 1","pages":"1-9"},"PeriodicalIF":0.0000,"publicationDate":"2016-02-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"5","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Visualization and data analysis","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2352/ISSN.2470-1173.2016.1.VDA-506","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 5

Abstract

Exploring vast spatial datasets often requires to drill down in order to inspect details, thus leading to a loss of contextual overview. An additional challenge rises if the visualized data is of multivariate nature, which we encounter in various domains such as healthcare, nutrition, crime reports, or social networks. Existing overview-plus-detail approaches do provide context but only limited support for multivariate data and often suffer from distortion. In this paper, we dynamically integrate star glyphs as insets into the spatial representation of multivariate data thus providing overview while inspecting details. Star glyphs pose an efficient and space saving method to visualize multivariate data, which qualifies them as integrated data representative. Furthermore, we demonstrate the usefulness of our approach in two use cases: The spatial exploration of multivariate crime data collected in San Francisco and the exploration of multivariate whisky data. Introduction Multivariate data accompanies us in our day-to-day life. Prominent examples represent data from healthcare, nutrition, crime reports, or social networks, among others. We typically use spatial representations in order to determine patterns and correlations among dimensions. An example represents the exploration of a huge set of malt whiskies: Each whisky is assigned to the geo-location of its distillery and has several diverse taste categories. The task can be either to seek correlations between particular taste categories and geo-locations, or to find patterns of whiskies for certain taste categories. The latter case can be achieved by applying dimension reduction methods which project the data to a lower dimensional space. When exploring such vast amounts of spatial data, at some point we use zooming and panning interactions to focus on certain regions of interest to obtain a detailed view. However, due to the limited size of the display screen, zooming and panning interactions lead to an inevitable loss of the contextual overview. Overview can be regained by zooming out resulting in a continuous trade-off between overview and detail. Jerding and Stasko argue that the limited size of the display makes it difficult to create efficient global views [25]. Existing Overview-and-Detail and Focus-plus-Context approaches provide comprehensive methods that typically operate in image space. Overview-and-Detail techniques attach a second viewport to the visualization. Although overview is provided, the user is forced to split his attention, which can result in increased cognitive load [19]. In contrast, Focus-plus-Context techniques integrate overview and detail, but use image-based distortion which restricts the interface by means of zooming levels [36]. In this paper, we propose a novel data-driven Off-Screen visualization technique for spatial multivariate data. More specifically, we contribute a dynamic integration of star glyphs as efficient visual insets for the representation of multivariate off-screen data objects. To do so, we augment the viewport with a dedicated border region including star glyph insets. A result of our approach is depicted in Figure 1. The remainder of this paper is organized as follows: First, we discuss related work. Then, we introduce the design of our approach and show the usefulness in two use cases, before we conclude and outline future work. Related Work In order to preserve the overview of multivariate data during exploration, we need to consider the potentials of both multivariate data visualization and overview preserving visualization. Following, we discuss related work of these areas. Multivariate Data Visualization Visual analysis of multivariate data has the objective of allowing the user to identify correlations and patterns among dimensions. Dimensions in multivariate data are not supposed to be considered independently but simultaneously, because they typically provide combined information that contributes to the overall understanding of the data [33]. Various techniques have been presented to visualize multivariate data. Prominent examples of geometric projections are parallel coordinates [22], Andrew curves[1], or star coordinates [27]. Pixel-oriented techniques include recursive patterns [28] and pixel barcharts [29]. However, aforementioned techniques are not optimal to be integrated as space efficient inset giving a coarse overview of dimensions; glyph-based techniques such as Chernoff faces [7] or star glyphs [5] meet these requirements. Integration of Overview and Detail In order to allow efficient navigation and provide support for data analysis, the integrated preservation of the contextual overview is crucial. In this paper, the term context refers to the overview of the multivariate nature of the data including information about location and in some cases topology of the data. Following, we give a brief overview of integrated techniques, namely Focus-plus-Context and Off-screen Visualization techniques. Distortion-oriented Techniques The pioneering approach of Apperley et al. [2] provides a maximum focus region while all surrounding areas are distorted. Variations of this approach apply the technique for example to one-dimensional visualizations [32, 39]. Furnas [14] further introduced the degree-of-interest (DOI) function as basis for the wellknown Focus-plus-Context systems [40, 4]. Additional Focus-
星形符号插图概述保存多变量数据
探索庞大的空间数据集通常需要深入挖掘以检查细节,从而导致丢失上下文概览。如果可视化数据具有多变量性质,我们会在医疗保健、营养、犯罪报告或社交网络等不同领域遇到这种情况,那么就会面临额外的挑战。现有的概述加细节方法确实提供了上下文,但对多变量数据的支持有限,而且常常存在失真。在本文中,我们动态地将星形符号作为插页集成到多元数据的空间表示中,从而在检查细节的同时提供概述。星形符号提供了一种高效且节省空间的多变量数据可视化方法,使其成为一种集成的数据表示形式。此外,我们在两个用例中展示了我们的方法的实用性:在旧金山收集的多变量犯罪数据的空间探索和多变量威士忌数据的探索。多元数据伴随着我们的日常生活。突出的例子是来自医疗保健、营养、犯罪报告或社交网络等方面的数据。我们通常使用空间表示来确定维度之间的模式和相关性。一个例子代表了对大量麦芽威士忌的探索:每种威士忌都被分配到其酿酒厂的地理位置,并有几种不同的口味类别。这项任务可以是寻找特定口味类别和地理位置之间的相关性,也可以是找到特定口味类别的威士忌模式。后一种情况可以通过应用降维方法来实现,降维方法将数据投影到较低维空间。当探索如此大量的空间数据时,在某些时候,我们使用缩放和平移交互来聚焦于某些感兴趣的区域,以获得详细的视图。然而,由于显示屏的尺寸有限,缩放和平移交互不可避免地会导致上下文概览的丢失。可以通过缩小总览和详细信息之间的持续权衡来重新获得总览。Jerding和Stasko认为,显示器的尺寸有限,很难创建有效的全局视图。现有的Overview-and-Detail和Focus-plus-Context方法提供了通常在图像空间中操作的综合方法。概述和细节技术为可视化附加了第二个视口。虽然提供了概览,但用户被迫分散注意力,这可能导致认知负荷增加[19]。相比之下,Focus-plus-Context技术集成了概述和细节,但使用基于图像的失真,通过缩放级别[36]限制了界面。在本文中,我们提出了一种新的数据驱动的空间多元数据的屏幕外可视化技术。更具体地说,我们提供了星形符号的动态集成,作为表示多变量屏幕外数据对象的有效视觉插入。为了做到这一点,我们用一个专用的边界区域来增强视口,其中包括星形符号的插入。我们的方法的结果如图1所示。本文的其余部分组织如下:首先,我们讨论了相关工作。然后,在我们总结和概述未来的工作之前,我们将介绍我们的方法的设计,并在两个用例中展示其有用性。为了在勘探过程中保留多变量数据的概述,我们需要考虑多变量数据可视化和概述保存可视化的潜力。下面,我们将讨论这些领域的相关工作。多变量数据可视化多变量数据的可视化分析的目标是允许用户识别维度之间的相关性和模式。多元数据中的维度不应该单独考虑,而应该同时考虑,因为它们通常提供有助于整体理解数据[33]的组合信息。已经提出了各种技术来可视化多变量数据。几何投影的突出例子是平行坐标[22],安德鲁曲线[1],或星形坐标[27]。面向像素的技术包括递归模式[28]和像素条形图[29]。然而,前面提到的技术并不是最理想的,不能集成为空间高效的插入,给出了维度的粗略概述;基于字形的技术,如切尔诺夫面[7]或星形[5]满足这些要求。为了实现有效的导航并为数据分析提供支持,集成保存上下文概览是至关重要的。在本文中,术语上下文指的是对数据的多变量性质的概述,包括关于位置的信息,在某些情况下还包括数据的拓扑结构。 下面,我们简要概述了集成技术,即焦点加上下文和屏幕外可视化技术。Apperley等人的开创性方法提供了一个最大的焦点区域,而所有周围区域都是扭曲的。这种方法的变体将该技术应用于一维可视化[32,39]。Furnas[14]进一步引入了兴趣度(DOI)函数作为著名的Focus-plus-Context系统的基础[40,4]。额外的关注,
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