• 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Information visualization >Properties of normalized radial visualizations
【24h】

Properties of normalized radial visualizations

机译：归一化径向可视化的属性

获取原文
获取原文并翻译 | 示例
           
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

This paper defines a class of normalized radial visualizations (NRVs) that includes the RadViz mapping onto the two-dimensional unit disk. An NRV maps high-dimensional records into lower dimensional space, where records' images are convex combinations of the dimensions (called dimensional anchors) laid out in two dimensions as labels on a circle and in higher dimensions on the surface of a hypersphere. As radial visualizations have evolved, conjectures have been proposed for invariants, such as lines mapping to lines, and convex sets to convex sets. Some have been informally proven for RadViz. We formally establish these properties for all NRVs and illustrate them using RadViz. An extensive theory of Parallel Coordinates has been developed elsewhere with great benefit to the visualization community. Our theory should provide similar benefits for radial visualization users. We show that an NRV is the composition of a perspective and an affine transformation. This projective transformation characterization leads to a number of properties including line, point ordering and convexity invariance. Knowledge of these properties suggests that the visual existence of structure in the data can guide a visualization researcher in further productive exploration of the data. We show the established properties hold regardless of whether or not the dimensional anchors lie on the circle or the hypersphere. These insights also suggest directions for future NRV work, such as rotational preprocessing to separate data in RadViz and NRVs for better cluster visualization.
机译：本文定义了一类归一化径向可视化（NRV），其中包括RadViz映射到二维单位磁盘上。 NRV将高维记录映射到低维空间，其中记录的图像是维的凸组合（称为维锚），二维放置在圆上作为标签，而在超球面则放置在较高维上。随着径向可视化的发展，已经提出了不变量的猜想，例如将线映射到线，将凸集映射到凸集。有些已被RadViz非正式验证。我们正式为所有NRV建立这些属性，并使用RadViz对其进行说明。在其他地方已经开发了广泛的平行坐标理论，这对可视化社区很有帮助。我们的理论应该为径向可视化用户提供类似的好处。我们证明NRV是透视图和仿射变换的组成。这种投影变换特征导致许多特性，包括线，点顺序和凸不变性。对这些属性的了解表明，数据中结构的视觉存在可以指导可视化研究人员进一步有效地探索数据。我们将显示已建立的属性成立，而与尺寸锚点是否位于圆或超球面上无关。这些见解还为将来的NRV工作提出了方向，例如旋转预处理以分离RadViz和NRV中的数据以更好地进行群集可视化。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号