Orthographic Star Coordinates

被引:36
作者
Lehmann, Dirk J. [1 ]
Theisel, Holger [1 ]
机构
[1] Univ Magdeburg, Dept Simulat & Graph, D-39106 Magdeburg, Germany
关键词
Start plot; multivariate visualization; visual analytics;
D O I
10.1109/TVCG.2013.182
中图分类号
TP31 [计算机软件];
学科分类号
081202 ; 0835 ;
摘要
Star coordinates is a popular projection technique from an nD data space to a 2D/3D visualization domain. It is defined by setting n coordinate axes in the visualization domain. Since it generally defines an affine projection, strong distortions can occur: an nD sphere can be mapped to an ellipse of arbitrary size and aspect ratio. We propose to restrict star coordinates to orthographic projections which map an nD sphere of radius r to a 2D circle of radius r. We achieve this by formulating conditions for the coordinate axes to define orthographic projections, and by running a repeated non-linear optimization in the background of every modification of the coordinate axes. This way, we define a number of orthographic interaction concepts as well as orthographic data tour sequences: a scatterplot tour, a principle component tour, and a grand tour. All concepts are illustrated and evaluated with synthetic and real data.
引用
收藏
页码:2615 / 2624
页数:10
相关论文
共 27 条
  • [1] Asimov D., The grand tour: A tool for viewing multidimensional data, Journal on Scientific and Statistical Computing, 6, 1, pp. 128-143, (1985)
  • [2] Asuncion A., Newman D.J., UCI Machine Learning Repository, (2007)
  • [3] Bordignon A.L., Castro R., Lopes H., Lewiner T., Tavares G., Exploratory visualization based on multidimensional transfer functions and star coordinates, Brazilian Symposium of Computer Graphic and Image Processing, pp. 273-280, (2006)
  • [4] Cook D., Buja A., Cabreta J., Hurley C., Grand tour and projection pursuit, Journal of Computational and Statistical Computing, 4, 3, pp. 155-172, (1995)
  • [5] Daniels K.M., Grinstein G.G., Russell A., Glidden M., Properties of normalized radial visualizations, Information Visualization, 11, 4, pp. 273-300, (2012)
  • [6] Di Caro L., Frias-Martinez V., Frias-Martinez E., Analyzing the role of dimension arrangement for data visualization in RadViz, Proceedings of the 14th Pacific-Asia Conference on Advances in Knowledge Discovery and Data Mining-Volume Part II, pp. 125-132, (2010)
  • [7] Duda R.O., Hart P.E., Stork D.G., Pattern Classification (2nd Edition), (2000)
  • [8] Farin G., Curves and Surfaces for CAGD: A Practical Guide, (2002)
  • [9] Freedman D., Statistical Models: Theory and Practice, (2005)
  • [10] Friedman J.H., Exploratory projection pursuit, Journal of the American Statistical Association, 82, 397, pp. 249-266, (1987)