Overview and State-of-the-Art of Uncertainty Visualization

The goal of visualization is to effectively and accurately communicate data. Visualization research has often overlooked the errors and uncertainty which accompany the scientific process and describe key characteristics used to fully understand the data. The lack of these representations can be attributed, in part, to the inherent difficulty in defining, characterizing, and controlling this uncertainty, and in part, to the difficulty in including additional visual metaphors in a well designed, potent display. However, the exclusion of this information cripples the use of visualization as a decision making tool due to the fact that the display is no longer a true representation of the data. This systematic omission of uncertainty commands fundamental research within the visualization community to address, integrate, and expect uncertainty information. In this chapter, we outline sources and models of uncertainty, give an overview of the state-of-the-art, provide general guidelines, outline small exemplary applications, and finally, discuss open problems in uncertainty visualization.

[1]  Alex T. Pang,et al.  Glyphs for Visualizing Uncertainty in Vector Fields , 1996, IEEE Trans. Vis. Comput. Graph..

[2]  Victoria Interrante,et al.  Weaving Versus Blending: a quantitative assessment of the information carrying capacities of two alternative methods for conveying multivariate data with color , 2007, IEEE Trans. Vis. Comput. Graph..

[3]  Timothy S. Newman,et al.  On visualizing uncertainty in volumetric data: techniques and their evaluation , 2004, J. Vis. Lang. Comput..

[4]  Thomas Strothotte,et al.  Visualising ancient architecture using animated line drawings , 1998, Proceedings. 1998 IEEE Conference on Information Visualization. An International Conference on Computer Visualization and Graphics (Cat. No.98TB100246).

[5]  Victoria Interrante,et al.  Harnessing natural textures for multivariate visualization , 2000, IEEE Computer Graphics and Applications.

[6]  M. Sheelagh T. Carpendale,et al.  Exploration of uncertainty in bidirectional vector fields , 2008, Electronic Imaging.

[7]  Paul K J Han,et al.  Communicating the Uncertainty of Harms and Benefits of Medical Interventions , 2007, Medical decision making : an international journal of the Society for Medical Decision Making.

[8]  Nahum D. Gershon,et al.  Visualization of fuzzy data using generalized animation , 1992, Proceedings Visualization '92.

[9]  Ross Brown,et al.  A Spreadsheet Approach to Facilitate Visualization of Uncertainty in Information , 2008, IEEE Transactions on Visualization and Computer Graphics.

[10]  Andrew Mercer,et al.  Noodles: A Tool for Visualization of Numerical Weather Model Ensemble Uncertainty , 2010, IEEE Transactions on Visualization and Computer Graphics.

[11]  Derek K. Jones,et al.  Determining and visualizing uncertainty in estimates of fiber orientation from diffusion tensor MRI , 2003, Magnetic resonance in medicine.

[12]  Hans-Christian Hege,et al.  Tuner: Principled Parameter Finding for Image Segmentation Algorithms Using Visual Response Surface Exploration , 2011, IEEE Transactions on Visualization and Computer Graphics.

[13]  Ivan Viola,et al.  Interactive illustrative visualization of hierarchical volume data , 2010, Graphics Interface.

[14]  Valerio Pascucci,et al.  Ensemble-Vis: A Framework for the Statistical Visualization of Ensemble Data , 2009, 2009 IEEE International Conference on Data Mining Workshops.

[15]  Helwig Hauser,et al.  Visualization of Multi‐Variate Scientific Data , 2009, Comput. Graph. Forum.

[16]  Kwan-Liu Ma,et al.  Multiple Uncertainties in Time-Variant Cosmological Particle Data , 2008, 2008 IEEE Pacific Visualization Symposium.

[17]  John W. Tukey,et al.  Exploratory Data Analysis. , 1979 .

[18]  David J. Duke,et al.  Uncertainty visualization: why might it fail? , 2009, CHI Extended Abstracts.

[19]  Gregory G. Brown,et al.  Prefrontal, Parietal, and Temporal Cortex Networks Underlie Decision-Making in the Presence of Uncertainty , 2001, NeuroImage.

[20]  Leonidas J. Guibas,et al.  Uncertainty and Variability in Point Cloud Surface Data , 2004, PBG.

[21]  Robert J. Moorhead,et al.  A User Study to Compare Four Uncertainty Visualization Methods for 1D and 2D Datasets , 2009, IEEE Transactions on Visualization and Computer Graphics.

[22]  Thomas Strothotte,et al.  Virtual Reconstruction of Medieval Architecture , 1999, Eurographics.

[23]  Jacques Maître Bertin (Jacques) Sémiologie graphique. Les diagrammes. Les réseaux. Les cartes , 1968 .

[24]  Hans-Christian Hege,et al.  Probabilistic Marching Cubes , 2011, Comput. Graph. Forum.

[25]  Max A Viergever,et al.  Display of fused images: methods, interpretation, and diagnostic improvements. , 2003, Seminars in nuclear medicine.

[26]  Jon Cohen,et al.  The Sectioned Density Plot , 2006 .

[27]  Ken Brodlie,et al.  Contouring with Uncertainty , 2008, TPCG.

[28]  Alex T. Pang,et al.  Visualizing Geometric Uncertainty of Surface Interpolants , 1996, Graphics Interface.

[29]  David P. Doane,et al.  Using Beam and Fulcrum Displays to Explore Data , 2000 .

[30]  Edward R. Tufte,et al.  The Visual Display of Quantitative Information , 1986 .

[31]  Pascal Mamassian,et al.  Evaluation of Objective Uncertainty in the Visual System , 2009, PLoS Comput. Biol..

[32]  Mary Czerwinski,et al.  CandidTree: visualizing structural uncertainty in similar hierarchies , 2007 .

[33]  Matthew O. Ward,et al.  Hierarchical parallel coordinates for exploration of large datasets , 1999, Proceedings Visualization '99 (Cat. No.99CB37067).

[34]  Don McNeil,et al.  Can the box plot be improved , 2005 .

[35]  Joe Michael Kniss,et al.  Statistically quantitative volume visualization , 2005, VIS 05. IEEE Visualization, 2005..

[36]  Jock D. Mackinlay,et al.  Visualizing data with bounded uncertainty , 2002, IEEE Symposium on Information Visualization, 2002. INFOVIS 2002..

[37]  Robert S. Laramee,et al.  Uncertainty Visualization Methods in Isosurface Rendering , 2003, Eurographics.

[38]  Daniel Weiskopf,et al.  Texture-based visualization of uncertainty in flow fields , 2005, VIS 05. IEEE Visualization, 2005..

[39]  Mark Gahegan,et al.  A typology for visualizing uncertainty , 2005, IS&T/SPIE Electronic Imaging.

[40]  Alex T. Pang,et al.  Visualizing scalar volumetric data with uncertainty , 2002, Comput. Graph..

[41]  M. Sheelagh T. Carpendale,et al.  Visualizing Temporal Uncertainty in 3D Virtual Reconstructions , 2005, VAST.

[42]  Lane Harrison,et al.  Interactive detection of network anomalies via coordinated multiple views , 2010, VizSec '10.

[43]  Penny Rheingans,et al.  Point-based probabilistic surfaces to show surface uncertainty , 2004, IEEE Transactions on Visualization and Computer Graphics.

[44]  David L. Kao,et al.  Visualization techniques for spatial probability density function data , 2004, Data Sci. J..

[45]  Jonathan C. Roberts,et al.  Visual comparison for information visualization , 2011, Inf. Vis..

[46]  Mark Gahegan,et al.  Visualizing Geospatial Information Uncertainty: What We Know and What We Need to Know , 2005 .

[47]  B. Iglewicz,et al.  Bivariate extensions of the boxplot , 1992 .

[48]  Ross T. Whitaker,et al.  Curvature-based transfer functions for direct volume rendering: methods and applications , 2003, IEEE Visualization, 2003. VIS 2003..

[49]  Bernard Muschielok,et al.  The 4MOST instrument concept overview , 2014, Astronomical Telescopes and Instrumentation.

[50]  Joe Michael Kniss,et al.  Multidimensional Transfer Functions for Interactive Volume Rendering , 2002, IEEE Trans. Vis. Comput. Graph..

[51]  Alex T. Pang,et al.  Approaches to uncertainty visualization , 1996, The Visual Computer.

[52]  P. Rheingans,et al.  Multivariate glyphs for multi-object clusters , 2005, IEEE Symposium on Information Visualization, 2005. INFOVIS 2005..

[53]  Alex T. Pang,et al.  UFLOW: visualizing uncertainty in fluid flow , 1996, Proceedings of Seventh Annual IEEE Visualization '96.

[54]  Victoria Interrante,et al.  Effectively visualizing multi-valued flow data using color and texture , 2003, IEEE Visualization, 2003. VIS 2003..

[55]  John J. Bertin,et al.  The semiology of graphics , 1983 .

[56]  Helen Couclelis,et al.  The Certainty of Uncertainty: GIS and the Limits of Geographic Knowledge , 2003 .

[57]  Chi-Wing Fu,et al.  Visualizing Large-Scale Uncertainty in Astrophysical Data , 2007, IEEE Transactions on Visualization and Computer Graphics.

[58]  James R. Miller,et al.  Attribute Blocks: Visualizing Multiple Continuously Defined Attributes , 2007, IEEE Computer Graphics and Applications.

[59]  Yoav Benjamini,et al.  Opening the Box of a Boxplot , 1988 .

[60]  Hans-Christian Hege,et al.  Positional Uncertainty of Isocontours: Condition Analysis and Probabilistic Measures , 2011, IEEE Transactions on Visualization and Computer Graphics.

[61]  Suresh K. Lodha,et al.  LISTEN: sounding uncertainty visualization , 1996, Proceedings of Seventh Annual IEEE Visualization '96.

[62]  Maria Riveiro,et al.  Evaluation of uncertainty visualization techniques for information fusion , 2007, 2007 10th International Conference on Information Fusion.

[63]  Anders Ynnerman,et al.  Uncertainty Visualization in Medical Volume Rendering Using Probabilistic Animation , 2007, IEEE Transactions on Visualization and Computer Graphics.

[64]  Jacques Droulez,et al.  Visualization of uncertain scalar data fields using color scales and perceptually adapted noise , 2011, APGV '11.

[65]  Jennifer L. Dungan,et al.  Visualizing 2D probability distributions from EOS satellite image-derived data sets: a case study , 2001, Proceedings Visualization, 2001. VIS '01..

[66]  Jennifer L. Dungan,et al.  Visualizing Spatial Distribution Data Sets , 2003, VisSym.

[67]  David Feng,et al.  Matching Visual Saliency to Confidence in Plots of Uncertain Data , 2010, IEEE Transactions on Visualization and Computer Graphics.

[68]  Wendell A. Nuss,et al.  Data quality issues in visualization , 1994, Electronic Imaging.

[69]  David C. Hoaglin,et al.  Some Implementations of the Boxplot , 1989 .

[70]  Eduard Gröller,et al.  Comparative Visualization for Parameter Studies of Dataset Series , 2010, IEEE Transactions on Visualization and Computer Graphics.

[71]  Björn Zehner,et al.  Visualization of gridded scalar data with uncertainty in geosciences , 2010, Comput. Geosci..

[72]  J. Tukey,et al.  Variations of Box Plots , 1978 .

[73]  Ghassan Hamarneh,et al.  Exploration and Visualization of Segmentation Uncertainty using Shape and Appearance Prior Information , 2010, IEEE Transactions on Visualization and Computer Graphics.

[74]  Chris R. Johnson Top Scientific Visualization Research Problems , 2004, IEEE Computer Graphics and Applications.

[75]  Michael F. Goodchild,et al.  Visualizing spatial data uncertainty using animation , 1997 .

[76]  Thomas Strothotte,et al.  VISUALIZING UNCERTAINTY IN VIRTUAL RECONSTRUCTIONS , 2001 .

[77]  Suresh K. Lodha,et al.  VERITY VISUALIZATION: VISUAL MAPPINGS , 1995 .

[78]  J. Hintze,et al.  Violin plots : A box plot-density trace synergism , 1998 .

[79]  William Gould,et al.  Rangefinder Box Plots: A Note , 1987 .

[80]  Ghassan Hamarneh,et al.  ProbExplorer: Uncertainty‐guided Exploration and Editing of Probabilistic Medical Image Segmentation , 2010, Comput. Graph. Forum.

[81]  Uncertainty-Aware Guided Volume Segmentation , 2010, IEEE Transactions on Visualization and Computer Graphics.

[82]  Paul Rosen,et al.  From Quantification to Visualization: A Taxonomy of Uncertainty Visualization Approaches , 2011, WoCoUQ.

[83]  Jennifer L. Dungan,et al.  Visualizing spatially varying distribution data , 2002, Proceedings Sixth International Conference on Information Visualisation.

[84]  Robert M. Edsall,et al.  The Influence of Uncertainty Visualization on Decision Making: An Empirical Evaluation , 2006 .

[85]  Jacques Bertin,et al.  Semiologie graphique : les diagrammes les réseaux, les cartes , 1969 .

[86]  Penny Rheingans,et al.  Procedural annotation of uncertain information , 2000 .

[87]  Greg S. Schmidt,et al.  Multidimensional visual representations for underwater environmental uncertainty , 2004, IEEE Computer Graphics and Applications.

[88]  John R. Douceur,et al.  The Sybil Attack , 2002, IPTPS.

[89]  Leland Wilkinson The Grammar of Graphics , 1999 .

[90]  J. Dungan,et al.  Visualizing Distributions from Multi-Return Lidar Data to Understand Forest Structure , 2005 .

[91]  M. Sheelagh T. Carpendale,et al.  Theoretical analysis of uncertainty visualizations , 2006, Electronic Imaging.

[92]  Georgios Sakas,et al.  Data Intermixing and Multi‐volume Rendering , 1999, Comput. Graph. Forum.

[93]  Chris R. Johnson,et al.  A Next Step: Visualizing Errors and Uncertainty , 2003, IEEE Computer Graphics and Applications.

[94]  P. Rousseeuw,et al.  The Bagplot: A Bivariate Boxplot , 1999 .

[95]  Hans-Georg Pagendarm,et al.  Comparative Visualization - Approaches and Examples , 1994 .

[96]  Joe Michael Kniss,et al.  Visualizing Summary Statistics and Uncertainty , 2010, Comput. Graph. Forum.

[97]  Beat Kleiner,et al.  Graphical Methods for Data Analysis , 1983 .

[98]  Hans Hagen,et al.  Methods for Presenting Statistical Information: The Box Plot , 2006, VLUDS.

[99]  Kenneth W. Haemer Range-Bar Charts , 1948 .

[100]  Raj Varma Kommaraju,et al.  Metrics for Uncertainty Analysis and Visualization of Diffusion Tensor Images , 2010, MIAR.

[101]  Hans-Christian Hege,et al.  Uncertain 2D Vector Field Topology , 2010, Comput. Graph. Forum.

[102]  Weichao Wang,et al.  Sybil Attack Detection through Global Topology Pattern Visualization , 2011, Inf. Vis..

[103]  Colin Ware,et al.  Information Visualization: Perception for Design , 2000 .

[104]  Warren W. Esty,et al.  The Box-Percentile Plot , 2003 .

[105]  Phattrawan Tongkumchum Two-dimensional box plot , 2005 .