‘Multi View Graphing’: Synchronous Linked Multi Visualization utilising Brushing, Binning and Clustering

................................................................................................................................ 1 Declaration ............................................................................................................................ 2 Copyright .............................................................................................................................. 3 Acknowledgements ............................................................................................................... 4 1.0 Introduction ............................................................................................................... 5 1.1 Problem Domain ...................................................................................................... 5 1.2 Background ............................................................................................................. 9 1.3 Goals ...................................................................................................................... 10 1.4 Organisation .......................................................................................................... 11 2.0 Prior Research ......................................................................................................... 13 2.1 Synchronous Linked Multi Visualization .............................................................. 13 2.1.1 Visualization Styles ........................................................................................ 14 2.1.2 Synchronous Linked Visualization ................................................................. 20 2.2 Data Brushing ........................................................................................................ 22 2.2.1 Brush Parameters ............................................................................................ 23 2.2.2 Brush Shapes................................................................................................... 25 2.3 Data Binning .......................................................................................................... 30 2.3.1 Binning Techniques ........................................................................................ 31 2.4 Data Clustering and Classification ........................................................................ 34 2.4.1 Clustering Algorithms .................................................................................... 35 2.4.3 Presentational Methods ................................................................................... 36 3.0 ‘Multi View Graphing’ ........................................................................................... 39 3.0.1 The Visualization Pipeline .............................................................................. 39 3.1 Synchronous Linked Multiple Visualization ......................................................... 40 3.1.1 Sharing the Data.............................................................................................. 41 3.1.2 Visualization Styles ........................................................................................ 41 3.1.3 Cross Visualization Interaction ....................................................................... 50 3.2 Data Brushing ........................................................................................................ 51 3.2.1 Brush Shapes................................................................................................... 53 3.2.2 Brushing Groups ............................................................................................. 60 3.2.3 Data Visibility ................................................................................................. 61 3.3 Data Binning .......................................................................................................... 62 3.3.1 Grid Based Binning ........................................................................................ 63 3.3.2 Arithmetic Mean Binning Method .................................................................. 64 3.3.2 Density Map Binning Method ........................................................................ 69 3.4 Data Clustering ...................................................................................................... 75 3.4.2 Visual Cues ..................................................................................................... 76 3.4.1 Algorithmic Concepts ..................................................................................... 78 4.0 Test Cases ................................................................................................................. 80 4.1 Lumbar Anterior Root Stimulation Data ............................................................... 80 4.1.1 Goals of Data Exploration .............................................................................. 81 4.1.2 Previous Analysis ........................................................................................... 81 4.1.3 Application of MVG ....................................................................................... 82 4.1.4 Conclusion ...................................................................................................... 92 4.2 WMIC MRI Data ................................................................................................... 93 4.2.1 Goals of Data Exploration .............................................................................. 94 4.2.2 Previous Analysis ........................................................................................... 94 4.2.3 Application of MVG ....................................................................................... 95 4.2.4 Conclusions ................................................................................................... 100 4.3 Hadley Centre Weather Data (UK Met Office) ................................................... 101 4.3.1 Goals of Data Exploration ............................................................................ 102 4.3.2 Application of MVG ..................................................................................... 103 4.3.3 Conclusions ................................................................................................... 109 5.0 Conclusion .............................................................................................................. 110 5.1 Future Work ........................................................................................................ 112 6.0 Bibliography .......................................................................................................... 114 7.0 Appendix A: MVG Overview ............................................................................... 119 A.1 Input File Format ................................................................................................ 119 A.2 Two Dimensional Scatter Plot ............................................................................ 120 A.2.1 General Options ........................................................................................... 120 A.2.2 Data Brushing .............................................................................................. 121 A.2.3 Data Binning ................................................................................................ 124 A.2.4 Data Clustering ............................................................................................ 126 A.3 Three Dimensional Scatter Plot .......................................................................... 127 A.3.1 General Options ........................................................................................... 128 A.3.2 Data Brushing .............................................................................................. 128 A.3. Data Binning .................................................................................................. 130 A.4 Parallel Coordinates ............................................................................................ 132 A.4.1 General Options ........................................................................................... 132 A.4.2 Data Brushing .............................................................................................. 135 A.4.3 Data Binning ................................................................................................ 136 A.5 Star Glyphs ......................................................................................................... 138 A.5.1 Data Brushing .............................................................................................. 138 A.6 Data Grid ............................................................................................................ 140 A.6.1 Brushed Data ................................................................................................ 140 A.6.2 Binned or Clustered Data ............................................................................. 141 A.7 Linked Interaction .............................................................................................. 142 8.0 Appendix B: OpenGL Geometry Lists within MVG ......................................... 144 9.0 Appendix C: Standardised Test Case Questionnaires ....................................... 146