Computational Methods for High-Dimensional Rotations in Data Visualization

Handbook of Statistics

Volumn 24, Issue , 2005, Pages 391-413

  Buja, Andreas ^a   Cook, Dianne ^a   Asimov, Daniel ^a   Hurley, Catherine ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 67649637661     PISSN: 01697161     EISSN: None     Source Type: Book Series    
DOI: 10.1016/S0169-7161(04)24014-7     Document Type: Review

References (33)

1. Asimov D. The grand tour: a tool for viewing multidimensional data. SIAM J. Sci. Statist. Comput. 6 1 (1985) 128-143
2. Asimov D., and Buja A. The grand tour via geodesic interpolation of 2-frames. Visual Data Exploration and Analysis, Symposium on Electronic Imaging Science and Technology (1994), IS&T/SPIE (Soc. Imaging Sci. Technology/Internat. Soc. Optical Engrg.)
3. Bjorck A., and Golub G.H. Numerical methods for computing angles between linear subspaces. Math. Comp. 27 123 (1973) 579-594
4. Buja A., and Asimov D. Grand tour methods: an outline. Proceedings of the 17th Symposium on the Interface. Computing Science and Statistics (1986), Elsevier, Amsterdam 63-67
5. Buja A., Hurley C., and McDonald J.A. A data viewer for multivariate data. Proceedings of the 18th Symposium on the Interface. Computing Science and Statistics (1986), Elsevier, Amsterdam
6. Buja A., Asimov D., Hurley C., and McDonald J.A. Elements of a viewing pipeline for data analysis. In: Cleveland W.S., and McGill M.E. (Eds). Dynamic Graphics for Statistics (1988), Wadsworth, Belmont, CA 277-308
7. Buja A., Cook D., and Swayne D.F. Interactive high-dimensional data visualization. J. Comput. Graph. Statist. 5 (1996) 78-99
8. Buja A., Cook D., Asimov D., and Hurley C. Theory of dynamic projections in high-dimensional data visualization. Submitted for publication, can be downloaded from. www-stat.wharton.upenn.edu/~buja/
9. Carr, D.B., Wegman, E.J., Luo, Q. (1996). ExploreN: design considerations past and present. Technical Report 129. Center for Computational Statistics, George Mason University, Fairfax, VA 22030
10. Conway J.H., Hardin R.H., and Sloane N.J.A. Packing lines, planes, etc.: packings in Grassmannian spaces. J. Experiment. Math. 5 (1996) 139-159
11. Cook D., and Buja A. Manual controls for high-dimensional data projections. J. Comput. Graph. Statist. 6 (1997) 464-480
12. Cook D., and Weisberg S. An Introduction to Regression Graphics (1994), Wiley, New York, NY
13. Cook D., Buja A., Cabrera J., and Hurley H. Grand tour and projection pursuit. J. Comput. Graph. Statist. 2 3 (1995) 225-250
14. Duffin K.L., and Barrett W.A. Spiders: a new user interface for rotation and visualization of N-dimensional point sets. Proceedings Visualization '94 (1994), IEEE Computer Society Press, Los Alamitos, CA 205-211
15. Furnas G.W., and Buja A. Prosection views: dimensional inference through sections and projections. J. Comput. Graph. Statist. 3 (1994) 323-385
16. Golub G.H., and Van Loan C.F. Matrix Computations. second ed (1983), The Johns Hopkins University Press, Baltimore, MD
17. Halmos P.R. Finite-Dimensional Vector Spaces (1958), Springer, New York, NY
18. Halmos P.R. Finite-dimensional Hilbert spaces. Amer. Math. Monthly 77 5 (1970) 457-464
19. Hurley C., and Buja A. Analyzing high-dimensional data with motion graphics. SIAM J. Sci. Statist. Comput. 11 6 (1990) 1193-1211
20. McDonald J.A. Orion I: interactive graphics for data analysis. In: Cleveland W.S., and McGill M.E. (Eds). Dynamic Graphics for Statistics (1982), Wadsworth, Belmont, CA
21. Swayne D.F., Cook D., and Buja A. XGobi: interactive dynamic data visualization in the X window system. J. Comput. Graph. Statist. 7 1 (1998) 113-130
22. Swayne D.F., Temple-Lang D., Buja A., and Cook D. GGobi: evolving from XGobi into an extensible framework for interactive data visualization. J. Comput. Statist. Data Anal (2002)
23. Swayne D.F., Buja A., and Temple-Lang D. Exploratory visual analysis of Graphs in GGobi. Proceedings of the Third Annual Workshop on Distributed Statistical Computing. DSC 2003, Vienna (2003), AASC
24. Symanzik J., Wegman E., Braverman A., and Luo Q. New applications of the image grand tour. Computing Science and Statistics vol. 34 (2002) 500-512
25. Tierney L. Lisp-Stat (1990), Wiley, New York, NY
26. Tukey J.W. Comment on 'Dynamic graphics for data analysis' by Becker et al. Statist. Sci. 2 (1987) 355-395 Also in
27. Tukey J.W. Comment on 'Dynamic graphics for data analysis' by Becker et al. In: Cleveland W.S., and McGill M.E. (Eds). Dynamic Graphics for Statistics (1988), Wadsworth, Belmont, CA
28. Wegman E.J. The grand tour in k-dimensions. Proceedings of the 22nd Symposium on the Interface. Computing Science and Statistics (1991), Elsevier, Amsterdam 127-136
29. Wegman E.J. Visual data mining. Statist. Medicine 22 (2003) 1383-1397 plus 10 color plates
30. Wegman E.J., and Carr D.B. Statistical graphics and visualization. In: Rao C.R. (Ed). Computational Statistics. Handbook of Statistics vol. 9 (1993), Elsevier, Amsterdam 857-958
31. Wegman E.J., and Shen J. Three-dimensional Andrews plots and the grand tour. Computing Science and Statistics vol. 25 (1993) 284-288
32. Wegman E.J., and Solka J.L. On some mathematics for visualizing high dimensional data. Sanhkya Ser. A 64 2 (2002) 429-452
33. Wegman E.J., Poston W.L., and Solka J.L. Image grand tour. Automatic Target Recognition VIII. Proc. SPIE vol. 3371 (1998), SPIE 286-294