LOGIN TO YOUR ACCOUNT

Username
Password
Remember Me
Or use your Academic/Social account:

CREATE AN ACCOUNT

Or use your Academic/Social account:

Congratulations!

You have just completed your registration at OpenAire.

Before you can login to the site, you will need to activate your account. An e-mail will be sent to you with the proper instructions.

Important!

Please note that this site is currently undergoing Beta testing.
Any new content you create is not guaranteed to be present to the final version of the site upon release.

Thank you for your patience,
OpenAire Dev Team.

Close This Message

CREATE AN ACCOUNT

Name:
Username:
Password:
Verify Password:
E-mail:
Verify E-mail:
*All Fields Are Required.
Please Verify You Are Human:
fbtwitterlinkedinvimeoflicker grey 14rssslideshare1
Publisher: Institute of Electrical and Electronics Engineers (IEEE)
Languages: English
Types: Article
Subjects:
Many data sets are sampled on regular lattices in two, three or more dimensions, and recent work has shown that statistical properties of these data sets must take into account the continuity of the underlying physical phenomena. However, the effects of quantization on the statistics have not yet been accounted for. This paper therefore reconciles the previous papers to the underlying mathematical theory, develops a mathematical model of quantized statistics of continuous functions, and proves convergence of geometric approximations to continuous statistics for regular sampling lattices. In addition, the computational cost of various approaches is considered, and recommendations made about when to use each type of statistic.
  • The results below are discovered through our pilot algorithms. Let us know how we are doing!

    • [3] [4] [5] [6] [7] [8] [9] S. Tenginakai, J. Lee, and R. Machiraju, “Salient iso-surface detection with model-independent statistical signatures,” Proceedings of IEEE Visualization, pp. 231-238, 2001.
    • S. Tenginakai and R. Machiraju, “Statistical computation of salient isovalues,” Proceedings of the Symposium on Data Visualisation (VisSym), pp. 19-24, 2002.
    • Avila, K. Martin, R. Machiraju, and J. Lee, “The transfer function bakeoff,” IEEE Computer Graphics and Applications, vol. 21, no. 3, pp.
    • 16-22, May 2001.
    • G. Kindlmann and J. W. Durkin, “Semi-automatic generation of transfer functions for direct volume rendering,” Proceedings of the 1998 IEEE Symposium on Volume Visualization, pp. 79-86, 1998.
    • G. Kindlmann, “Semi-automatic generation of transfer functions for direct volume rendering,” Master's thesis, Cornell University, 1999.
    • G. Kindlmann, R. Whitaker, T. Tasdizen, and T. Mo¨ller, “Curvaturebased transfer functions for direct volume rendering: Methods and applications,” Proceedings of IEEE Visualization 2003, pp. 513-520, October 2003.
    • J. Kniss, G. Kindlmann, and C. D. Hansen, “Interactive volume rendering using multi-dimensional transfer functions and direct manipulation widgets,” in Proceedings of IEEE Visualization, 2001, pp. 255-262, 562.
    • --, “Multidimensional transfer functions for interactive volume rendering,” IEEE Transactions on Visualization and Computer Graphics, vol. 8, no. 3, pp. 270-285, July 2002.
    • C. Lundstro¨m, P. Ljung, and A. Ynnerman, “Local histograms for design of transfer functions in direct volume rendering,” IEEE Transactions on Visualization and Computer Graphics, vol. 12, no. 6, pp. 1570-1579, 2006.
    • [10] C. Bajaj, V. Pascucci, and D. Schikore, “The contour spectrum,” Proceedings of IEEE Visualization, pp. 167-173, 1997.
    • [11] C. L. Bajaj, V. Pascucci, and D. Schikore, “Accelerated isocontouring of scalar fields,” Data Visualization Techniques. New York: Wiley, pp. 31-47, 1999.
    • [12] H.-W. Shen, C. D. Hansen, Y. Livnat, and C. R. Johnson, “Isosurfacing in Span Space with Utmost Efficiency (ISSUE),” in Proceedings of Visualization 1996, 1996, pp. 287-294.
    • [13] I. Fujishiro and Y. Takeshima, “Coherence-sensitive solid fitting,” Computers and Graphics, vol. 26, pp. 417-427, 2002.
    • [14] H. Carr, B. Duffy, and B. Denby, “On histograms and isosurface statistics,” IEEE Transactions on Visualization and Computer Graphics, vol. 12, no. 5, pp. 1259-1266, 2006.
    • [15] C. E. Scheidegger, J. M. Schreiner, B. Duffy, H. Carr, and C. T. Silva, “Revisiting histograms and isosurface statistics,” IEEE Transactions on Visualization and Computer Graphics, vol. 14, no. 6, pp. 1659-1666, 2008.
    • [16] S. Bachthaler and D. Weiskopf, “Continuous scatterplots,” IEEE Transactions on Visualization and Computer Graphics, vol. 14, no. 6, pp. 1428-1435, 2008.
    • [17] H. Federer, Geometric Measure Theory. Springer-Verlag, 1965.
    • [18] F. Morgan, Geometric Measure Theory: A Beginner's Guide. Academic Press, 1988.
    • [19] B. Guo, “Interval set: A volume rendering technique generalizing isosurface extraction,” Proceedings of IEEE Visualization, pp. 3-10, 1995.
    • [20] I. Fujishiro, Y. Maeda, and H. Sato, “Interval volume: A solid fitting technique for volumetric data display and analysis,” in Proceedings IEEE Visualization. Los Alamitos, CA, USA: IEEE Computer Society, 1995, pp. 151-158.
    • [21] H. Carr, T. Theußl, and T. Mo¨ller, “Isosurfaces on optimal regular samples,” in VISSYM '03: Proceedings of the Symposium on Data Visualisation 2003. Aire-la-Ville, Switzerland, Switzerland: Eurographics Association, 2003, pp. 39-48.
    • [22] T. Itoh and K. Koyamada, “Isosurface generation by using extrema graphs,” in Proceedings of the IEEE Conference on Visualization, pp. 77-83, 1994.
    • [23] M. Khoury and R. Wenger, “On the fractal dimension of isosurfaces,” IEEE Transactions on Visualization and Computer Graphics, vol. 16, no. 6, pp. 1198-1205, Nov.-Dec. 2010.
    • [24] A. van Gelder and J. Wilhelms, “Topological considerations in isosurface generation,” ACM Transactions on Graphics, vol. 13, pp. 337-375, 1994.
    • [25] W. E. Lorensen and H. E. Cline, “Marching cubes: a high resolution 3D surface construction algorithm,” in Proceedings of the SIGGRAPH Conference on Computer Graphics and Interactive Techniques, pp. 163- 169, 1987.
    • [26] T. S. Newman and H. Yi, “A survey of the Marching Cubes algorithm,” Computers And Graphics, pp. 854-879, 2006.
    • [27] S. R. Marschner and R. J. Lobb, “An evaluation of reconstruction filters for volume rendering,” in Proceedings of the IEEE Conference on Visualization, pp. 100-107, 1994.
  • No related research data.
  • No similar publications.

Share - Bookmark

Cite this article