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Issue No.02 - February (2011 vol.17)

pp: 182-191

Suthambhara Nagaraj , Indian Institute of Science, Malleshwaram, Bangaluru

DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/TVCG.2010.64

ABSTRACT

We introduce a variation density function that profiles the relationship between multiple scalar fields over isosurfaces of a given scalar field. This profile serves as a valuable tool for multifield data exploration because it provides the user with cues to identify interesting isovalues of scalar fields. Existing isosurface-based techniques for scalar data exploration like Reeb graphs, contour spectra, isosurface statistics, etc., study a scalar field in isolation. We argue that the identification of interesting isovalues in a multifield data set should necessarily be based on the interaction between the different fields. We demonstrate the effectiveness of our approach by applying it to explore data from a wide variety of applications.

INDEX TERMS

Isosurface statistics, isocontours, variation density profile, persistence, multifield data.

CITATION

Suthambhara Nagaraj, "Relation-Aware Isosurface Extraction in Multifield Data",

*IEEE Transactions on Visualization & Computer Graphics*, vol.17, no. 2, pp. 182-191, February 2011, doi:10.1109/TVCG.2010.64REFERENCES

- [1] H. Edelsbrunner, J. Harer, V. Natarajan, and V. Pascucci, "Local and Global Comparison of Continuous Functions,"
Proc. IEEE Conf. Visualization '04, pp. 275-280, 2004.- [2] L. Gosink, W. Anderson, J. Bethel, and K. Joy, "Variable Interactions in Query-Driven Visualization,"
IEEE Trans. Visualization and Computer Graphics, vol. 13, no. 6, pp. 1400-1407, Nov./Dec. 2007.- [3] N. Sauber, H. Theisel, and H.-P. Seidel, "Multifield-Graphs: An Approach to Visualizing Correlations in Multifield Scalar Data,"
IEEE Trans. Visualization and Computer Graphics, vol. 12, no. 5, pp. 917-924, Sept./Oct. 2006.- [4] C. Bajaj, V. Pascucci, and D. Schikore, "The Contour Spectrum,"
Proc. IEEE Conf. Visualization '97, pp. 167-173, Oct. 1997.- [5] V. Pekar, R. Wiemker, and D. Hempel, "Fast Detection of Meaningful Isosurfaces for Volume Data Visualization,"
Proc. IEEE Conf. Visualization '01, pp. 223-230, 2001.- [6] S. Tenginakai, J. Lee, and R. Machiraju, "Salient Iso-Surface Detection with Model-Independent Statistical Signatures,"
Proc. IEEE Conf. Visualization '01, pp. 231-238, 2001.- [7] H. Carr, B. Duffy, and B. Denby, "On Histograms and Isosurface Statistics,"
IEEE Trans. Visualization and Computer Graphics, vol. 12, no. 5, pp. 1259-1266, Sept./Oct. 2006.- [8] C.E. Scheidegger, J.M. Schreiner, B. Duffy, H. Carr, and C.T. Silva, "Revisiting Histograms and Isosurface Statistics,"
IEEE Trans. Visualization and Computer Graphics, vol. 14, no. 6, pp. 1659-1666, Nov. 2008.- [9] H. Carr, J. Snoeyink, and U. Axen, "Computing Contour Trees in All Dimensions,"
Proc. 11th Ann. ACM-SIAM Symp. Discrete Algorithms (SODA '00), pp. 918-926, 2000.- [10] V. Pascucci, G. Scorzelli, P.-T. Bremer, and A. Mascarenhas, "Robust Online Computation of Reeb Graphs: Simplicity and Speed,"
ACM Trans. Graphics, vol. 26, no. 3, pp. 58.1-58.9, 2007.- [11] H. Carr, J. Snoeyink, and M. van de Panne, "Simplifying Flexible Isosurfaces Using Local Geometric Measures,"
Proc. IEEE Conf. Visualization '04, pp. 497-504, 2004.- [12] P.K. Agarwal, H. Edelsbrunner, J. Harer, and Y. Wang, "Extreme Elevation on a 2-Manifold,"
Discrete and Computational Geometry, vol. 36, no. 4, pp. 553-572, 2006.- [13] D. Cohen-Steiner, H. Edelsbrunner, and J. Harer, "Extending Persistence Using Poincaré and Lefschetz Duality,"
Foundations of Computational Math., vol. 9, no. 1, pp. 79-103, 2009.- [14] H. Edelsbrunner, D. Letscher, and A. Zomorodian, "Topological Persistence and Simplification,"
Discrete and Computational Geometry, vol. 28, no. 4, pp. 511-533, 2002.- [15] H. Edelsbrunner, D. Morozov, and V. Pascucci, "Persistence-Sensitive Simplification Functions on 2-Manifolds,"
Proc. 22nd Ann. Symp. Computational Geometry, pp. 127-134, 2006.- [16] A. Gyulassy, V. Natarajan, V. Pascucci, P.-T. Bremer, and B. Hamann, "A Topological Approach to Simplification of Three-Dimensional Scalar Functions,"
IEEE Trans. Visualization and Computer Graphics, vol. 12, no. 4, pp. 474-484, Jul./Aug., 2006.- [17] D. Cohen-Steiner, H. Edelsbrunner, and J. Harer, "Stability of Persistence Diagrams,"
Discrete and Computational Geometry, vol. 37, no. 1, pp. 103-120, 2007.- [18] T. Echekki and J.H. Chen, "Direct Numerical Simulation of Autoignition in Nonhomogeneous Hydrogen-Air Mixtures,"
Combustion and Flame, vol. 134, pp. 169-191, 2003.- [19] W.S. Koegler, "Case Study: Application of Feature Tracking to Analysis of Autoignition Simulation Data,"
Proc. IEEE Conf. Visualization '01, pp. 461-464, 2001.- [20] W. Wang, C. Bruyere, and B. Kuo, "Competition Data Set and Description IEEE Visualization Design Contest," http://vis. computer.org/vis2004contestdata.html ., 2004.
- [21] D. Whalen and M.L. Norman, "Competition Data Set and Description IEEE Visualization Design Contest," http://vis. computer.org/VisWeek2008/vis contests.html, 2008.
- [22] A. Rajwade, A. Banerjee, and A. Rangarajan, "Probability Density Estimation Using Isocontours and Isosurfaces: Applications to Information-Theoretic Image Registration,"
IEEE Trans. Pattern Analysis and Machine Intelligence, vol. 31, no. 3, pp. 475-491, Mar. 2009.- [23] S. Bachthaler and D. Weiskopf, "Continuous Scatterplots,"
IEEE Trans. Visualization and Computer Graphics, vol. 14, no. 6, pp. 1428-1435, Nov./Dec. 2008. |