Detection and visualization of defects in 3D unstructured models of nematic liquid crystals

IEEE Transactions on Visualization and Computer Graphics

Volumn 12, Issue 5, 2006, Pages 1045-1051

  Mehta, Ketan ^b,c   Jankun Kelly, T J ^a,d  

^a IEEE

^b Vital Images   (United States)

^c MISSISSIPPI STATE UNIVERSITY   (United States)

^d MISSISSIPPI STATE UNIVERSITY   (United States)

Author keywords

Defects; Disclination; Feature extraction; Nematic liquid crystal; Scientific visualization; Unstructured grid

Indexed keywords

SCIENTIFIC VISUALIZATION; UNSTRUCTURED GRID;

ALGORITHMS; DEFECTS; FEATURE EXTRACTION; MATHEMATICAL MODELS; SUBSTRATES;

NEMATIC LIQUID CRYSTALS;

EID: 33845619840     PISSN: 10772626     EISSN: None     Source Type: Journal    
DOI: 10.1109/TVCG.2006.133     Document Type: Conference Paper

References (34)

1. J. Anderson, P. Watson, and P. J. Bos. Comparisons of the vector method and tensor method for simulating liquid crystal devices. Liquid Crystals, 28:109-115, 2001.
2. J. G. Cleary. Analysis of an algorithm for finding nearest neighbors in euclidean space. ACM Trans. Math. Softw., 5(2): 183-192, 1979.
3. P. J. Collings. Liquid Crystals: Nature's Delicate Phase of Matter. Priceton University Press, Princeton, NJ, second edition, 2002.
4. P. G. de Gennes. The Physics of Liquid Crystals. Oxford University Press, 1974.
5. T. Delmarcelle and L. Hesselink. Visualizing second-order tensor fields with hyperstreamlines. IEEE Comput. Graph. Appl., 13(4):25-33, 1993.
6. J. Fukuda, H. Stark, M. Yoneya, and H. Yokoyama. Dynamics of a nematic liquid crystal around a spherical particle. Journal of Physics: Condensed Matter, 16(19):S1957-S1968, 2004.
7. J. Fukuda, M. Yoneya, and H. Yokoyama. Defect structure of a nematic liquid crystal around a spherical particle: Adaptive mesh refinement approach. Physical Review E, 65(4):04179, April 2002.
8. S. Grollau, N. L. Abbott, and J. J. de Pablo. Dynamic interaction between suspended particles and defects in a nematic liquid crystal. Physical Review E, 67(5), May 2003.
9. J. Harting, M. J. Harvey, J. Chin, and P. V. Coveney. Detection and tracking of defects in the gyroid mesophase. Computer Physics Communications, 165:97, 2004.
10. G. R. Hjaltason and H. Samet. Index-driven similarity search in metric spaces. ACM Trans. Database Syst., 28(4):517-580, 2003.
11. J. Hobdell and A. H. Windle. A numerical technique for predicting microstructure in liquid crystalline polymers. Liquid Crystals, 23(2):157-173, 1997.
12. T. J. Jankun-Kelly and K. Mehta. Superellipsoid-based, real symmetric traceless tensor glyphs motivated by nematic liquid crystal alignment visualization. IEEE Transactions on Visualization and Computer Graphics (Proceedings Visualization/Information Visualization 2006), 12(5), October 2006.
13. B. Kaučič;, M. Ambrožič;, and S. Kralj. Interference textures of defects in a thin nemalic film: an applet presentation. European Journal of Physics, 25(4):515-524, 2004.
14. O. D. Lavrentovich. Nematic liquid crystals: Defects. In Encyclopedia of Materials: Science and Technology, pages 6071-6076. Elsevier Science Ltd., 2001.
15. K.-L. Ma and V. Interrante. Extracting feature lines from 3d unstructured grids. In VIS '97: Proceedings of the 8th conference on Visualization '97, Los Alamitos, CA, USA, 1997. IEEE Computer Society Press.
16. K. Mehta, M. Lee, and T. J. Jankun-Kelly. Exploring defects in nematic liquid crystals. In IEEE Visualization 2005 Poster Compendium, page 91, 2005.
17. S. Mehta, K. Hazzard, R. Machiraju, S. Parthasarathy, and J. Wilkins. Detection and visualization of anomalous structures in molecular dynamics simulation data. In VIS '04: Proceedings of the conference on Visualization '04, pages 465-472, Washington, DC, USA, 2004. IEEE Computer Society.
18. NCSA. HDF5 API Specification and Software. available at http://hdf.ncsa.uiuc.edu/HDF5/.
19. Y. Ohtake, A. Belyaev, and H.-P. Seidel. Ridge-valley lines on meshes via implicit surface fitting. ACM Trans. Graph., 23(3):609-612, 2004.
20. M. Reichenstein, H. Stark, J. Stelzer, and H.-R. Trebin. Motion, creation, and annihilation of disclinations in multidomain structured nematic liquid crystal cells. Physical Review E, 2002.
21. R. Repnik, L. Mathelitsch, M. Svetec, and S. Kralj. Physics of defects in nematic liquid crystals. European Journal of Physics, 24(4):481-492, 2003.
22. V. Slavin, D. H. Laidlaw, S. Zhang, R. Pelcovits, G. Loriot, and A. Callan-Jones. Visualization of topological defects in nematic liquid crystals using streamtubes, streamsurfaces and ellipsoids. In IEEE Visualization 2004 Poster Compendium, Oct 2004.
23. V. A. Slavin, R. A. Pelcovits, G. Loriot, A. Callan-Jones, and D. H. Laidlaw. Techniques for the visualization of topological defect behavior in nematic liquid crystals. IEEE Transactions on Visualization and Computer Graphics (Proceedings Visualization/Information Visualization 2006), 12(5), 2006.
24. J. Smart, R. Roebling, V. Teitlin, and R. Dunn. The open source, cross-platform native ui framework. available at http://www.wxwidgets.org/.
25. A. Sonnet, A. Kilian, and S. Hess. Alignment tensor versus director: Description of defects in nematic liquid crystals. Physical Review, 52:718-722 July 1995.
26. A. Sparavigna, A. Sanna, B. Montrucchio, and A. Strigazzi. Streamline image analysis: a new tool for investigating defects in nematic liquid crystals, liquid Crystals, 26:1467-1478, October 1999.
27. M. J. Stephen and T. P. Straley. Physics of liquid crystals. Reviews of Modern Physics, 46(4):618-704, October 1974.
28. H. Toyoki. Motion of defects in the phase ordering process of nematic liquid crystals. Journal of the Physical Society of Japan, 63(12):4446-4450, December 1994.
29. X. Tricoche, G. Scheuermann, and H. Hagen. Continuous topology simplification of planar vector fields. In VIS '01: Proceedings of the conference on Visualkalion '01, pages 159-166, Washington, DC, USA, 2001. IEEE Computer Society.
30. C. Westin, S. Peled, H. Gudbjartsson, R. Kikinis, and F. A. Jolesz. Geometrical diffusion measures for MRI from tensor basis analysis. In ISMRM '97, page 1742, Vancouver Canada, April 1997.
31. T. Wischgoll and G. Scheuermann. Locating closed streamlines in 3d vector fields. In VISSYM '02: Proceedings of the symposium on Data Visualisation 2002, Aire-la-Ville, Switzerland, Switzerland, 2002. Eurographics Association.
32. H. Wu and R. Mohanraj. Computational simulations for study of liquid-crystal based sensor system. In J. Graef, H. Lim, R. Shivaji, B. Soni, and J. Zhu, editors, Proceedings of the Sixth Mississippi State-UAB Conference on Differential Equations and Compuational Simulations, May 2005.
33. S. Yoshizawa, A. Belyaev, and H.-P. Seidel. Fast and robust detection of crest lines on meshes. In SPM '05: Proceedings of the 2005 ACM symposium on Solid and physical modeling, pages 227-232, New York, NY, USA, 2005. ACM Press.
34. M. Zapotocky, P. M. Goldbart, and N. Goldenfeld. Kinetics of phase ordering in uniaxial and biaxial nematic films. Physical Review E, 51(2):1216-1235, February 1995.