The Community for Technology Leaders
RSS Icon
Issue No.04 - July/August (1993 vol.13)
pp: 25-33
<p>A method developed to help scientists visualize 3D tensor data is presented. The method is based on the concept of a hyperstreamline, the simplest continuous tensor structure that can be extracted from a tensor field. Hyperstreamlines for a particular case of symmetric tensor fields are introduced, and a structural depiction of symmetric tensor fields is derived from the representation of many hyperstreamlines. A method for visualizing unsymmetric tensor data by encoding an additional vector field along the trajectory of the hyperstreamlines is discussed.</p>
Thierry Delmarcelle, Lambertus Hesselink, "Visualizing Second-Order Tensor Fields with Hyperstreamlines", IEEE Computer Graphics and Applications, vol.13, no. 4, pp. 25-33, July/August 1993, doi:10.1109/38.219447
1. A.I. Borisenko and I.E. Tarapov,Vector and Tensor Analysis with Applications, Dover Publications, New York, 1979.
2. T. Delmarcelle and L. Hesselink, "Visualization of Second-Order Tensor Fields and Matrix Data,"Proc. IEEE Visualization 92, CS Press, Los Alamitos, Calif., 1992, pp. 316-323.
3. R. Haber, "Visualization Techniques for Engineering Mechanics,"Computing Systems in Eng., Vol. 1, No. 1, 1990, pp. 37- 45.
4. R.B. Haber and D.A. McNabb, "Visualization Idioms: A Conceptual Model for Scientific Visualization Systems," inVisualization in Scientific Computing, G.M. Nielson and B. Shriver, eds., CS Press, Los Alamitos, Calif., 1990, pp. 74-93.
5. R. Dickinson, "A Unified Approach to the Design of Visualization Software for the Analysis of Field Problems,"3D Visualization and Display Technologies(Proc. SPIE), Vol. 1083, Jan. 1989, SPIE (International Society for Optical Engineering), Bellingham, Wash., pp. 173-180.
6. J. Helman and L. Hesselink, "Visualizing Vector Field Topology in Fluid Flows,"IEEE CG&A, Vol. 11, No. 3, May 1991, pp. 36-46.
7. A. Globus, T. Lasinski, and C. Levit, "A Tool for Visualizing the Topology of Vector Fields,"Proc. IEEE Visualization 91, CS Press, Los Alamitos, Calif., 1991, pp. 17-24.
8. M.S. Chong, A.E. Perry, and B.J. Cantwell, "A General Classification of Three-Dimensional Flow Fields,"Physics of Fluids A, Vol. 2, No. 5, May 1990, pp. 36-46.
9. W.J. Schroeder, C.R. Volpe, and W.E. Lorensen, "The Stream Polygon: A Technique for 3D Vector Field Visualization,"Proc. IEEE Visualization 91, CS Press, Los Alamitos, Calif., 1991, pp. 126-132.
10. D.C. Leigh,Nonlinear Continuum Mechanics, McGraw-Hill, New York, 1968.
11. W.T. Ashurst et al., "Alignment of Vorticity and Scalar Gradient with Strain Rate in Simulated Navier-Stokes Turbulence,"Physics of Fluids, Vol. 30, No. 8, Aug. 1987, pp. 2,343-2,353.
35 ms
(Ver 2.0)

Marketing Automation Platform Marketing Automation Tool