Abstract
This paper presents a visualization method called the deformed cube for visualizing 3D velocity vector field. Based on the decomposition of the tensor which describes the changes of the velocity, it provides a technique for visualizing local flow. A deformed cube,a cube transformed by a tensor in a local coordinate frame, shows the local stretch, shear and rigid body rotation of the local flow corresponding to the decomposed component of the tensor. User can interactively view the local deformation or any component of the changes. The animation of the deformed cube moving along a streamline achieves a more global impression of the flow field. This method is intended as a complement to global visualization methods.
This work is supported by National Natural Science Foundation of China and State Key Lab of Scientific and Engineering Computing
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
A. Sadarjoen, T. van Walsum, A. J. S. Hin: Particle Tracing Algorithms for 3D Curvilinear Grids. Fifth Eurographics Workshop on Visualization in Scientific Computing, Rostock, Germany, May 1994.
K. Koyamada: Visualization of Simulated Airflow in a Clean Room. IEEE Proceedings of Visualization '92, Los Alamitos, Calif., (1992) pp.156–163.
X.D. Liang, B. Li, S. Q. Liu: Visualization of Three Dimensional Flow Fields. Proceedings of The International Conference for Young Computer Scientists, Beijing (1995).
J. L. Helman, L. Hesselink: Visualizing Vector Field Topology in Fluid Flows. IEEE Computer Graphics and Applications, May, (1991) pp.36–46.
J.J van Wijk, A. J. S. Hin, etc.: Three Ways to Show 3D Fluid Flows. IEEE Computer Graphics and Applications, Sept. (1994) pp.33–39.
L.Hesselink, F.H.Post: Research Issues in Vector and Tensor Field Visualization. IEEE Computer Graphics and Applications, March (1994) pp.76–79
O. C. Zienkiewize: Finite Elements and Approximation. John Wiley & Sons, (1983)
T. Delmarcelle, L. Hesselink: Visualizing Second Order Tensor Fields with Hyperstreamlines. IEEE Computer Graphics and Applications, (July, 1993) pp.25–33
T. Delmarcelle, L. Hesselink: Visualization of Second Order Tensor Fields and Matrix Data. IEEE Proceedings of Visualization '92, Los Alamitos, Calif., (1992)
W. C. de Leeuw, J.J van Wijk: A Probe for Local Flow Field Visualization. IEEE Proceedings of Visualization '93, Los Alamitos, Calif., (1993)
W. J. Schroeder, C. R. Volpe, W. E. Lorensen: The Stream Polygon: A Technique for 3D Vector Field Visualization. IEEE Proceedings of Visualization '92, (1992)
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1995 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Liang, X., Li, B., Liu, S. (1995). The deformed cube: A visualization technique for 3D velocity vector field. In: Chin, R.T., Ip, H.H.S., Naiman, A.C., Pong, TC. (eds) Image Analysis Applications and Computer Graphics. ICSC 1995. Lecture Notes in Computer Science, vol 1024. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-60697-1_86
Download citation
DOI: https://doi.org/10.1007/3-540-60697-1_86
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-60697-0
Online ISBN: 978-3-540-49298-6
eBook Packages: Springer Book Archive