Abstract
Line Integral Convolution (LIC) is a very powerful vector field visualization technique as it can effectively reveal the global and complex structures of a flow field. All the existing LIC algorithms, however, requires the one-to-one correspondence between input image pixels and grid cells, and hence restrict their use only for 2D/3D structured grids. In this paper, we present a new algorithm, for convolving solid white noise on triangle meshes in 3D space, and extend. LIC for visualizing the vector field on any arbitrary 3D surfaces, such as a contour surface output from the Marching Cube algorithm, or a surface of a 3D object represented implicitly by a part of a curvilinear or an unstructured grid.
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References
. Cabral, B. and Leedorn, C.: Imaging Vector Field Using Line Integral Convolution. Proceedings of SIGGRAPH’93, ACM SIGGRAPH, pp. 263 – 270 (1993).
Forssell, L. K. rind Cohen, S. D.: Using Line Integral Convolution for Flow Visualization: Curvilinear grids, Variable-speed Animation and Unsteady Flows. IEEE Transaction on Visualization and Computer Graphics, Vol. 1, No. 2, pp. 133 – 141 (1995).
Leeum, W. C. and Wijk, J. J. van: Enhanced Spot Noise for Vector Field Visualization. Proceedings of Visualization ’95, pp. 233 – 239 (1996).
Lewis, J. P.: Algorithms for Solid Noise Synthesis. Computer Graphics, Vol. 23, No. 3, pp. 263 – 270 (1989).
Lorensen, W. E. and Cline, H. E.: Marching Cubes: A high Resolution 3D surface Construction Algorithm. Computer Graphics, Vol. 21, No. 4, pp. 163 – 169 (1987).
Max, N., Crawfis, R. and Grant, C.: Visualizing 3D Velocity Fields near Contour Surfaces 3D Scalar Functions. Proceedings of Visualization ’94, pp. 248 – 255 (1994).
Peachey, D. R.: Solid Texturing of Complex Surfaces. Computer Graphics, Vol. 19, No. 3, pp. 279 – 286 (1985).
Perlin, K.: An Image Synthesizer. Computer Graphics, Vol. 19, No. 3, pp. 287 – 296 (1985).
Post, F.H. and Walsuin, T. van: Fluid Flow Visualization. Visulization ’93 Tutorial 3, pp. 1 – 37 (1993).
Shen, H., Johnson, C. R. and Ma, K.: Visualization Vector Fields Using Line Integral Convolution and Dye Advection. Proceedings of the 1994 Symposium on Volume Visualization, pp. 63 – 70 (1996).
Sadarjoen, A., Walsum, T. van, Hin, A. J. S. and Post, F. H.: Particle Tracing Algorithms for 3D Curvilinear Grids. 5th Eurographics Workshop on Visualization in Scientific Computing, (1994).
Stalling, D. and Hege, H. C.: Fast and Resolution Independent Line Integral Convolution. Proceedings of SIGGRAPH ’95, ACM SIGGRAPH, pp. 249 – 256 (1995).
Wijk, J.J. van: Spot Noise: Texture Synthesis for Data Visualization. Computer Graphics, Vol. 24, No. 4, pp. 309 – 318 (1991).
Yamanchi, M., Fujii, K. and Higashino, F.: Numerical Investigation of Supersonic Flows around a Spiked Blunt-Body. Journal of Spacecraft and Rockets, Vol. 32, No.1, pp. 32 – 42 (1994).
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© 1997 Springer-Verlag/Wein
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Mao, X., Kikukawa, M., Fujita, N., Imamiya, A. (1997). Line Integral Convolution for 3D Surfaces. In: Lefer, W., Grave, M. (eds) Visualization in Scientific Computing ’97. Eurographics. Springer, Vienna. https://doi.org/10.1007/978-3-7091-6876-9_6
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DOI: https://doi.org/10.1007/978-3-7091-6876-9_6
Publisher Name: Springer, Vienna
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