This Article 
 Bibliographic References 
 Add to: 
Acquisition of Symbolic Description from Flow Fields: A New Approach Based on a Fluid Model
January 1997 (vol. 19 no. 1)
pp. 58-63

Abstract—We propose a new model and new algorithm for acquiring symbolic description from a flow field. Our model is derived from physical data, and our algorithm is based on holomorphic complex function theory. Application of this method enables both qualitative and quantitative information to be obtained from a flow field. We also demonstrate the robustness of our method using a simulated flow field and a real image sequence.

[1] K. Kanatani, Geometric Computation for Machine Vision. Oxford Science Publications, 1993.
[2] D.J. Burr, "Elastic Matching of Line Drawings," IEEE Trans. Pattern Analysis and Machine Intelligence, vol. 3, no. 6, pp. 706-713, Nov. 1981.
[3] M. Kass, A. Witkin, and D. Terzopoulos, "Snakes: Active Contour Models," Proc. First Int'l Conf. Computer Vision,London, June 1987.
[4] M.V. Melander and F. Hussain, "Coupling Between a Coherent Structure and Fine-Scale Turbulence," Physical Review E, vol. 48, no. 4, pp. 2,669-2,689, Oct. 1993.
[5] S. Kishiba, K. Ohkitani, and S. Kida, "Physical-Space Nonlocality in Decaying Isotropic Turbulence," J. Physical Society of Japan, vol. 62, no. 11, pp. 3,783-3,787, Nov. 1993.
[6] J.H. Ottino, "Kinematics of Chaotic Mixing: Experimental and Computational Results," Proc. IUTAM Symp.,Cambridge, pp. 13-22, Aug. 1989.
[7] B. Eckhardt, "Lagrangian Chaos and Transport of Scalars," Proc. IUTAM Symp.,Cambridge, pp. 23-33, Aug. 1989.
[8] L.M. Polavini and J. Wisdom, "On Chaotic Flow Around the Kida Vortex," Proc. IUTAM Symp.,Cambridge, pp. 34-44, Aug. 1989.
[9] L.M. Milne-Thomson, Theoretical Hydrodynamics, fifth ed. Macmillan Press, 1972.
[10] W.H. Press, B.P. Flannery, S.A. Teukolsky, and W.T. Vetterling, Numerical Recipes in C: The Art of Scientific Computing.Cambridge, 1988.
[11] R.J. Qian, J. Zhong, and T.S. Huang, "Scale Invariant Algorithms for Vortex Structure Detection in 3D Fluid Flows," Proc. Asian Conf. Comp. Vis. '93,Osaka, Japan, pp. 794-797, Nov. 1993.
[12] M. Tobak and D.J. Peake, "Topology of Three-Dimensional Separated Flows," Ann. Rev. Fluid. Mech., vol. 14, pp. 61-85, 1982.
[13] R.J. Adrian, "Particle Imaging Techniques for Experimental Fluid Mechanics," Ann. Rev. Fluid. Mech., vol. 23, pp. 261-304, 1991.
[14] J. Helman and L. Hesselink, "Representation and Display of Vector Field Topology in Fluid Flow Data Sets," Computers, vol. 22, no. 8, pp. 27-36, Aug. 1989. Also appears in Visualization in Scientific Computing, G.M. Nielson and B. Shriver, eds. Companion video tape available from IEEE CS Press.
[15] A.A. Rao and R.C. Jain, “Computerized Flow Field Analysis: Oriented Texture Fields,” IEEE Trans. Pattern Analysis and Machine Intelligence, vol. 17, no. 7, pp. 693-709, July 1992.
[16] C.-F. Shu, R. Jain, and F. Quek, "A Linear Algorithm for Computing the Phase Portraits of Oriented Textures," Proc. IEEE Conf. Comp. Vision and Pattern Recognition,Lahaina, Hawaii, pp. 352-357, 1991.
[17] C.-F. Shu and R.C. Jain, "Vector Field Analysis for Oriented Patterns," IEEE Trans. Pattern Analysis and Machine Intelligence, vol. 16, no. 9, pp. 946-950, Sept. 1994.
[18] R.M. Ford, R.N. Strickland, and B.A. Thomas, "Image Models for 2D Flow Visualization and Compression," CVGIP: Graphical Models and Image Processing, vol. 56, no. 1, pp. 75-93, Jan. 1994.
[19] M.S. Chong, A.E. Perry, and B.J. Cantwell, "A General Classification of Three-Dimensional Flow Fields," Phys. Fluids. A, vol. 2, no. 5, pp. 765-777, May 1990.
[20] J. Zhong, T.S. Huang, and R.J. Adrian, "Salient Structure Analysis of Fluid Flow," Proc. IEEE Conf. Computer Vision and Pattern Recognition,Seattle, Wash., pp. 310-315, June 1994.
[21] S.G. Mallat,“A theory for multiresolution signal decomposition: The wavelet representation,” IEEE Trans. Pattern Analysis and Machine Intelligence, vol. 11, no. 7, pp. 674-693, 1989.
[22] M. Kass and A. Witkin, "Analyzing Oriented Patterns," CVGIP, vol. 37, pp. 362-385, 1987.
[23] M. Spivak, "Differential Geometry," Publish or Perish, 1979.
[24] A. Nomura, H. Miike, and K. Koga, "Detecting a Velocity Field from Sequential Images Under Time-Varying Illumination," Proc. Fourth Int'l Workshop, V. Cappellini, ed., Florence, Italy, pp. 343-350, June 1993.
[25] J. Weng, T.S. Huang, and N. Ahuja, Motion and Structure from Image Sequences, Springer Series in Information Sciences. Springer-Verlag, Dec. 1991.

Index Terms:
Symbolic description, flow field, fluid model, Rankine's vortex, physics-based vision.
Hiroki Nogawa, Yoshikazu Nakajima, Yoshinobu Sato, Shin'ichi Tamura, "Acquisition of Symbolic Description from Flow Fields: A New Approach Based on a Fluid Model," IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 19, no. 1, pp. 58-63, Jan. 1997, doi:10.1109/34.566811
Usage of this product signifies your acceptance of the Terms of Use.