This Article 
 Bibliographic References 
 Add to: 
Visualization of Scientific Video Data Using KL Decomposition
October-December 1998 (vol. 4 no. 4)
pp. 330-343

Abstract—Fast methods are developed for visualizing and classifying certain types of scientific video data. These techniques, which are based on KL decomposition, find a best coordinate system for a data set. When the data set represents a temporally ordered collection of images, the best coordinate system leads to approximations that are separable in time and space. Practical methods for computing this best coordinate system are discussed and physically significant visualizations for experimental video data are developed. The visualization techniques are applied to two experimental systems—one from combustion and the other from neurobiology—to show how relevant information can be quickly extracted from video data. These techniques can be integrated into the video acquisition process to provide real-time feedback to the experimentalist during the operation of an experiment.

[1] N. Aubry, P. Holmes, J.L. Lumley, and E. Stone, "The Dynamics of Coherent Structures in the Wall Region of a Turbulent Boundary Layer," J. Fluid Mechanics, vol. 192, pp. 113-172, 1988.
[2] D.S. Broomhead, R. Indik, A.C. Newell, and D.A. Rand, "Local Adaptive Galerkin Bases for Large-Dimensional Dynamical Systems," Nonlinearity, vol. 4, pp. 159-197, 1991.
[3] J.X. Chen, D. Rine, and H.D. Simon, "Advancing Interactive Visualization and Computational Steering," IEEE Computational Science and Engineering, vol. 3, no. 4, pp. 13-17, 1996.
[4] M. Dellnitz, M. Golubitsky, and N. Nicol, "Symmetry of Attractors and the Karhunen-Loève Decomposition," Trends and Perspectives in Applied Mathematics, L. Sirovich, ed., pp. 73-108. Springer-Verlag, 1994.
[5] J. Friedman and J. Tukey, "Exploratory Projection Pursuit," J. Am. Statistical Assoc., vol. 82, pp. 249-266, 1987.
[6] M. Gorman, M. el-Hamdi, and K.A. Robbins, "Rotating and Modulated Rotating States of Cellular Flames," Combustion Science and Technology, vol. 98, pp. 25-35, 1994.
[7] M. Gorman, M. el-Hamdi, and K.A. Robbins, "Hopping Motion in Ordered States of Cellular Flames," Combustion Science and Technology, vol. 98, pp. 47-56, 1994.
[8] A. Gupta, S. Santini, and R. Jain, "In Search of Information in Visual Media," Comm. ACM, vol. 40, no. 12, pp. 35-42, 1997.
[9] P. Keller and M. Keller, Visual Cues. IEEE Press, 1993.
[10] A.K. Jain, Fundamentals of Digital Image Processing. Prentice Hall, 1989.
[11] S. Makeig, T-P. Jung, A.J. Bell, D. Ghahremani, and T.J. Sejnowski, "Blind Separation of Event-Related Brain Responses Into Independent Components," Proc. Nat'l Academy of Science, USA, vol. 90, no. 20, pp. 10,979-10,984, 1997.
[12] Scientific Visualization: Surveys, Methodologies and Techniques, G. Nielson, H. Hagen, and H. Mueller, eds Los Alamitos, Calif.: IEEE CS Press, 1996.
[13] A. Palacios, G. Gunaratne, M. Gorman, and K.A. Robbins, "Cellular Pattern Formation in Circular Domains," Chaos, vol. 7, no. 3, pp. 463-475, 1997.
[14] A. Palacios, G. Gunaratne, M. Gorman, and K.A. Robbins, "Karhunen-Loève Analysis of Spatiotemporal Flame Patterns," Physical Review E, vol. 57, no. 5, pp. 1-14. year?
[15] S. Pfeiffer, R. Lienhart, S. Fischer, and W. Effelsberg, "Abstracting Digital Movies Automatically," J. Visual Comm. and Image Representation, vol. 7, no. 4, pp. 345-353, 1996.
[16] K.A. Robbins, "Exact-Time and Near Real-Time Visualization for the Experimentalist," Proc. 1997 ACM Workshop New Paradigms in Information Visualization and Manipulation, pp. 66-68, 1997.
[17] K.A. Robbins and M. Gorman, "Using Image Processing and Computer Animation to Analyze Spatial and Temporal Dynamics in a Pattern-Forming System," Computers in Physics, vol. 12, no. 1, pp. 73-81, 1998.
[18] E. Schmidt, "Zur Theorie der linearen und nichtlinearen integralgeichungen. I Teil: Enterwicklung wilkulicher funktion nach systemen vorgeschriebener," Mathematische Annalen, vol. 63, pp. 433-476, 1907.
[19] D.M. Senseman, "Correspondence Between Visually Evoked Voltage-Sensitive Dye Signals and Synaptic Activity Recorded in Cortical Pyramidal Cells with Intracellular Microelectrodes," Visual Neuroscience, vol. 13, pp. 963-977, 1996.
[20] D.M. Senseman, "Spatiotemporal Structure of Depolarization Spread in Cortical Pyramidal Cell Populations Evoked By Diffuse Light Flashes," Visual Neuroscience, vol. 16, pp. 1-15, 1999 (in press).
[21] L. Sirovich, M. Maxey, and H. Tarman, "Low-Dimensional Procedure for the Characterization of Human Faces," J. Optical Soc., vol. 4A, pp. 519-524, 1987.
[22] L. Sirovich, "Turbulence and the Dynamics of Coherent Structures," Quarterly Applied Mathematics, vol. XLV, pp. 561-590, 1987.
[23] L. Sirovich and R. Everson, "Management and Analysis of Large Scientific Datasets," Int'l J. Supercomputer Applications, vol. 6, no. 1, pp. 50-68, 1992.
[24] L. Sirovich, R. Everson, E. Kaplan, B.W. Knight, E. O'Brien, and D. Orbach, "Modeling the Functional Organization of the Visual Cortex." Physica D, vol. 96, pp. 355-366, 1996.
[25] V.E. Taylor, J. Chen, T.L. Disz, M.E. Papka, and R. Stevens, "Interactive Virtual Reality in Simulations: Exploring Lag Time," IEEE Computational Science and Engineering, vol. 3, no. 4, pp. 46-54, 1996.
[26] J.S. Vetter, "Computational Steering Annotated Bibliography," ACM SIGPLAN Notices, vol. 32, no. 6, pp. 40-44, 1997.
[27] B.-L. Yeo and B. Liu, "Rapid Scene Analysis on Compressed Video," IEEE Trans. Circuits, Systems, and Video Technology, vol. 5, no. 6, pp. 533-544, 1995.
[28] M. Yeung and B.-L. Yeo, "Video Visualization for Compact Presentation and Fast Browsing of Pictorial Content," IEEE Trans. Circuits, Systems, and Video Technology, vol. 7, no. 5, pp. 771-785, 1997.
[29] .

Index Terms:
Scientific visualization, real-time visualization, video analysis.
Kay A. Robbins, "Visualization of Scientific Video Data Using KL Decomposition," IEEE Transactions on Visualization and Computer Graphics, vol. 4, no. 4, pp. 330-343, Oct.-Dec. 1998, doi:10.1109/2945.765327
Usage of this product signifies your acceptance of the Terms of Use.