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Projection-Based Approach to Image Analysis: Pattern Recognition and Representation in the Position-Orientation Space
November 1992 (vol. 14 no. 11)
pp. 1105-1110

A method for image analysis, based on the formalism of functional analysis is proposed. This approach, which is employed for pattern recognition in the combined position-orientation space, is motivated by a variety of neurophysiological findings that emphasize the importance of the orientation feature in visual image processing and analysis. The approach is applied to the so-called Glass patterns, which are special cases of images characterized uniquely by their orientational feature of local correlations between pairs of corresponding dots. The approach can be of interest in the analysis of optical flow.

[1] D. H. Hubel and T. N. Wiesel, "Receptive fields and functional architecture of monkey striate cortex,"J. Physiol., vol. 195, pp. 215-243, 1968.
[2] L. Glass, "Moire effect from random dots,"Nature, vol. 243, pp. 578-580, 1969.
[3] K. A. Stevens, "Computation of locally parallel structures,"Biol. Cybern., vol. 29, pp. 19-28, 1978.
[4] S. W. Zucker,Physical and Biological Processing of Images. Berlin: Springer, 1983, pp. 326-334.
[5] S. W. Zucker, "Early orientation selection: Tangent fields and the dimensionality of their support,"CVGIP, vol. 32, pp 74-108, 1985.
[6] K. Prazdny, "Some new phenomena in the perception of Glass patterns,"Biol. Cybern., vol. 53, pp. 153-158, 1986.
[7] A. Gross, R. Hartley, and A. Rosenfeld, "A fast parallel algorithm for dot linking in Glass patterns,"Patt. Recogn. Lett., vol. 3, pp. 263-270, 1985.
[8] T. H. Phillips and A. Rosenfeld, "A simplified method of detecting structure in Glass patterns,"Patt. Recogn. Lett., vol. 4, pp. 213-217, 1986.
[9] H. Greenspan, M. Fleisher, M. Porat, and Y. Y. Zeevi, "Pattern recognition by neural-network processing in the combined spatialorientational space," inProc. 16th Convention IEEE Israel(Tel-Aviv), 1989.
[10] D. Walters, "General-purpose image primitives,"Comput. Vision Graphics Image Processing, vol. 37, pp. 261-298, 1987.
[11] H. Greenspan, M. Porat, and Y. Y. Zeevi, "Projection-based approach to image analysis: The position orientation space," EE Pub. Technion Israel Inst. of Technol., no. 765, June 1990.
[12] J. R. Higgins,Completeness and Basis Properties of Sets of Special Functions. Cambridge, England: Cambridge University Press, 1977.
[13] G. Adiv, "Determining three dimensional motion and structure from optical flow generated by several moving objects,"IEEE Trans. Patt. Anal. Machine Intell., vol. PAMI-7, no. 4, July 1985.
[14] F. Tomita and S. Tsuji,Computer Analysis of visual Textures. Boston: Kluwer, 1990, ch. 3.
[15] D. D. Giusto and G. Vernazza, "Optical flow calculation from feature space analysis through an automatic segmentation process,"Signal Processing, vol. 16, pp. 41-51, 1989.
[16] B. F. Buxton and D. W. Murray, "Optic flow segmentation as an ill-posed and maximum likelihood problem,"Image Vision Comput., vol. 3, pp. 163-169, 1985.
[17] M. Porat and Y. Y. Zeevi, "Localized texture processing in vision: Analysis and synthesis in the Gaborian space,"IEEE Trans. Biomed. Eng., vol. 36, pp. 115-129, 1989.
[18] J.D. Foley and A. Van Dam,Fundamentals of Interactive Computer Graphics(The System Programming Series). Reading, MA: Addison-Wesley, 1982.

Index Terms:
projection based method; image analysis; pattern recognition; position-orientation space; functional analysis; Glass patterns; local correlations; optical flow; functional analysis; image processing; image recognition
H. Greenspan, M. Porat, Y.Y. Zeevi, "Projection-Based Approach to Image Analysis: Pattern Recognition and Representation in the Position-Orientation Space," IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 14, no. 11, pp. 1105-1110, Nov. 1992, doi:10.1109/34.166626
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