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The Selection of Natural Scales in 2D Images Using Adaptive Gabor Filtering
May 1998 (vol. 20 no. 5)
pp. 458-469

Abstract—This paper analyzes how the natural scales of the shapes in 2D images can be extracted. Spatial information is analyzed by multiple units sensitive to both spatial and spatial-frequency variables. Scale estimates of the relevant shapes are constructed only from strongly responding detectors. The meaningful structures in the response of a detector (computed through 2D Gabor filtering) are, at their natural level of resolution, relatively sharp and have well-defined boundaries. A natural scale is so defined as a level σ producing local minimum of a function that returns the relative sharpness of the detector response filtered over a range of scales. In a second stage, to improve a first crude estimate of the local scale, the criterion is also rewritten to directly select scales at locations of significant features of each activated detector.

[1] J.A. García, J. Fdez-Valdivia, A. Garrido, "A Scale-Vector Approach for Edge Detection," Pattern Recognition Letters, vol. 16, pp. 637-646, 1995.
[2] N. Graham, Visual Pattern Analyzers. Oxford Psychology Series, no. 16, Oxford Univ. Press, 1989.
[3] S. Marcelja, "Mathematical Description of the Response of the Simple Cortical Cells," J. Optical Soc. Am., vol. 70, pp. 1,297-1,399, 1980.
[4] J.G. Daugman, "Spatial Visual Channels in the Fourier Plane," Vision Research, vol. 24, pp. 891-910, 1984.
[5] J.G. Daugman, "Uncertainty Relation for Resolution in Space, Spatial Frequency and Orientation Optimized by Two-Dimensional Visual Cortical Filters," J. Optical Soc. Am., vol. 2, pp. 1,160-1,169, 1985.
[6] J.P. Jones and L.A. Palmer, "An Evaluation of the Two-Dimensional Gabor Filter Model of Simple Receptive Fields in Cat Striate Cortex," J. Neurophysiology, vol. 58, pp. 1,233-1,258, 1987.
[7] A.B. Watson, "Efficiency of a Model Human Image Code." J. Optical Soc. Am. A, vol. 4, pp. 2,401-2,417, 1987.
[8] R. Navarro, A. Tabernero, and G. Cristobal, "Image Representation With Gabor Wavelets and Its Applications," Advances in Imaging and Electron Physics, P.W. Hawkes, ed. Orlando, Fla.: Academic Press, Inc., 1995.
[9] R.L. De Valois, E.W. Yund, and N. Hepler, "The Orientation and Direction Selectivity of Cells in Macaque Visual Cortex," Vision Research, vol. 22, pp. 531-544, 1982.
[10] J. Martinez-Baena, J. Fdez-Valdivia, J.A. Garcia, and X.R. Fdez-Vidal, "A New Image Distortion Measure Based on a Data-Driven Multisensor Organization," Pattern Recognition, vol. 31, no. 8, 1998.
[11] F. D'Astous, "Textural Feature Extraction in the Spatial Frequency Domain," PhD thesis, Dept. of Systems Design Engineering, Univ. of Waterloo, Ontario, Canada, 1983.
[12] M.E. Jernigan and F. D'Astous, "Entropy-Based Texture Analysis in the Spatial Frequency Domain," IEEE Trans. Pattern Analysis and Machine Intelligence, vol. 6, pp. 237-243, 1984.
[13] C.R. Rao, Linear Statistical Inference and Its Applications.New York, NY: Wiley, 1973.
[14] A.K. Jain and R.C. Dubes, Algorithms for Clustering Data.Englewood Cliffs, N.J.: Prentice-Hall, 1988.
[15] S.Z. Selim and M.A. Ismail, "K-Means-Type Algorithms: A Generalized Convergence Theorem and Characterization of Local Optimality," IEEE Trans. Pattern Analysis and Machine Intelligence, vol. 6, pp. 81-87, 1984.
[16] L.M.J. Florack, B.M. ter Haar Romeny, J.J. Koenderink, and M.A. Viergever, "Scale and the Differential Structure of Images," Image Vision Comp., vol. 10, pp. 376-388, 1991.
[17] M.C. Morrone and D.C. Burr, "Feature Detection in Human Vision: A Phase-Dependent Energy Model," Proc. Royal Soc. London B, vol. 235, pp. 221-245, 1988.
[18] X.R. Fdez-Vidal, J.A. Garcia, J. Fdez-Valdivia, and A. Garrido, "Using Models of Feature Perception in Distortion Measure Guidance," Pattern Recognition Letters, vol. 19, no. 1, pp. 77-88, 1998.

Index Terms:
Natural scale selection, data-driven multichannel scheme, activated sensors, complex 2D Gabor filters.
Citation:
J. Fdez-Valdivia, J.a. Garcia, J. Martinez-Baena, Xose R. Fdez-Vidal, "The Selection of Natural Scales in 2D Images Using Adaptive Gabor Filtering," IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 20, no. 5, pp. 458-469, May 1998, doi:10.1109/34.682176
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