Abstract
We discuss the connection between Gabor filters and steerable filters in pattern recognition. We derive optimal steering coefficients for Gabor filters and evaluate the accuracy of the approximative orientation steering numerically. Gabor filters can be well steerable, but the error of the approximation depends heavily on the parameters. We show how a rotation invariant feature similarity measure can be obtained using steerability.
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Daugman, J.G.: Complete discrete 2-D gabor transformations by neural networks for image analysis and compression. IEEE Trans. ASSP 36(7) (1988)
Daugman, J.G.: Uncertainty relation for resolution in space, spatial frequency and orientation optimized by two-dimensional visual cortical filters. J. Opt. Soc. Am. 2(7), 1160–1169 (1985)
Freeman, W.T., Adelson, E.H.: The design and use of steerable filters. IEEE Trans. PAMI 13(9), 891–906 (1991)
Greenspan, H., Belongie, S., Perona, P., Goodman, R., Rakshit, S., Anderson, C.: Overcomplete steerable pyramid filters and rotation invariance. In: CVPR 1994, pp. 222–228 (1994)
Hel-Or, Y., Teo, P.C.: Canonical decomposition of steerable functions. Journal of Mathematical Imaging and Vision 9(1), 83–95 (1998)
Knutsson, H., Wilson, R., Granlund, G.H.: Anisotropic Nonstationary Image Estimation and Its Applications: Part I–Restoration of Noisy Images. IEEE Transactions on Commucations COM-31(3), 388–397 (1983)
Lee, T.S.: Image representation using 2D Gabor wavelets. IEEE Transactions on Pattern Analysis and Machine Intelligence 18(10), 959–971 (1996)
Michaelis, M., Sommer, G.: A Lie Group approach to steerable filters. Pattern Recognition Letters 16(11), 1165–1174 (1995)
Sommer, G., Michaelis, M., Herpers, R.: The SVD approach for steerable filter design. In: Proc. Int. Symposium on Circuits and Systems 1998, Monterey, California, vol. 5, pp. 349–353 (1998)
Teo, P.C.: Theory and Applications of Steerable Functions. Ph.D. thesis, Technical Report CS-TR-98-1604 (March 1998)
Teo, P.C., Hel-Or, Y.: Design of multi-parameter steerable functions using cascade basis reduction. IEEE Trans. PAMI 21(6), 552–556 (1999)
Wiskott, L., Fellous, J.-M., Krüger, N., von der Malsburg, C.: Face recognition by elastic bunch graph matching. In: Sommer, G., Daniilidis, K., Pauli, J. (eds.) CAIP 1997. LNCS, vol. 1296, pp. 456–463. Springer, Heidelberg (1997)
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Kalliomäki, I., Lampinen, J. (2005). Approximate Steerability of Gabor Filters for Feature Detection. In: Kalviainen, H., Parkkinen, J., Kaarna, A. (eds) Image Analysis. SCIA 2005. Lecture Notes in Computer Science, vol 3540. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11499145_95
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DOI: https://doi.org/10.1007/11499145_95
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-26320-3
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