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Image Representation Using Vector Wavelets

Venkatesh, YV and Ramani, K and Nandini, R (1992) Image Representation Using Vector Wavelets. In: 11th IAPR International Conference on Pattern Recognition, 1992. Vol.III. Conference C: Image, Speech and Signal Analysis, 30th August-3rd September, Hague, pp. 447-450.


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A new layered representation of images is proposed using, what one may call, vector wavelets defined by generalized Hermite polynomials. This representation has some special properties : (i) It is distinct from and superior to the other wavelet schemes of the litemture ; (ii) It is stable ; (iii) It transforms the image into matrices of coefficients in the same manner as the standard transforms (Fourier, Hadamard and others), but at the specified 'scales' ; (iv) The zerocrossings of the signal at various scales can be directly obtained from the coefficients ; and (v) The size of the resolution cell in the 'phase-space' is variable even at a specified scale, depending on the image being analysed. This representation has been successfully applied to diflerent types of images, both synthetic and natural.

Item Type: Conference Paper
Publisher: IEEE
Additional Information: Copyright 1992 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE
Department/Centre: Division of Electrical Sciences > Electrical Engineering
Date Deposited: 02 Jun 2006
Last Modified: 19 Sep 2010 04:28
URI: http://eprints.iisc.ac.in/id/eprint/7297

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