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Image representation using vector wavelets

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3 Author(s)
Venkatesh, Y.V. ; Dept. of Electr. Eng., Indian Inst. of Sci., Bangalore, India ; Ramani, K. ; Nandini, R.

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: it is distinct from and superior to the other wavelet schemes of the literature; it is stable; 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'; the zero-crossings of the signal at various scales can be directly obtained from the coefficients; and 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 different types of images, both synthetic and natural

Published in:

Pattern Recognition, 1992. Vol.III. Conference C: Image, Speech and Signal Analysis, Proceedings., 11th IAPR International Conference on

Date of Conference:

30 Aug-3 Sep 1992