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Wavelet array decomposition of images using a Hermite sieve

Venkatesh, YV and Ramani, K and Nandini, R (1993) Wavelet array decomposition of images using a Hermite sieve. In: Sadhana, 18 (2). pp. 301-324.


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Generalized Hermite polynomials are used in a novel way to arrive at a multi-layered representation of images centred on the creation of a new class of wavelet arrays. The shape of the resolution cell in the `phase-space' is variable even at a specified scale, depending on the nature of the signal under consideration; and a systematic procedure is given for extracting the zero-crossings from the coefficients at various scales. This representation has been applied successfully to both synthetic and natural images, including textures

Item Type: Journal Article
Publication: Sadhana
Publisher: Indian Academy of Sciences
Additional Information: Copyright of this article belongs to Indian Academy of Sciences.
Keywords: Image representation;Wavelet transform;Multi-resolution; Generalized Hermite polynomials;Scale space;Signal decomposition;Windowed Fourier transform;Fourier series; Zero-crossings
Department/Centre: Division of Electrical Sciences > Electrical Engineering
Date Deposited: 29 Jun 2006
Last Modified: 19 Sep 2010 04:29
URI: http://eprints.iisc.ac.in/id/eprint/7732

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