On the inter-conversion between Hermite and Laguerre local image expansions.
basic_science · Level V
Where this comes from
- Record sourced from PubMed, PMID 21536532.
- Also identified by DOI 10.1109/TIP.2011.2150232.
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Abstract
The nice relationship existing among the Hermite-Gauss and the Laguerre-Gauss image expansions, whose basis functions span the same signal space, is investigated. As a result, a novel efficient method for Cartesian to polar coordinate inter-conversion, especially suited for dedicated hardware realization, is proposed. Applications to local image rotation, based on the simple steerability of the Laguerre-Gauss expansion, and to local image analysis, based on Gaussian derivatives, are considered in detail. A possible fixed-point realization of the proposed inter-conversion scheme is discussed.