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On the Inter-Conversion Between Hermite and Laguerre Local Image Expansions

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3 Author(s)
Di Claudio, E.D. ; Dept. of Inf. Eng., Electron. & Telecommun. (DIET), Univ. of Rome “La Sapienza”, Rome, Italy ; Jacovitti, G. ; Laurenti, A.

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.

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Image Processing, IEEE Transactions on  (Volume:20 ,  Issue: 12 )