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• W2087005203 abstract "Inspired by the visual system of many mammals, we consider the construction of—and reconstruction from—an orientation score of an image, via a wavelet transform corresponding to the left-regular representation of the Euclidean motion group in (mathbb{L}_2 )(ℝ2) and oriented wavelet φ ∈ (mathbb{L}_2 )(ℝ2). Because this representation is reducible, the general wavelet reconstruction theorem does not apply. By means of reproducing kernel theory, we formulate a new and more general wavelet theory, which is applied to our specific case. As a result we can quantify the well-posedness of the reconstruction given the wavelet φ and deal with the question of which oriented wavelet φ is practically desirable in the sense that it both allows a stable reconstruction and a proper detection of local elongated structures. This enables image enhancement by means of left-invariant operators on orientation scores." @default.
• W2087005203 created "2016-06-24" @default.
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• W2087005203 date "2007-09-01" @default.
• W2087005203 modified "2023-10-07" @default.
• W2087005203 title "Invertible Orientation Scores as an Application of Generalized Wavelet Theory" @default.
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• W2087005203 doi "https://doi.org/10.1134/s105466180703011x" @default.
• W2087005203 hasPublicationYear "2007" @default.
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