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• W2963641666 abstract "We develop a theory of discrete directional Gabor frames for functions defined on the d-dimensional Euclidean space. Our construction incorporates the concept of ridge functions into the theory of isotropic Gabor systems, in order to develop an anisotropic Gabor system with strong directional sensitivity. We present sufficient conditions on a window function g and a sampling set Λω for the corresponding directional Gabor system {gm,t,u}(m,t,u)∈Λω to form a discrete frame. Explicit estimates on the frame bounds are developed. A numerical implementation of our scheme is also presented, and is shown to perform competitively in compression and denoising schemes against state-of-the-art multiscale and anisotropic methods, particularly for images with significant texture components." @default.
• W2963641666 created "2019-07-30" @default.
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• W2963641666 date "2018-07-01" @default.
• W2963641666 modified "2023-09-29" @default.
• W2963641666 title "Discrete directional Gabor frames" @default.
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• W2963641666 doi "https://doi.org/10.1016/j.acha.2016.07.004" @default.
• W2963641666 hasPublicationYear "2018" @default.
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