IEEE Trans Image Process - Self-similar anisotropic texture analysis: the hyperbolic wavelet transform contribution.

Tópicos

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Resumo

Textures in images can often be well modeled using self-similar processes while they may simultaneously display anisotropy. The present contribution thus aims at studying jointly selfsimilarity and anisotropy by focusing on a specific classical class of Gaussian anisotropic selfsimilar processes. It will be first shown that accurate joint estimates of the anisotropy and selfsimilarity parameters are performed by replacing the standard 2D-discrete wavelet transform with the hyperbolic wavelet transform, which permits the use of different dilation factors along the horizontal and vertical axes. Defining anisotropy requires a reference direction that needs not a priori match the horizontal and vertical axes according to which the images are digitized; this discrepancy defines a rotation angle. Second, we show that this rotation angle can be jointly estimated. Third, a nonparametric bootstrap based procedure is described, which provides confidence intervals in addition to the estimates themselves and enables us to construct an isotropy test procedure, which can be applied to a single texture image. Fourth, the robustness and versatility of the proposed analysis are illustrated by being applied to a large variety of different isotropic and anisotropic self-similar fields. As an illustration, we show that a true anisotropy built-in self-similarity can be disentangled from an isotropic self-similarity to which an anisotropic trend has been superimposed.

Resumo Limpo

textur imag can often well model use selfsimilar process may simultan display anisotropi present contribut thus aim studi joint selfsimilar anisotropi focus specif classic class gaussian anisotrop selfsimilar process will first shown accur joint estim anisotropi selfsimilar paramet perform replac standard ddiscret wavelet transform hyperbol wavelet transform permit use differ dilat factor along horizont vertic axe defin anisotropi requir refer direct need priori match horizont vertic axe accord imag digit discrep defin rotat angl second show rotat angl can joint estim third nonparametr bootstrap base procedur describ provid confid interv addit estim enabl us construct isotropi test procedur can appli singl textur imag fourth robust versatil propos analysi illustr appli larg varieti differ isotrop anisotrop selfsimilar field illustr show true anisotropi builtin selfsimilar can disentangl isotrop selfsimilar anisotrop trend superimpos

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