Hyperbolic wavelet leaders for anisotropic multifractal texture analysis

Abstract : Scale invariance has proven a crucial concept in texture modeling and analysis. Isotropic and self-similar fractional Brownian fields (2D-fBf) are often used as the natural reference process to model scale free textures. Its analysis is standardly conducted using the 2D discrete wavelet transform. Generalizations of 2D-fBf were considered independently in two respects: Anisotropy in the texture is allowed while preserving exact self-similarity, analysis then needs to be conducted using the 2D-Hyperbolic wavelet transform; Multifractality enables more versatile scale free models but requires isotropy, analysis is then achieved using wavelet leaders. The present paper proposes a first unifying extension, which is enabled through the following two key contributions: The definition of 2D process that incorporates jointly anisotropy and multi-fractality : The definition of the corresponding analysis tool, the hyperbolic wavelet leaders. Their relevance are studied by numerical simulations using synthetic scale free textures.
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  • OATAO : 17201

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Stéphane G. Roux, Patrice Abry, Béatrice Vedel, Stéphane Jaffard, Herwig Wendt. Hyperbolic wavelet leaders for anisotropic multifractal texture analysis. IEEE International Conference on Image Processing (ICIP 2016), Sep 2016, Phoenix, United States. pp. 3558-3562. ⟨hal-01447355⟩

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