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Conference papers
Hyperbolic wavelet leaders for anisotropic multifractal texture analysis
Abstract : Scale invariance has proven a crucial concept in texture mod-eling and analysis. Isotropic and self-similar fractional Brow-nian 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.
Cited literature [20 references]
https://hal.archives-ouvertes.fr/hal-01445950
Contributor : Béatrice Vedel <>
Submitted on : Wednesday, January 25, 2017 - 2:47:31 PM
Last modification on : Sunday, November 22, 2020 - 7:48:07 PM
Long-term archiving on: : Wednesday, April 26, 2017 - 7:02:22 PM
Contributor : Béatrice Vedel <>
Submitted on : Wednesday, January 25, 2017 - 2:47:31 PM
Last modification on : Sunday, November 22, 2020 - 7:48:07 PM
Long-term archiving on: : Wednesday, April 26, 2017 - 7:02:22 PM
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Roux2016ICIP.pdf
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