Abstract
We present a variational model for image texture identification. We first use a second order model introduced in Bergounioux and Piffet (Set Valued Variational Anal. 18(3–4):277–306 (2010)) for image denoising. The model involves a L 2-data fitting term and a Tychonov-like regularization. We choose here the BV 2 norm, where BV 2 is the bounded hessian function space (see Bergounioux and Piffet, Set Valued Variational Anal. 18(3–4):277–306 (2010)). We observe that results are not satisfying since geometrical information appears in the oscillating component and should not. So we propose an anisotropic strategy, by setting components of the discrete hessian operator to 0 in order to focus on gradient directions. We precisely describe and illustrate the numerical methodology. Finally, we propose some numerical tests.
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Piffet, L. (2011). A Locally Anisotropic Model for Image Texture Extraction. In: Bergounioux, M. (eds) Mathematical Image Processing. Springer Proceedings in Mathematics, vol 5. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-19604-1_8
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DOI: https://doi.org/10.1007/978-3-642-19604-1_8
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