Abstract
In this paper we present the 3D-implementation of a second-order model for texture extraction that has been fully described in (Bergounioux and Piffet, Set Valued Anal. Variational Anal. 18(3–4):277–306 (2010)). Numerical experimentation has been performed for 2D-images. We generalize the discrete model to the 3D case. In particular we describe the whole discretization process. In addition, we add an algorithmic modification that improves texture extraction using a modified Hessian matrix. We end with numerical examples arising in biomedical imaging.
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Bergounioux, M., Tran, M.P. (2011). A Second Order Model for 3D-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_2
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DOI: https://doi.org/10.1007/978-3-642-19604-1_2
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Online ISBN: 978-3-642-19604-1
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