1. What are the contributions in this paper?
This work deals with image processing based upon non-linear diffusion PDEs ( Partial Differential Equations ).
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Analytic formulation for 3D diffusion tensor
Carlos A. Platero,G. Asensio,P. Gonzalez,María Carmen Tobar,Javier Sanguino,José Manuel Poncela +5 more
- 01 Aug 2008
- pp 459-464
TL;DR: In this article, an analytic formulation was introduced to obtain the 3D diffusion tensor, replacing Jacobi´s numerical methods by expressions based on invariants of the symmetric matrix.
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Abstract: This work deals with image processing based upon non-linear diffusion PDEs (Partial Differential Equations). Some analytic formulation will be introduced to obtain the 3D diffusion tensor, replacing Jacobi´s numerical methods by expressions based on invariants of the symmetric matrix. Later, CED (Coherence Enhancing Filtering) anisotropic filtering properties will be observed and will be combined with isotropic diffusion, providing a type of filtering that allows combining noise removal and local structure preservation. Last, some applications 3D grey-level will be presented.
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References
Coherence-Enhancing Diffusion Filtering
TL;DR: This work presents a multiscale method in which a nonlinear diffusion filter is steered by the so-called interest operator (second-moment matrix, structure tensor), and an m-dimensional formulation of this method is analysed with respect to its well-posedness and scale-space properties.
926
Linearization and return mapping algorithms for elastoplasticity models
G. Asensio,C. Moreno +1 more
TL;DR: In this paper, a unified approach is presented in such a way that a simple closed-form expression gives the consistent tangent matrix for the classical constitutive relations (von Mises, Tresca, Mohr-Coulomb, Drucker-Prager).
18
A Scheme for Coherence-Enhancing Diffusion Filtering with Optimized Rotation Invariance
Joachim Weickert,Hanno Scharr +1 more
TL;DR: A novel algorithm based on 5×5 stencils is investigated, which demonstrates its superior behavior with respect to the following properties: rotation invariance, avoidance of blurring artifacts (dissipativity), and accuracy.