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Based on the research and analysis of the evolution process of three different level models, a concept of anisotropic diffusion equation which gathers all the majority of them is introduced. Furthermore, we propose the definition of UPDE (Universal Partial Differential Equations)-a more general equation, which is better in diffusion filtering and also keeps the edge's information in an image at the...
In the last decades, due to the development of the parallel programming, the lattice Boltzmann method (LBM) has attracted much attention as a fast alternative approach for solving partial differential equations. In this paper, we first designed an energy functional based on the fuzzy -means objective function which incorporates the bias field that accounts for the intensity inhomogeneity of the...
Solving Level Set Equation (LSE) by using the classical methods, mostly based on finite differences approximations, costs a lot of computer time particularly when processing high dimensional large-scale data. In recent years, the Lattice Boltzmann Method (LBM) has attracted much attention as a fast alternative approach for solving LSE. The LBM is explicit and highly parallelizable. In this paper,...
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