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Considered regions – convex functions  

Considered regions – convex functions  

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Fig.1. Considered regions – convex functions  
Fig.2. Zero-level set
Fig.3. Cross-section of the capacitor The potential distribution is...
Fig.4. Iteration process for α =0.8
+1 Fig.6. Iteration process for α =0.9  
Level Set Method in Inverse Problem Solution
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  • Jan 2009
The optimal shape design of the capacitor with Laplace equation of state and inverse problem solution in Electrical Impedance Tomography using level set method are presented in the paper. The inverse problem solution determines the positions of capacitor plates, which were optimized to achieve required potential distribution, while the inverse prob...
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... an interface Γ and region Ω its subsequent motion under a velocity field was analyzed and computed. The level set function ϕ has the following properties (see Fig. 1) [6,7]: The level set method allows to move the interface Γ along the direction V r within a neighborhood of Γ. To derive the equation for level set function, ...
Context 2
... 9 and 10 present the iteration process for two different locations of the region with different conductivity. In Fig. 9 the solution after 25 iterations and in Fig 10 -after 50 iterations are shown. ...