A shape reconstruction method for electromagnetic tomography using adjoint fields and level sets

By Oliver Dorn, Eric Lawrence Miller, C. Rappaport. 2000

276 citations recorded by the source corpus.

Subfields: Biomedical Engineering, Mathematical Physics, Ocean Engineering

View Paper: https://www.semanticscholar.org/paper/290d6e0599e4afee545fb288975f26890bd624be

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Biomedical Engineering

1. Martin Burger
2. Stanley J. Osher
3. Eric T. Chung
4. Xuecheng Tai
5. Tony F. Chan
6. Hongwei Li
7. Peter K. Kitanidis
8. Michael Cardiff

In Mathematical Physics

1. Xuecheng Tai
2. Tony F. Chan
3. Stanley J. Osher
4. Hongwei Li
5. Martin Burger
6. Peter K. Kitanidis
7. Michael Cardiff
8. Eric T. Chung

In Ocean Engineering

1. Martin Burger
2. Eric T. Chung
3. Xuecheng Tai
4. Tony F. Chan
5. Stanley J. Osher
6. Hongwei Li
7. Peter K. Kitanidis
8. Michael Cardiff

Citations in the corpus

• Incorporating topological derivatives into level set methods (2004, unknown): “Keywords: Level Set Method, Topology Optimization, Shape Reconstruction, Shape Derivative, Topological Derivative, Hamilton-Jacobi Equations AMS Subject Classification: 65J20, 49Q10, 49L99, 35C44, 35R30.”
• Electrical impedance tomography using level set representation and total variational regularization (2005, methodology): “In [ 15 ], level set method has also been applied to solve an electromagnetic tomography problem with the model given by the Helmholtz equation.”
• Bayesian inversion for facies detection: An extensible level set framework (2009, methodology): “[16] In prior applications of level set–based inversion, it is commonly assumed that the parameter values within each material or facies are known [Santosa, 1996; Litman et al., 1998; Dorn et al., 2000].”
• EIT reconstruction algorithms: pitfalls, challenges and recent developments (2003, unknown): “One exampleis to assume that the conductivity is piecewise constant on smooth domains and reconstruct the shapes parameterized by Fourier series [38, 39] or by level sets [ 25 ].”
• A survey on level set methods for inverse problems and optimal design (2005, methodology): “[47, 49, 48] applied level set based gradient methods to electromagnetic tomography in different situations.”
• A piecewise constant level set method for elliptic inverse problems (2007, methodology): “Recently, the level set method, firstly proposed by Osher and Sethian in [25], has been extended and used for this kind of problems in [4, 8, 12, 17, 26, 14, 1, 2, 3].”