Enhanced Electrical Impedance
Tomography via the Mumford–Shah Functional

Luca Rondi; Fadil Santosa

Displaying similar documents to “Enhanced Electrical Impedance Tomography via the Mumford–Shah Functional”

Enhanced electrical impedance tomography via the Mumford–Shah functional

Luca Rondi, Fadil Santosa (2001)

ESAIM: Control, Optimisation and Calculus of Variations

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We consider the problem of electrical impedance tomography where conductivity distribution in a domain is to be reconstructed from boundary measurements of voltage and currents. It is well-known that this problem is highly illposed. In this work, we propose the use of the Mumford–Shah functional, developed for segmentation and denoising of images, as a regularization. After establishing existence properties of the resulting variational problem, we proceed by demonstrating the approach...

Fractional regularization term for variational image registration.

Verdú-Monedero, Rafael, Larrey-Ruiz, Jorge, Morales-Sánchez, Juan, Sancho-Gómez, José Luis (2009)

Mathematical Problems in Engineering

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Discrete approximation of the Mumford-Shah functional in dimension two

Antonin Chambolle, Gianni Dal Maso (2010)

ESAIM: Mathematical Modelling and Numerical Analysis

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The Mumford-Shah functional, introduced to study image segmentation problems, is approximated in the sense of vergence by a sequence of integral functionals defined on piecewise affine functions.