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Items for "inverse problems"

Standard errors and confidence intervals in inverse problems: sensitivity and associated pitfalls

We review the asymptotic theory for standard errors in classical ordinary least squares (OLS) inverse or parameter estimation problems involving general nonlinear dynamical systems where sensitivity matrices can be used to compute the asymptotic covariance matrices...

Keywords: inverse problems, standard errors, dynamical systems, parameter estimation, sensitivity matrices, asymptotic theory

04/2007 | Journal of Inverse and Ill-posed Problems, Walter de Gruyter

Parameter estimation versus homogenization techniques in time-domain characterization of composite dielectrics

We compare an inverse problem approach to parameter estimation with homogenization techniques for characterizing the electrical response of composite dielectric materials in the time domain...

Keywords: homogenization, electromagnetic interrogation, inverse problems, parameter estimation, complex dielectric materials, distributions of relaxation parameters, Maxwell-Garnett mixing rule

05/2007 | Journal of Inverse and Ill-posed Problems, Walter de Gruyter

Regularization by dynamic programming

We investigate continuous regularization methods for linear inverse problems of static and dynamic type...

Keywords: regularization, dynamic programming, inverse problems, HamiltonJacobi equation, electrical impedance tomography, dynamic inverse problems

06/2007 | Journal of Inverse and Ill-posed Problems, Walter de Gruyter

Deflectometric Reconstruction of Partially Specular Free-Form Surfaces

Measuring surface shape by means of deflectometric reconstruction, a manifold of solutions is obtained if no additional knowledge can be employed...

Keywords: deflectometry, 3D reconstruction, shape-from-shading, inverse problems