Microwave imaging-complex permittivity reconstruction with a Levenberg-Marquardt method
- 1 February 1997
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Antennas and Propagation
- Vol. 45 (2) , 203-215
- https://doi.org/10.1109/8.560338
Abstract
This paper refers to quantitative reconstruction of the dielectric and conductive property distributions of biological objects by means of active microwave imaging. An iterative reconstruction algorithm based on the Levenberg-Marquardt method is tested with synthetic data. The influence of the receiver geometry is investigated and two methods for choosing the regularization parameter, an empirical method and generalized cross validation (GCV) method, are examined.Keywords
This publication has 30 references indexed in Scilit:
- Practical optimal regularization of large linear systemsESAIM: Mathematical Modelling and Numerical Analysis, 1986
- A Solution of Electromagnetic Imaging Using Pseudoinverse TransformationIEEE Transactions on Medical Imaging, 1984
- Newton-Kantorovitch algorithm applied to an electromagnetic inverse problemIEEE Transactions on Antennas and Propagation, 1981
- Dielectric Properties of Biological Substances — TabulatedJournal of Microwave Power, 1980
- Generalized Cross-Validation as a Method for Choosing a Good Ridge ParameterTechnometrics, 1979
- Smoothing noisy data with spline functionsNumerische Mathematik, 1978
- Practical Approximate Solutions to Linear Operator Equations When the Data are NoisySIAM Journal on Numerical Analysis, 1977
- Equations for Calculating the Dielectric Constant of Saline Water (Correspondence)IEEE Transactions on Microwave Theory and Techniques, 1971
- Generalized Inverses, Ridge Regression, Biased Linear Estimation, and Nonlinear EstimationTechnometrics, 1970
- Smoothing by spline functionsNumerische Mathematik, 1967