Shape identification in electro-sensing.

This library deals with the problem of shape identification in some inverse problems with electric or acoustic measurements. It allows to reproduce some numerical results of the following papers:

1. Target identification using dictionary matching of generalized polarization tensors, in Foundations of Computational Mathematics, 2014
2. Tracking of a Mobile Target Using Generalized Polarization Tensors, in SIAM Journal on Imaging Sciences, 2013
3. Shape recognition and classification in electro-sensing, submitted to Proceedings of the National Academy of Sciences of the United States of America, 2013
4. Wavelet methods for shape perception in electro-sensing, submitted to Mathematics of Computation, 2013
5. Shape identification and classification in echolocation, submitted to Mathematics of Computation, 2013

The library is written in Matlab object-oriented programming language and is organized in the following manner:

• +acq: classes of acquisition system
• +asymp: asymptotic expansions, CGPT, Scattering coefficients etc.
• +dico: tools for shape identification in a dictionary
• +ops: classes of layer potentials
• +PDE: classes of PDE modeling for the simulation and solution of inverse problems
• +shape: classes for C2 smooth domain
• +tools: functions of utility
• +tracking: functions for tracking of a mobile target
• +wavelet: classes of wavelet representation for shape perception
• examples: demos scripts

For usage of the package, go to the path examples/ and run the demo scripts. Your suggestions and remarks are welcome.

Author: Han Wang, Email: [email protected]