/SIES

Shape identification in electro-sensing

Primary LanguageMATLAB

SIES

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: han.wang@ens.fr