Small Volume Expansions

  • Habib Ammari
  • Josselin Garnier
  • Wenjia Jing
  • Hyeonbae Kang
  • Mikyoung Lim
  • Knut Sølna
  • Han Wang
Chapter
First Online:
Part of the Lecture Notes in Mathematics book series (LNM, volume 2098)

Abstract

In their most general forms imaging problems are severely ill-posed and nonlinear. These are the main obstacles to find non-iterative reconstruction algorithms. In this chapter we use structural information about the profile of the material property in order to determine specific features about them with a satisfactory resolution.

Keywords

Asymptotic Expansion Asymptotic Formula Helmholtz Equation Polarization Tensor Background Solution 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, log in to check access.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer International Publishing Switzerland 2013

Authors and Affiliations

  • Habib Ammari
    • 1
  • Josselin Garnier
    • 2
  • Wenjia Jing
    • 1
  • Hyeonbae Kang
    • 3
  • Mikyoung Lim
    • 4
  • Knut Sølna
    • 5
  • Han Wang
    • 1
  1. 1.Department of Mathematics and ApplicationsÉcole Normale SupérieureParisFrance
  2. 2.Laboratory of Probability and Random ModUniversity Paris VIIParisFrance
  3. 3.Department of MathematicsInha UniversityIncheonKorea
  4. 4.Department of Mathematical SciencesKorean Advanced Institute of Science and Technology (KASIT)DaejeonKorea
  5. 5.Department of MathematicsUniversity of California Irvine School of Physical SciencesIrvineUSA

Personalised recommendations