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Detection of Architectural Distortion in Prior Mammograms via Analysis of Oriented Patterns
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Published on: August 30, 2013

Calderón's method on an elliptical domain.

P A Muller1, D Isaacson, J C Newell

  • 1Department of Mathematics, Rensselaer Polytechnic Institute, Troy, NY 12180, USA. mullep@rpi.edu

Physiological Measurement
|May 31, 2013
PubMed
Summary
This summary is machine-generated.

This study presents an electrical impedance tomography reconstruction algorithm for elliptical domains, improving medical imaging of lung and heart function by reducing artifacts compared to circular models.

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Area of Science:

  • Medical Imaging
  • Computational Electromagnetics
  • Inverse Problems

Background:

  • Electrical impedance tomography (EIT) is explored for monitoring lung and heart function.
  • Current EIT algorithms are limited to circular domains, which do not accurately represent the elliptical human thorax.
  • This discrepancy leads to artifacts in medical imaging.

Purpose of the Study:

  • To develop and validate an EIT reconstruction algorithm for elliptical domains.
  • To address the limitations of circular domain modeling in EIT for thorax imaging.
  • To reduce image artifacts in EIT by employing accurate domain representation.

Main Methods:

  • A novel reconstruction algorithm based on Calderón's work on the inverse conductivity problem is derived.
  • The algorithm is adapted for an elliptical domain.
  • A transformed Dirichlet-to-Neumann map is utilized within the reconstruction process.

Main Results:

  • Experimental results from an elliptical tank demonstrate the algorithm's performance.
  • The use of correct elliptical domain modeling significantly reduces image artifacts.
  • The derived algorithm shows improved accuracy for non-circular geometries.

Conclusions:

  • Accurate domain modeling is crucial for enhancing EIT image quality.
  • The developed elliptical domain algorithm offers a more precise approach for thorax imaging.
  • This advancement has the potential to improve EIT applications in medical diagnostics.