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INTERNATIONAL JOURNAL OF c 0000 (copyright holder)Institute for Scientific INFORMATION AND SYSTEMS SCIENCES Computing and Information
 

Summary: INTERNATIONAL JOURNAL OF c 0000 (copyright holder)Institute for Scientific
INFORMATION AND SYSTEMS SCIENCES Computing and Information
Volume 00, Number 0, Pages 000000
A NODAL JACOBIAN INVERSE SOLVER FOR REDUCED
COMPLEXITY EIT RECONSTRUCTIONS
B M GRAHAM AND A ADLER
Abstract. Electrical impedance tomography (EIT) uses surface electrodes
to make measurements from which an image of the conductivity distribution
within some medium is calculated. Calculation of conductivity solutions re-
quires inverting large linear systems that have to date restricted reconstructions
to 2D or coarse 3D domains. This paper presents a Nodal Jacobian Inverse
Solver that scales with the number of nodes in a finite element mesh rather
than with the number of elements. For the example used in this paper the size
of the linear system is reduced by a factor of 26. We validate the algorithm by
comparing its performance to traditional 2D Elemental Jacobian algorithms.
We then analyze its performance with a 21504 element 3D mesh that is too
large to be solved with linear algebra systems based on 32 bit pointers (such
as is available in current versions of Matlab). Finally, we demonstrate the
applicability of the algorithm for clinical use by reconstructing experimentally
measured human lung data.

  

Source: Adler, Andy - Department of Systems and Computer Engineering, Carleton University

 

Collections: Computer Technologies and Information Sciences