scholarly journals Solving Inaccuracies in Anatomical Models for Electrocardiographic Inverse Problem Resolution by Maximizing Reconstruction Quality

2018 ◽  
Vol 37 (3) ◽  
pp. 733-740 ◽  
Author(s):  
Miguel Rodrigo ◽  
Andreu M. Climent ◽  
Alejandro Liberos ◽  
Ismael Hernandez-Romero ◽  
Angel Arenal ◽  
...  
Keyword(s):  
Inverse Problem ◽  
Anatomical Models ◽  
Problem Resolution ◽  
Reconstruction Quality

Inverse Scattering Solutions by a Sinc Basis, Multiple Source, Moment Method -- Part II: Numerical Evaluations

1983 ◽  
Vol 5 (4) ◽  
pp. 376-392 ◽  
Author(s):  
Michael L. Tracy ◽  
Steven A. Johnson
Keyword(s):  
Inverse Problem ◽  
Inverse Scattering ◽  
Scattering Problem ◽  
Inverse Scattering Problem ◽  
Incident Radiation ◽  
Multiple Sources ◽  
Reconstruction Quality ◽  
Ill Posed ◽  
Band Limited ◽  
Pseudo Inverse

In part I, we presented a method for solving the inverse scattering problem using multiple sources and detectors. Allowance for multiple angles of incident radiation improves the ill-posed nature of the inverse problem by improving the quality and quantity of information gathered at detector points. This paper describes implementation and numerical evaluation of the method. An 11 by 11 image reconstructed from noisy scattered field data is shown to closely match the original scattering object, and the improvement possible by constraining the reconstruction to be spatially band limited is demonstrated. Furthermore, for a somewhat simpler “pseudo-inverse problem,” we give findings on the effects that detector radius, degree of overdetermination, noise, and object contrast have on reconstruction quality.

Inpainting by an Inverse Problem Resolution

2014 ◽  
Author(s):  
Djaafer Mezhoud ◽  
Fatma Zohra Nouri ◽  
Pierre Spiteri
Keyword(s):  
Inverse Problem ◽  
Problem Resolution

S-Genius, a universal software platform with versatile inverse problem resolution for scatterometry

2013 ◽  
Author(s):  
David Fuard ◽  
Nicolas Troscompt ◽  
Ismael El Kalyoubi ◽  
Sébastien Soulan ◽  
Maxime Besacier
Keyword(s):  
Inverse Problem ◽  
Software Platform ◽  
Problem Resolution

scholarly journals An extrapolation method for projection data fltration in pulsed X-ray tomography

2021 ◽  
Vol 2099 (1) ◽  
pp. 012050
Author(s):  
I P Yarovenko ◽  
I V Prokhorov
Keyword(s):  
Inverse Problem ◽  
Numerical Experiments ◽  
Radiation Transfer ◽  
Projection Data ◽  
Radiation Transfer Equation ◽  
Scattering Medium ◽  
X Ray ◽  
Coefficient Identification ◽  
Reconstruction Quality ◽  
Stationary Radiation

Abstract This paper deals with an inverse problem that consists of an attenuation coefficient identification for the non-stationary radiation transfer equation. To solve the problem, we propose a method that uses several pulses of radiation to extrapolate ideal projection data corresponding to a non-scattering medium. Numerical experiments on the Shepp-Logan phantom show that the method proposed improves the reconstruction quality.

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