Recovery of Myocardial Kinematic Function without the Time History of External Loads

A time-domain filtering algorithm is proposed to recover myocardial kinematic function using output-only measurements without the time history of external loads. The main contribution of this work is that the overall effect of all the external loads on the myocardium is treated as a random variable...

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Main Authors: Heye Zhang, Bo Li, Alistair A. Young, Peter J. Hunter
Format: Article
Language:English
Published: SpringerOpen 2010-01-01
Series:EURASIP Journal on Advances in Signal Processing
Online Access:http://dx.doi.org/10.1155/2010/310473
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author Heye Zhang
Bo Li
Alistair A. Young
Peter J. Hunter
author_facet Heye Zhang
Bo Li
Alistair A. Young
Peter J. Hunter
author_sort Heye Zhang
collection DOAJ
description A time-domain filtering algorithm is proposed to recover myocardial kinematic function using output-only measurements without the time history of external loads. The main contribution of this work is that the overall effect of all the external loads on the myocardium is treated as a random variable disturbed by the Gaussian white noise because the external loads of the myocardium are usually unknown in practical exercises. The kernel of our proposed algorithm is an iterative, multiframe, and sequential filtering procedure consisting of a Kalman filter and a least-squares filter. In our proposed implementation, the initial guess of myocardial kinematic function and residual innovation of all the state variables are first computed using a Kalman filter via state space equations only driven by the Gaussian white noise, and then the residual innovation is fed into a least-squares filter to estimate the total external loads of the myocardium. In the end, the initial guess of myocardial kinematic function is corrected using external loads provided by the least-squares filter. After the introduction of the whole structure of our algorithm, we demonstrate the ability of the framework on synthetic data and MR image sequences.
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spelling doaj.art-d7da54f1943d4d8e9374ae983983b0132022-12-22T01:01:11ZengSpringerOpenEURASIP Journal on Advances in Signal Processing1687-61721687-61802010-01-01201010.1155/2010/310473Recovery of Myocardial Kinematic Function without the Time History of External LoadsHeye ZhangBo LiAlistair A. YoungPeter J. HunterA time-domain filtering algorithm is proposed to recover myocardial kinematic function using output-only measurements without the time history of external loads. The main contribution of this work is that the overall effect of all the external loads on the myocardium is treated as a random variable disturbed by the Gaussian white noise because the external loads of the myocardium are usually unknown in practical exercises. The kernel of our proposed algorithm is an iterative, multiframe, and sequential filtering procedure consisting of a Kalman filter and a least-squares filter. In our proposed implementation, the initial guess of myocardial kinematic function and residual innovation of all the state variables are first computed using a Kalman filter via state space equations only driven by the Gaussian white noise, and then the residual innovation is fed into a least-squares filter to estimate the total external loads of the myocardium. In the end, the initial guess of myocardial kinematic function is corrected using external loads provided by the least-squares filter. After the introduction of the whole structure of our algorithm, we demonstrate the ability of the framework on synthetic data and MR image sequences.http://dx.doi.org/10.1155/2010/310473
spellingShingle Heye Zhang
Bo Li
Alistair A. Young
Peter J. Hunter
Recovery of Myocardial Kinematic Function without the Time History of External Loads
EURASIP Journal on Advances in Signal Processing
title Recovery of Myocardial Kinematic Function without the Time History of External Loads
title_full Recovery of Myocardial Kinematic Function without the Time History of External Loads
title_fullStr Recovery of Myocardial Kinematic Function without the Time History of External Loads
title_full_unstemmed Recovery of Myocardial Kinematic Function without the Time History of External Loads
title_short Recovery of Myocardial Kinematic Function without the Time History of External Loads
title_sort recovery of myocardial kinematic function without the time history of external loads
url http://dx.doi.org/10.1155/2010/310473
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