A comparison of different choices for the regularization parameter in inverse electrocardiography models

Shou, G F, Feng, M, Xia,, Wei, Q., Liu, F and Crozier, S (2006). A comparison of different choices for the regularization parameter in inverse electrocardiography models. In: Proceedings of the 28th Annual IEEE Engineering in Medicine and Biology Society Annual International Conference. 28th Annual International Conference IEEE Engineering in Medicine and Biology Society, New York, U.S.A., (3903-3906). 30 August - 3 September, 2006.


Author Shou, G F
Feng, M
Xia,
Wei, Q.
Liu, F
Crozier, S
Title of paper A comparison of different choices for the regularization parameter in inverse electrocardiography models
Conference name 28th Annual International Conference IEEE Engineering in Medicine and Biology Society
Conference location New York, U.S.A.
Conference dates 30 August - 3 September, 2006
Proceedings title Proceedings of the 28th Annual IEEE Engineering in Medicine and Biology Society Annual International Conference   Check publisher's open access policy
Place of Publication USA
Publisher IEEE
Publication Year 2006
Sub-type Fully published paper
ISSN 1557-170X
Volume 1
Issue 1
Start page 3903
End page 3906
Total pages 4
Collection year 2006
Abstract/Summary Calculating the potentials on the heart’s epicardial surface from the body surface potentials constitutes one form of inverse problems in electrocardiography (ECG). Since these problems are ill-posed, one approach is to use zero-order Tikhonov regularization, where the squared norms of both the residual and the solution are minimized, with a relative weight determined by the regularization parameter. In this paper, we used three different methods to choose the regularization parameter in the inverse solutions of ECG. The three methods include the L-curve, the generalized cross validation (GCV) and the discrepancy principle (DP). Among them, the GCV method has received less attention in solutions to ECG inverse problems than the other methods. Since the DP approach needs knowledge of norm of noises, we used a model function to estimate the noise. The performance of various methods was compared using a concentric sphere model and a real geometry heart-torso model with a distribution of current dipoles placed inside the heart model as the source. Gaussian measurement noises were added to the body surface potentials. The results show that the three methods all produce good inverse solutions with little noise; but, as the noise increases, the DP approach produces better results than the L-curve and GCV methods, particularly in the real geometry model. Both the GCV and L-curve methods perform well in low to medium noise situations.
Subjects E1
291500 Biomedical Engineering
729901 Technological and organisational innovation
0903 Biomedical Engineering
Keyword Electrocardiography
Inverse problem
L-curve
GCV
Discrepancy principle
Q-Index Code E1

 
Versions
Version Filter Type
Citation counts: Scopus Citation Count Cited 0 times in Scopus Article
Google Scholar Search Google Scholar
Access Statistics: 116 Abstract Views  -  Detailed Statistics
Created: Thu, 23 Aug 2007, 22:13:08 EST