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| Title: | Estimation of heart-surface potentials using regularized multipole sources | |
| Author (s): | Beetner, Daryl G. Arthur, R.M. | |
| Department/Lab Affiliations: | Electrical and Computer Engineering Electromagnetic Compatibility Laboratory | |
| Keywords: | Constrained least squares Tikhonov regularization bioelectric potentials body-surface potentials boundary-value method boundary-value problems constrained-least-squares technique electrocardiographic inverse solutions electrocardiography heart surface potentials inverse electrocardiology inverse problems least squares approximations multipole expansion multipole-equivalent methods multipole-truncation technique physiological models realistic torso model regularized multipole sources zeroth-order Tikhonov regularization | |
| Issue Date: | 2004 | |
| Publisher: | Institute of Electrical and Electronics Engineers | |
| Citation: | Beetner, D.G.; Arthur, R.M., "Estimation of heart-surface potentials using regularized multipole sources," IEEE Transactions on Biomedical Engineering, vol.51, no.8 pp. 1366- 1373, Aug. 2004 | |
| Abstract: | Direct inference of heart-surface potentials from body-surface potentials has been the goal of most recent work on electrocardiographic inverse solutions. We developed and tested indirect methods for inferring heart-surface potentials based on estimation of regularized multipole sources. Regularization was done using Tikhonov, constrained-least-squares, and multipole-truncation techniques. These multipole-equivalent methods (MEMs) were compared to the conventional mixed boundary-value method (BVM) in a realistic torso model with up to 20% noise added to body-surface potentials and /spl plusmn/1 cm error in heart position and size. Optimal regularization was used for all inverse solutions. The relative error of inferred heart-surface potentials of the MEM was significantly less (p less than 0.05) than that of the BVM using zeroth-order Tikhonov regularization in 10 of the 12 cases tested. These improvements occurred with a fourth-degree (24 coefficients) or smaller multipole moment. From these multipole coefficients, heart-surface potentials can be found at an unlimited number of heart-surface locations. Our indirect methods for estimating heart-surface potentials based on multipole inference appear to offer significant improvement over the conventional direct approach. | |
| Type: | Article - Journal text | |
| Copyright Notice: | This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holder. FULL COPYRIGHT INFORMATION: | |
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| title | Estimation of heart-surface potentials using regularized multipole sources | |
| contributor.author | Beetner, Daryl G. | |
| contributor.author | Arthur, R.M. | |
| contributor.deptlab | Electrical and Computer Engineering | |
| contributor.deptlab | Electromagnetic Compatibility Laboratory | |
| subject | Constrained least squares | |
| subject | Tikhonov regularization | |
| subject | bioelectric potentials | |
| subject | body-surface potentials | |
| subject | boundary-value method | |
| subject | boundary-value problems | |
| subject | constrained-least-squares technique | |
| subject | electrocardiographic inverse solutions | |
| subject | electrocardiography | |
| subject | heart surface potentials | |
| subject | inverse electrocardiology | |
| subject | inverse problems | |
| subject | least squares approximations | |
| subject | multipole expansion | |
| subject | multipole-equivalent methods | |
| subject | multipole-truncation technique | |
| subject | physiological models | |
| subject | realistic torso model | |
| subject | regularized multipole sources | |
| subject | zeroth-order Tikhonov regularization | |
| date.issued | 2004 | |
| date.submitted | 2007 | |
| publisher | Institute of Electrical and Electronics Engineers | |
| identifier.citation | Beetner, D.G.; Arthur, R.M., "Estimation of heart-surface potentials using regularized multipole sources," IEEE Transactions on Biomedical Engineering, vol.51, no.8 pp. 1366- 1373, Aug. 2004 | |
| identifier.issn | 0018-9294 | |
| identifier.pub.URI | ||
| description.abstract | Direct inference of heart-surface potentials from body-surface potentials has been the goal of most recent work on electrocardiographic inverse solutions. We developed and tested indirect methods for inferring heart-surface potentials based on estimation of regularized multipole sources. Regularization was done using Tikhonov, constrained-least-squares, and multipole-truncation techniques. These multipole-equivalent methods (MEMs) were compared to the conventional mixed boundary-value method (BVM) in a realistic torso model with up to 20% noise added to body-surface potentials and /spl plusmn/1 cm error in heart position and size. Optimal regularization was used for all inverse solutions. The relative error of inferred heart-surface potentials of the MEM was significantly less (p less than 0.05) than that of the BVM using zeroth-order Tikhonov regularization in 10 of the 12 cases tested. These improvements occurred with a fourth-degree (24 coefficients) or smaller multipole moment. From these multipole coefficients, heart-surface potentials can be found at an unlimited number of heart-surface locations. Our indirect methods for estimating heart-surface potentials based on multipole inference appear to offer significant improvement over the conventional direct approach. | |
| type | Article - Journal | |
| type.DCMIType | text | |
| type.status | Final version | |
| rights | This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holder. | |
| rights.URI | ||
| date.accessioned | 2007-04-05T14:20:10Z | |
| date.available | 2007-04-05T14:20:10Z | |
| identifier.persist.URI | ||
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