Improving the Spatial Solution of Electrocardiographic Imaging: A New Regularization Parameter Choice Technique for the Tikhonov Method
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| hal.structure.identifier | IHU-LIRYC | |
| hal.structure.identifier | Modélisation et calculs pour l'électrophysiologie cardiaque [CARMEN] | |
| dc.contributor.author | CHAMORRO-SERVENT, Judit | |
| hal.structure.identifier | Centre de recherche Cardio-Thoracique de Bordeaux [Bordeaux] [CRCTB] | |
| hal.structure.identifier | IHU-LIRYC | |
| dc.contributor.author | DUBOIS, Rémi | |
| hal.structure.identifier | IHU-LIRYC | |
| hal.structure.identifier | Modélisation et calculs pour l'électrophysiologie cardiaque [CARMEN] | |
| dc.contributor.author | POTSE, Mark | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| hal.structure.identifier | IHU-LIRYC | |
| hal.structure.identifier | Modélisation et calculs pour l'électrophysiologie cardiaque [CARMEN] | |
| dc.contributor.author | COUDIÈRE, Yves | |
| dc.contributor.editor | Mihaela Pop | |
| dc.contributor.editor | Graham A. Wright | |
| dc.date.accessioned | 2024-04-04T03:09:42Z | |
| dc.date.available | 2024-04-04T03:09:42Z | |
| dc.date.created | 2017-06-11 | |
| dc.date.issued | 2017 | |
| dc.date.conference | 2017-06-11 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/193629 | |
| dc.description.abstractEn | The electrocardiographic imaging (ECGI) inverse problem is highly ill-posed and regularization is needed to stabilize the problem and to provide a unique solution. When Tikhonov regularization is used, choosing the regulariza-tion parameter is a challenging problem. Mathematically, a suitable value for this parameter needs to fulfill the Discrete Picard Condition (DPC). In this study, we propose two new methods to choose the regularization parameter for ECGI with the Tikhonov method: i) a new automatic technique based on the DPC, which we named ADPC, and ii) the U-curve method, introduced in other fields for cases where the well-known L-curve method fails or provides an over-regularized solution , and not tested yet in ECGI. We calculated the Tikhonov solution with the ADPC and U-curve parameters for in-silico data, and we compared them with the solution obtained with other automatic regularization choice methods widely used for the ECGI problem (CRESO and L-curve). ADPC provided a better correlation coefficient of the potentials in time and of the activation time (AT) maps, while less error was present in most of the cases compared to the other methods. Furthermore, we found that for in-silico spiral wave data, the L-curve method over-regularized the solution and the AT maps could not be solved for some of these cases. U-curve and ADPC provided the best solutions in these last cases. | |
| dc.description.sponsorship | L'Institut de Rythmologie et modélisation Cardiaque - ANR-10-IAHU-0004 | |
| dc.language.iso | en | |
| dc.publisher | Springer International Publishing | |
| dc.source.title | Lecture Notes in Computer Science | |
| dc.subject.en | inverse problem | |
| dc.subject.en | regularization | |
| dc.subject.en | electrocardiographic imaging | |
| dc.subject.en | po- tentials | |
| dc.subject.en | Tikhonov regularization | |
| dc.subject.en | ill-posed problems | |
| dc.subject.en | discrete picard condition | |
| dc.subject.en | u-curve | |
| dc.title.en | Improving the Spatial Solution of Electrocardiographic Imaging: A New Regularization Parameter Choice Technique for the Tikhonov Method | |
| dc.type | Communication dans un congrès | |
| dc.identifier.doi | 10.1007/978-3-319-59448-4_28 | |
| dc.subject.hal | Informatique [cs]/Imagerie médicale | |
| dc.subject.hal | Mathématiques [math] | |
| dc.subject.hal | Sciences du Vivant [q-bio]/Ingénierie biomédicale/Imagerie | |
| bordeaux.page | 289-300 | |
| bordeaux.volume | 10263 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.conference.title | 9th International Conference on Functional Imaging and Modelling of the Heart - FIMH 2017 | |
| bordeaux.country | CA | |
| bordeaux.title.proceeding | Lecture Notes in Computer Science | |
| bordeaux.conference.city | Toronto | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-01564899 | |
| hal.version | 1 | |
| hal.invited | non | |
| hal.proceedings | oui | |
| hal.conference.end | 2017-06-13 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-01564899v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.btitle=Lecture%20Notes%20in%20Computer%20Science&rft.date=2017&rft.volume=10263&rft.spage=289-300&rft.epage=289-300&rft.au=CHAMORRO-SERVENT,%20Judit&DUBOIS,%20R%C3%A9mi&POTSE,%20Mark&COUDI%C3%88RE,%20Yves&rft.genre=unknown |
Fichier(s) constituant ce document
| Fichiers | Taille | Format | Vue |
|---|---|---|---|
|
Il n'y a pas de fichiers associés à ce document. |
|||