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Adaptive placement of the pseudo-boundaries improves the conditioning of the inverse problem

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  • معلومة اضافية
    • Contributors:
      Institut de Mathématiques de Bordeaux (IMB); Université de Bordeaux (UB)-Institut Polytechnique de Bordeaux (Bordeaux INP)-Centre National de la Recherche Scientifique (CNRS); IHU-LIRYC; Université Bordeaux Segalen - Bordeaux 2-Centre Hospitalier Universitaire de Bordeaux (CHU Bordeaux); Modélisation et calculs pour l'électrophysiologie cardiaque (CARMEN); Université de Bordeaux (UB)-Institut Polytechnique de Bordeaux (Bordeaux INP)-Centre National de la Recherche Scientifique (CNRS)-Université de Bordeaux (UB)-Institut Polytechnique de Bordeaux (Bordeaux INP)-Centre National de la Recherche Scientifique (CNRS)-Centre Inria de l'Université de Bordeaux; Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-IHU-LIRYC; Université Bordeaux Segalen - Bordeaux 2-Centre Hospitalier Universitaire de Bordeaux (CHU Bordeaux)-Université Bordeaux Segalen - Bordeaux 2-Centre Hospitalier Universitaire de Bordeaux (CHU Bordeaux); Institut National de la Santé et de la Recherche Médicale (INSERM); Centre de recherche Cardio-Thoracique de Bordeaux Bordeaux (CRCTB); Université de Bordeaux (UB)-Centre Hospitalier Universitaire de Bordeaux (CHU Bordeaux)-Institut National de la Santé et de la Recherche Médicale (INSERM); This study received financial support from the French Government as part of the “Investments of the Future” program managed by the National Research Agency (ANR), Grant reference ANR-10-IAHU-04 and from the Conseil Régional Aquitaine as part of the project “Assimilation de données en cancérologie et cardiologie”.; ANR-10-IAHU-0004,LIRYC,L'Institut de Rythmologie et modélisation Cardiaque(2010)
    • بيانات النشر:
      CCSD
    • الموضوع:
      2016
    • Collection:
      Inserm: HAL (Institut national de la santé et de la recherche médicale)
    • الموضوع:
    • الموضوع:
      Vancouver, Canada
    • نبذة مختصرة :
      International audience ; Meshing the heart and measurement surfaces can be time consuming, especially when dealing with complicated geometries or cardiac motion. To overcome this, a meshless method based on the method of fundamental solutions (MFS) has been adapted to non-invasive electrocardiographic imaging (ECGI). In the MFS, potentials are expressed as a summation over a discrete set of virtual point sources placed outside of the domain of interest (named 'pseudo-boundary'). It is well-known that optimal placement of the pseudo-boundary can improve the efficacy of the MFS. Despite this, there have been no attempts to optimize their placement in the ECGI problem as far as we are aware. In the standard MFS, the sources are placed in two pseudo-boundaries constructed by inflating and deflating the heart and torso surfaces with respect to the geometric center of the heart. However, for some heart-torso geometries, this geometric center is a poor reference. We here show that adaptive placement of the pseudo-boundaries (depending on the distance between the torso electrodes and the nearest heart locations) improves the conditioning of the inverse problem, making it less sensitive to the regularization process.
    • الدخول الالكتروني :
      https://inria.hal.science/hal-01379271
      https://inria.hal.science/hal-01379271v1/document
      https://inria.hal.science/hal-01379271v1/file/294_file_cinc_manuscript.pdf
    • Rights:
      info:eu-repo/semantics/OpenAccess
    • الرقم المعرف:
      edsbas.B0CF2D6E