Title :
Inverse problem in electrocardography via the factorization method of boundary value problems
Author :
Bouyssier, Julien ; Zemzemi, Nejib ; Henry, Jacques
Author_Institution :
Centre Bordeaux Sud-Ouest, INRIA, Bordeaux, France
Abstract :
We present a new mathematical approach for solving the inverse problem in electrocardiography. This approach is based on the factorization of boundary value problems method. In this paper we derive the mathematical equations and test this method on synthetical data generated on realistic heart and torso geometries using the state-of-the-art bidomain model in the heart coupled to the Laplace equation in the torso. We measure the accuracy of the inverse solution using spatial Relative Error (RE) and Correlation Coefficient (CC).
Keywords :
Laplace equations; boundary-value problems; computational geometry; electrocardiography; inverse problems; Laplace equation; boundary value problem; correlation coefficient; electrocardiography; factorization method; inverse problem; inverse solution accuracy; mathematical equation; realistic heart geometry; realistic torso geometry; spatial relative error; state-of-the-art bidomain model; Boundary value problems; Electric potential; Heart; Inverse problems; Mathematical model; Three-dimensional displays; Torso; Inverse problem; Riccati equations; boundary value problems; electrocardiagraphic imaging (ECGI); electrocardiography; factorization method;
Conference_Titel :
Biomedical Imaging (ISBI), 2015 IEEE 12th International Symposium on
Conference_Location :
New York, NY
DOI :
10.1109/ISBI.2015.7163979