STATISTICAL MODELING OF THE GEOMETRIC ERROR IN CARDIAC ELECTRICAL IMAGING


Aydin U., SERİNAĞAOĞLU DOĞRUSÖZ Y.

IEEE Internaional Symposium on Biomedical Imaging - From Nano to Macro, Massachusetts, Amerika Birleşik Devletleri, 28 Haziran - 01 Temmuz 2009, ss.442-445 identifier identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Doi Numarası: 10.1109/isbi.2009.5193079
  • Basıldığı Şehir: Massachusetts
  • Basıldığı Ülke: Amerika Birleşik Devletleri
  • Sayfa Sayıları: ss.442-445
  • Anahtar Kelimeler: Kalman Filter, Bayesian MAP estimation, Geometric Errors, Inverse ECG
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

Kalman filter approach provides a natural way to include the spatio-temporal prior information in cardiac electrical imaging. This study focuses on the performance of Kalman filter approach with geometric errors present in inverse Electrocardiography (ECG) problem. The geometric errors considered here are the wrong determination of the heart's size and location. In addition to Kalman filtering, we also compare the performances of Tikhonov regularization and Bayesian MAP estimation when geometric errors are present. After presenting the effects of geometric errors on the solutions, a possible model to reduce the effects of the geometric errors in the inverse ECG problem for Bayes-MAP and Kalman solution is studied. To this purpose, a method that is suggested to overcome modeling errors in inverse problem solutions by Heino et. al. is modified and its effectiveness for inverse ECG problem is shown. Here the main idea is to assume geometric errors as additive noise and adding them to the covariance matrices used in the algorithms [1]. To the best of our knowledge, this is the first study in which it has been applied to the inverse problem of ECG.