Comparison of spatial regularization with zero and first order Tikhonov regularization for the inverse problem of electrocardiography

Computers in Cardiology

Volumn , Issue , 2000, Pages 493-496

  Throne, R D ^a   Olson, L G ^b  

^a UNIVERSITY OF NEBRASKA LINCOLN   (United States)

^b NONE

Author keywords

[No Author keywords available]

Indexed keywords

BIOELECTRIC POTENTIALS; CARDIOLOGY; COMPUTER SIMULATION; ESTIMATION; INVERSE PROBLEMS; MATRIX ALGEBRA;

DISCRETE PICARD CONDITION; SPATIAL REGULARIZATION; TIKHONOV REGULARIZATION;

ELECTROCARDIOGRAPHY;

EID: 0034477904     PISSN: 02766574     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (6)

1. Throne RD, Olson LG, Hrabik TJ. A comparison of higher-order generalized eigensystem techniques and Tikhonov regularization for the inverse problem of electrocardiography. Inverse Problems in Engineering 1999; 7:143-193.
2. Colli-Franzone P, Guerri L, Tentoni S, Viganotti C, Baruffi S, Spaggiari S, Taccardi B. A mathematical procedure for solving the inverse potential problem of electrocardiography. Analysis of the time-space accuracy from in vitro experimental data. Mathematical Biosciences 1985;77:353-396.
3. Rudy Y, Messinger-Rapport BJ. The inverse problem in electrocardiography: Solutions in terms of epicardial potentials. CRC Critical Review in Biomedical Engineering 1988;16:215-268.
4. Hansen PC. Rank Deficient and Discrete Ill-Posed Problems: Numerical Aspects of Linear Inversion. SIAM, Philadelphia, PA, 1998.
5. Velipasaoglu EO, Sun H, Zhang F, Berrier KL, Khoury DS. Spatial regularization of the electrocardiographic inverse problem and its application to endocardial mapping. IEEE Transactions on Biomedical Engineering 2000;47:327-337.
6. Messinger-Rapport B, Rudy Y. Noninvasive recovery of epicardial potentials in a realistic heart-torso-geometry. Circulation Research 1990;66:1023-1039.