{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,8]],"date-time":"2026-07-08T17:49:08Z","timestamp":1783532948208,"version":"3.55.0"},"reference-count":43,"publisher":"Springer Science and Business Media LLC","issue":"9","license":[{"start":{"date-parts":[[2011,4,7]],"date-time":"2011-04-07T00:00:00Z","timestamp":1302134400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Med Biol Eng Comput"],"published-print":{"date-parts":[[2011,9]]},"DOI":"10.1007\/s11517-011-0757-8","type":"journal-article","created":{"date-parts":[[2011,4,6]],"date-time":"2011-04-06T17:52:41Z","timestamp":1302112361000},"page":"1003-1013","source":"Crossref","is-referenced-by-count":20,"title":["A Kalman filter-based approach to reduce the effects of geometric errors and the measurement noise in the inverse ECG problem"],"prefix":"10.1007","volume":"49","author":[{"given":"Umit","family":"Aydin","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Yesim Serinagaoglu","family":"Dogrusoz","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2011,4,7]]},"reference":[{"key":"757_CR1","unstructured":"Aydin U, Serinagaoglu Y (2008) Use of activation time based Kalman filtering in inverse problem of ECG. In: Sloten JV, Verdonck P, Nyssen M, Haueisen J (eds) Proceedings of 4th European Conference International Federation for Medical and Biological Engineering, vol 22. Antwerp, IFMBE, pp 1200\u20131203"},{"key":"757_CR2","doi-asserted-by":"crossref","unstructured":"Aydin U, Serinagaoglu Y (2009) Statistical modeling of the geometric error in cardiac electrical imaging. In: Proceedings of The Sixth IEEE International Symposium on Biomedical Imaging (ISBI 2009), Boston, pp 442\u2013445","DOI":"10.1109\/ISBI.2009.5193079"},{"key":"757_CR3","doi-asserted-by":"crossref","first-page":"507","DOI":"10.1109\/TBME.2003.821027","volume":"51","author":"KL Berrier","year":"2004","unstructured":"Berrier KL, Sorensen DC, Khoury DS (2004) Solving the inverse problem of electrocardiography using a Duncan and Horn formulation of the Kalman filter. IEEE Trans Biomed Eng 51:507\u2013515","journal-title":"IEEE Trans Biomed Eng"},{"issue":"1","key":"757_CR4","doi-asserted-by":"crossref","first-page":"3","DOI":"10.1109\/10.736746","volume":"46","author":"DH Brooks","year":"1999","unstructured":"Brooks DH, Ahmad GF, Macleod RS, Maratos GM (1999) Inverse electrocardiography by simultaneous imposition of multiple constraints. IEEE Trans Biomed Eng 46(1):3\u201318","journal-title":"IEEE Trans Biomed Eng"},{"key":"757_CR5","doi-asserted-by":"crossref","first-page":"23","DOI":"10.1109\/TBME.2002.807325","volume":"50","author":"LK Cheng","year":"2003","unstructured":"Cheng LK, Bradley CP, Pullan AJ (2003) Effects of experimental and modeling errors on electrocardiographic inverse formulations. IEEE Trans Biomed Eng 50:23\u201332","journal-title":"IEEE Trans Biomed Eng"},{"key":"757_CR6","doi-asserted-by":"crossref","unstructured":"El-Jakl J, Champagnat F, Goussard Y (1995) Time-space regularization of the inverse problem of electrocardiography. In: Proceedings of 17th Annual International Conference IEEE EMBS, Montreal, pp 213\u2013214","DOI":"10.1109\/IEMBS.1995.575076"},{"issue":"10","key":"757_CR7","doi-asserted-by":"crossref","first-page":"1307","DOI":"10.1109\/TMI.2003.818263","volume":"22","author":"RN Ghanem","year":"2003","unstructured":"Ghanem RN, Ramanathan C, Jia P, Rudy Y (2003) Heart-surface reconstruction and ecg electrodes localization using fluoroscopy, epipolar geometry and stereovision: application to noninvasive imaging of cardiac electrical activity. IEEE Trans Med Imaging 22(10):1307\u20131318","journal-title":"IEEE Trans Med Imaging"},{"issue":"9","key":"757_CR8","doi-asserted-by":"crossref","first-page":"1821","DOI":"10.1109\/TBME.2006.878117","volume":"53","author":"A Ghodrati","year":"2006","unstructured":"Ghodrati A, Brooks DH, Tadmor G, MacLeod RS (2006) Wavefront-based models for inverse electrocardiography. IEEE Trans Biomed Eng 53(9):1821\u20131831","journal-title":"IEEE Trans Biomed Eng"},{"issue":"10","key":"757_CR9","doi-asserted-by":"crossref","first-page":"1152","DOI":"10.1109\/TBME.2003.817632","volume":"50","author":"F Greensite","year":"2003","unstructured":"Greensite F (2003) The temporal prior in bioelectromagnetic source imaging problems. IEEE Trans Biomed Eng 50(10):1152\u20131159","journal-title":"IEEE Trans Biomed Eng"},{"key":"757_CR10","doi-asserted-by":"crossref","first-page":"84","DOI":"10.1109\/51.715491","volume":"17","author":"RM Gulrajani","year":"1998","unstructured":"Gulrajani RM (1998) The forward and inverse problems of electrocardiography. IEEE Eng Med Bio 17:84\u2013101","journal-title":"IEEE Eng Med Bio"},{"key":"757_CR11","doi-asserted-by":"crossref","first-page":"1487","DOI":"10.1137\/0914086","volume":"14","author":"PC Hansen","year":"1993","unstructured":"Hansen PC, OLeary DP (1993) The use of the L-curve in the regularization of discrete ill-posed problems. SIAM J Sci Comput 14:1487\u20131503","journal-title":"SIAM J Sci Comput"},{"issue":"3","key":"757_CR12","doi-asserted-by":"crossref","first-page":"181","DOI":"10.1109\/4233.945288","volume":"5","author":"B He","year":"2001","unstructured":"He B, Wu D (2001) Imaging and visualization of 3-D cardiac electrical activity. IEEE Trans Inf Technol Biomed 5(3):181\u2013186","journal-title":"IEEE Trans Inf Technol Biomed"},{"key":"757_CR13","doi-asserted-by":"crossref","first-page":"4063","DOI":"10.1088\/0031-9155\/47\/22\/310","volume":"47","author":"B He","year":"2002","unstructured":"He B, Li G, Zhang X (2002) Noninvasive imaging of cardiac transmembrane potentials within three-dimensional myocardium by means of a realistic geometry anisotropic heart model. Phys Med Biol 47:4063\u20134078","journal-title":"Phys Med Biol"},{"issue":"1","key":"757_CR14","doi-asserted-by":"crossref","first-page":"296","DOI":"10.1364\/OPEX.13.000296","volume":"13","author":"J Heino","year":"2005","unstructured":"Heino J, Somersalo E, Kaipio JP (2005) Compensation for geometric mismodelling by anisotropies in optical tomography. Opt Express 13(1):296\u2013308","journal-title":"Opt Express"},{"issue":"2","key":"757_CR15","doi-asserted-by":"crossref","first-page":"137","DOI":"10.1016\/S0022-0736(99)90092-4","volume":"32","author":"R Hoekema","year":"1999","unstructured":"Hoekema R, Uijen GJH, van Erning L, van Oosterom A (1999) Interindividual variability of multilead electrocardiographic recordings: influence of heart position. J Electrocardiol 32(2):137\u2013148","journal-title":"J Electrocardiol"},{"issue":"8","key":"757_CR16","doi-asserted-by":"crossref","first-page":"827","DOI":"10.1109\/10.30808","volume":"36","author":"G Huiskamp","year":"1989","unstructured":"Huiskamp G, van Oosterom A (1989) Tailored versus realistic geometry in the inverse problem of electrocardiography. IEEE Trans Biomed Eng 36(8):827\u2013835","journal-title":"IEEE Trans Biomed Eng"},{"key":"757_CR17","unstructured":"Jazwinski AH, Bailie AE (1967) Adaptive filtering interim report, Report no. 67-6 Contract NAS 5-9085"},{"key":"757_CR18","unstructured":"Jazwinski AH (2007) Stochastic processes and filtering theory, 2nd edn. Dover Publications, Mineola"},{"key":"757_CR19","doi-asserted-by":"crossref","first-page":"1277","DOI":"10.1088\/0031-9155\/52\/5\/005","volume":"52","author":"M Jiang","year":"2007","unstructured":"Jiang M, Xia L, Shou G, Tang M (2007) Combination of the LSQR method and a genetic algorithm for solving the electrocardiography inverse problem. Phys Med Biol 52:1277\u20131294","journal-title":"Phys Med Biol"},{"key":"757_CR20","doi-asserted-by":"crossref","unstructured":"Jiang Y, Farina D, Doessel O (2008) Effect of heart motion on the solutions of forward and inverse electrocardiographic problem - a simulation study. In: Murray A (ed) Proceedings of 35th Annual International Conference on Computers in Cardiology, vol 35. Bologna, pp 365\u2013368","DOI":"10.1109\/CIC.2008.4749054"},{"issue":"4","key":"757_CR21","doi-asserted-by":"crossref","first-page":"923","DOI":"10.1109\/TBME.2008.2005967","volume":"56","author":"M Jiang","year":"2009","unstructured":"Jiang M, Xia L, Shou G, Wei Q, Liu F, Crozier S (2009) Effect of cardiac motion on solution of the electrocardiography inverse problem. IEEE Trans Biomed Eng 56(4):923\u2013931","journal-title":"IEEE Trans Biomed Eng"},{"key":"757_CR22","doi-asserted-by":"crossref","first-page":"311","DOI":"10.1016\/0168-9274(94)90031-0","volume":"14","author":"CR Johnson","year":"1994","unstructured":"Johnson CR, MacLeod RS (1994) Nonuniform spatial mesh adaptation using a posteriori error estimates: applications to forward and inverse problems. Appl Numer Math 14:311\u2013326","journal-title":"Appl Numer Math"},{"issue":"1","key":"757_CR23","doi-asserted-by":"crossref","first-page":"19","DOI":"10.1109\/10.553710","volume":"44","author":"PR Johnston","year":"1997","unstructured":"Johnston PR, Gulrajani RM (1997) A new method for regularization parameter determination in the inverse problem of electrocardiography. IEEE Trans Biomed Eng 44(1):19\u201339","journal-title":"IEEE Trans Biomed Eng"},{"key":"757_CR24","doi-asserted-by":"crossref","unstructured":"Joly D, Goussard Y, Savard P (1993) Time-recursive solution to the inverse problem of electrocardiography a model-based approach. In: Proceedings of the 15th Annual International Conference on IEEE EMBC and CMBEC, vol 15. New Jersey, pp 767\u2013768","DOI":"10.1109\/IEMBS.1993.978823"},{"issue":"3","key":"757_CR25","doi-asserted-by":"crossref","first-page":"325","DOI":"10.1007\/BF02345808","volume":"46","author":"LK Cheng","year":"2005","unstructured":"Cheng LK, Sands GB, French RL, Withy SJ, Wong SP, Legget ME, Smith WM, Pullan AJ (2005) Rapid construction of a patient-specific torso model from 3D ultrasound for non-invasive imaging of cardiac electrophysiology. Med Biol Eng Comput 46(3):325\u2013330","journal-title":"Med Biol Eng Comput"},{"key":"757_CR26","volume-title":"Computational and statistical methods for inverse problems applied mathematical sciences","author":"JP Kaipio","year":"2004","unstructured":"Kaipio JP, Somersalo E (2004) Computational and statistical methods for inverse problems applied mathematical sciences. Springer-Verlag, New York"},{"key":"757_CR27","doi-asserted-by":"crossref","first-page":"114","DOI":"10.1016\/S0022-0736(98)80053-8","volume":"30","author":"RS Macleod","year":"1997","unstructured":"Macleod RS, Lux RL, Tacardi B (1997) A possible mechanism for electrocardiographically silent changes in cardiac repolarization. J Electrocardiol 30:114\u2013121","journal-title":"J Electrocardiol"},{"key":"757_CR28","doi-asserted-by":"crossref","first-page":"229","DOI":"10.1054\/jelc.2000.20357","volume":"33","author":"RS Macleod","year":"2000","unstructured":"Macleod RS, Ni O, Punske B, Ershler PR, Yilmaz B, Tacardi B (2000) Effects of heart position on the body-surface electrocardiogram. J Electrocardiol 33:229\u2013237","journal-title":"J Electrocardiol"},{"key":"757_CR29","unstructured":"Macleod RS, Johnson CR (1997) Map3d: interactive scientific visualization for bioengineering data. In: Proceedings of EMBS 15th Annual International Conference, vol 44, pp 196\u2013208"},{"issue":"7","key":"757_CR30","doi-asserted-by":"crossref","first-page":"667","DOI":"10.1109\/TBME.1986.325756","volume":"33","author":"BJ Messinger-Rapport","year":"1986","unstructured":"Messinger-Rapport BJ, Rudy Y (1986) The inverse problem in electrocardiography: a model study of the effects of geometry and conductivity parameters on the reconstruction of epicardial potentials. IEEE Trans Biomed Eng 33(7):667\u2013676","journal-title":"IEEE Trans Biomed Eng"},{"key":"757_CR31","doi-asserted-by":"crossref","first-page":"630","DOI":"10.1007\/BF02351037","volume":"43","author":"S Okawa","year":"2005","unstructured":"Okawa S, Honda S (2005) Reduction of noise from magnetoencephalography. Med Biol Eng Comput 43:630\u2013637","journal-title":"Med Biol Eng Comput"},{"issue":"5","key":"757_CR32","doi-asserted-by":"crossref","first-page":"356","DOI":"10.1007\/BF00376131","volume":"18","author":"AJ Pullan","year":"1996","unstructured":"Pullan AJ, Bradley CP (1996) A coupled cubic hermite finite element\/boundary element procedure for electrocardiographic problems. Comput Mech 18(5):356\u2013368","journal-title":"Comput Mech"},{"key":"757_CR33","doi-asserted-by":"crossref","first-page":"1277","DOI":"10.1098\/rsta.2001.0835","volume":"359","author":"AJ Pullan","year":"2001","unstructured":"Pullan AJ, Paterson D, Greensite F (2001) Noninvasive imaging of cardiac electrophysiology. Phil Trans R Soc Lond A 359:1277\u20131286","journal-title":"Phil Trans R Soc Lond A"},{"key":"757_CR34","doi-asserted-by":"crossref","first-page":"229","DOI":"10.1046\/j.1540-8167.2001.00229.x","volume":"12","author":"C Ramanathan","year":"2001","unstructured":"Ramanathan C, Rudy Y (2001) Electrocardiographic imaging: I. effect of torso inhomogeneities on body surface electrocardiographic potentials. J Cardiovasc Electrophysiol 12:229\u2013240","journal-title":"J Cardiovasc Electrophysiol"},{"key":"757_CR35","doi-asserted-by":"crossref","first-page":"241","DOI":"10.1046\/j.1540-8167.2001.00241.x","volume":"12","author":"C Ramanathan","year":"2001","unstructured":"Ramanathan C, Rudy Y (2001) Electrocardiographic imaging: II. effect of torso inhomogeneities on noninvasive reconstruction of epicardial potentials, electrograms, and isochrones. J Cardiovasc Electrophysiol 12:241\u2013252","journal-title":"J Cardiovasc Electrophysiol"},{"issue":"10","key":"757_CR36","doi-asserted-by":"crossref","first-page":"2024","DOI":"10.1109\/TBME.2006.881776","volume":"53","author":"Y Serinagaoglu","year":"2006","unstructured":"Serinagaoglu Y, Brooks DH, MacLeod RS (2006) Improved performance of Bayesian solutions for inverse electrocardiography using multiple information sources. IEEE Trans Biomed Eng 53(10):2024\u20132034","journal-title":"IEEE Trans Biomed Eng"},{"issue":"4","key":"757_CR37","doi-asserted-by":"crossref","first-page":"1327","DOI":"10.1109\/TBME.2007.912404","volume":"55","author":"G Shou","year":"2008","unstructured":"Shou G, Xia L, Jiang M, Wei Q, Liu F, Crozier S (2008) Truncated total least squares: a new regularization method for the solution of ECG inverse problems. IEEE Trans Biomed Eng 55(4):1327\u20131335","journal-title":"IEEE Trans Biomed Eng"},{"key":"757_CR38","unstructured":"Shumway RH, Stoffer DS (2006) Time series analysis and its applications: with R examples, 2nd edn. Springer, New York, pp 330\u2013345"},{"issue":"3","key":"757_CR39","doi-asserted-by":"crossref","first-page":"273","DOI":"10.1109\/TBME.1986.325711","volume":"33","author":"PC Stanley","year":"1986","unstructured":"Stanley PC, Pilkington TC, Morrow MN (1986) The effects of thoracic inhomogeneities on the relationship between epicardial and torso potentials. IEEE Trans Biomed Eng 33(3):273\u2013284","journal-title":"IEEE Trans Biomed Eng"},{"issue":"12","key":"757_CR40","doi-asserted-by":"crossref","first-page":"1192","DOI":"10.1109\/10.476126","volume":"42","author":"RD Throne","year":"1995","unstructured":"Throne RD, Olson LG (1995) The effects of errors in assumed conductivities and geometry on numerical solutions to the inverse problem of electrocardiology. IEEE Trans Biomed Eng 42(12):1192\u20131200","journal-title":"IEEE Trans Biomed Eng"},{"key":"757_CR41","volume-title":"Solution of ill-posed problems","author":"AN Tikhonov","year":"1977","unstructured":"Tikhonov AN, Arsenin VY (1977) Solution of ill-posed problems. Winston and Sons, Washington"},{"key":"757_CR42","doi-asserted-by":"crossref","first-page":"257","DOI":"10.1007\/s11517-009-0459-7","volume":"47","author":"CSL Tsui","year":"2009","unstructured":"Tsui CSL, Gan JQ, Roberts SJ (2009) A self-paced brain-computer interface for controlling a robot simulator: an online event labeling paradigm and an extended Kalman filter based algorithm for online training. Med Biol Eng Comput 47:257\u2013265","journal-title":"Med Biol Eng Comput"},{"issue":"7","key":"757_CR43","doi-asserted-by":"crossref","first-page":"778","DOI":"10.1109\/10.771187","volume":"46","author":"A van Oosterom","year":"1999","unstructured":"van Oosterom A (1999) The use of spatial covariance in computing pericardial potentials. IEEE Trans Biomed Eng 46(7):778\u2013787","journal-title":"IEEE Trans Biomed Eng"}],"container-title":["Medical & Biological Engineering & Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11517-011-0757-8.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11517-011-0757-8\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11517-011-0757-8","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,6,9]],"date-time":"2019-06-09T19:45:16Z","timestamp":1560109516000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11517-011-0757-8"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011,4,7]]},"references-count":43,"journal-issue":{"issue":"9","published-print":{"date-parts":[[2011,9]]}},"alternative-id":["757"],"URL":"https:\/\/doi.org\/10.1007\/s11517-011-0757-8","relation":{},"ISSN":["0140-0118","1741-0444"],"issn-type":[{"value":"0140-0118","type":"print"},{"value":"1741-0444","type":"electronic"}],"subject":[],"published":{"date-parts":[[2011,4,7]]}}}