Systems and methods for reconstructing information using a...

Surgery – Diagnostic testing – Cardiovascular

Reexamination Certificate

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Reexamination Certificate

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07433730

ABSTRACT:
Systems and methods for generating regularized solutions for inverse problems, where the regularization is performed using the Duncan-Horn formulation of a Kalman filter. The various alternative embodiments of the invention are applicable to many different types of inverse problems. In one electrocardiography implementation, electrical potentials are measured within a chamber of the heart and these measurements are processed to generate a mapping of the electrical activity at the interior surface of the heart chamber (these potentials at the heart s surface resulted in the potentials that were measured in the heart chamber). The generation of the mapping of the potentials at the heart s surface is regularized by using a Duncan-Horn formulation of a Kalman filter. The regularization may be based upon multiple steps in time, and the number of time steps may be selectable.

REFERENCES:
patent: 6214019 (2001-04-01), Manwaring et al.
patent: 6939309 (2005-09-01), Beatty et al.
D. Joly, Y. Goussard, and P. Savard, “Time-recursive solution to the inverse problem of electrocardiology: A Model-based approach,” in Proc. 15th Ann. Int. Conf. IEEE EMBS, San Diego, CA, 1993, pp. 767-768.
D. B. Duncan and S. D. Horn, “Linear dynamic recursive estimation from the viewpoint of regression analysis,” J. Amer. Statist. Assoc., vol. 67, pp. 815-821, 1972.
J. El-Jakl, F. Champagnat, and Y. Goussard, “Time-space regularization of the inverse problem of electrocardiography,” in Proc. 17th Ann. Int. Conf. IEEE EMBS, Montréal, QC, Canada, 1995, pp. 213-214.
H. S. Oster and Y. Rudy, “The use of temporal information in the regularization of the inverse problem of electrocardiography,” IEEE Trans. Biomed. Eng., vol. 39, pp. 65-75, Jan. 1992.
Berrier, Keith L., Sorensen, Danny C., Khoury, Dirar S. Solving the Inverse Problem of Electrocardiocardiography Using a Duncan and Horn Formulation of the Kalman Filter. Submitted IEEE Transactions on Biomedical Engineering. Feb. 21, 2003.
Berrier, Keith L., Soresen, Danny C., Khoury, Dirar S. TR02-17: Solving the Inverse Problem of Electrocardiography Using a Duncan and Horn Formulation of the Kalman Filter. CAAM Technical Reports 2002, Dec. 2002. Found online at www.caam.rice.edu/caam/trs/tr02.html.

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