title: New Additions to the Toolkit for Forward/Inverse Problems in Electrocardiography within the SCIRun Problem Solving Environment.
abstract: Cardiac electrical imaging often requires the examination of different forward and inverse problem formulations based on mathematical and numerical approximations of the underlying source and the intervening volume conductor that can generate the associated voltages on the surface of the body. If the goal is to recover the source on the heart from body surface potentials, the solution strategy must include numerical techniques that can incorporate appropriate constraints and recover useful solutions, even though the problem is badly posed. Creating complete software solutions to such problems is a daunting undertaking. In order to make such tools more accessible to a broad array of researchers, the Center for Integrative Biomedical Computing (CIBC) has made an ECG forward/inverse toolkit available within the open source SCIRun system. Here we report on three new methods added to the inverse suite of the toolkit. These new algorithms, namely a Total Variation method, a non-decreasing TMP inverse and a spline-based inverse, consist of two inverse methods that take advantage of the temporal structure of the heart potentials and one that leverages the spatial characteristics of the transmembrane potentials. These three methods further expand the possibilities of researchers in cardiology to explore and compare solutions to their particular imaging problem.
authors.affiliation: B-spiral group, Northeastern University, Boston (MA), USA.
authors.forename: Jaume
authors.initials: J
authors.lastname: Coll-Font
authors.affiliation: Scientific Computing and Imaging Institute (SCI), University of Utah, Salt Lake City (UT), USA.
authors.forename: Brett M
authors.initials: BM
authors.lastname: Burton
authors.affiliation: Scientific Computing and Imaging Institute (SCI), University of Utah, Salt Lake City (UT), USA.
authors.forename: Jess D
authors.initials: JD
authors.lastname: Tate
authors.affiliation: Computational Radiology Lab, Boston Children's Hospital, Boston (MA), USA.
authors.forename: Burak
authors.initials: B
authors.lastname: Erem
authors.affiliation: Scientific Computing and Imaging Institute (SCI), University of Utah, Salt Lake City (UT), USA.
authors.forename: Darrel J
authors.initials: DJ
authors.lastname: Swenson
authors.affiliation: Department of Biomedical Engineering, Johns Hopkins University, Baltimore (MD), USA.
authors.forename: Dafang
authors.initials: D
authors.lastname: Wang
authors.affiliation: B-spiral group, Northeastern University, Boston (MA), USA.
authors.forename: Dana H
authors.initials: DH
authors.lastname: Brooks
authors.affiliation: Radboud University Medical Center, Nijmegen, The Netherlands.
authors.forename: Peter
authors.initials: P
authors.lastname: van Dam
authors.affiliation: Scientific Computing and Imaging Institute (SCI), University of Utah, Salt Lake City (UT), USA.
authors.forename: Rob S
authors.initials: RS
authors.lastname: Macleod