@inproceedings{15318355a9e642c2929d515dea05598a,
title = "Vector field tomography: Reconstruction of an irrotational field in the discrete domain",
abstract = "We revisit the problem of the reconstruction of an irrotational vector field by solving a set of line integral equations in the discrete domain. We show that the continuous inverse Radon formulation fails to reconstruct an irrotational vector field while the approximate solution of the problem in the digital domain is feasible, overcoming the intrinsic ill-posedness of the problem. In particular, we prove that the discretization of the problem is an efficient way of regularising the continuous ill posedness since it ensures an upper bound to the solution error. We demonstrate the effectiveness of the method with simulations.",
keywords = "Ill posedness, Inverse problem, Regularisation, Vector tomography",
author = "Alexandra Koulouri",
year = "2012",
doi = "10.2316/P.2012.778-021",
language = "English",
isbn = "9780889869219",
series = "Proceedings of the IASTED International Conference on Signal Processing, Pattern Recognition and Applications, SPPRA 2012",
pages = "182--188",
booktitle = "Proceedings of the IASTED International Conference on Signal Processing, Pattern Recognition and Applications, SPPRA 2012",
note = "IASTED International Conference on Signal Processing, Pattern Recognition and Applications, SPPRA 2012 ; Conference date: 18-06-2012 Through 20-06-2012",
}