Wolfgang Bangerth, Amit Joshi, and Eva
Many important existing and upcoming biomedical imaging modalities lead to
nonlinear relationships between state variables from which measurements
result and the tissue properties
one would like to reconstruct, and typically involve partial differential
equations. For such cases, exact reconstruction formulas are rarely known
and their solution requires numerical techniques such as the finite element
method that approximates all involved variables on a mesh.
Traditionally, the same mesh is used for all involved variables. In this
contribution, we argue that this is inappropriate and meshes should be
chosen independently of each other for the various variables involved. We
support this claim through a numerical experiment.
Inverse biomedical imaging using separately adapted meshes for
parameters and forward model variables
Proceedings of the IEEE International
Symposium on Biomedical Imaging, Arlington, VA, 2007, pp. 1368-1371.
Mon Nov 13 13:08:20 MST 2017