Determination of 3D system matrices using a mirroring approach based on mixing theory
2, Suppl 1
International Journal on Magnetic Particle Imaging 6 (2, Suppl 1): 2009051, 1-3 (2020)
Infinite Science Publishing
One approach of image reconstruction in MPI is the system matrix based reconstruction. With this approach, in addition to the particle behavior, the sequence and the scanner properties are also calibrated and stored in a system matrix, so that a linear system of equations for the image reconstruction must be solved. However, the measurement of the system matrix is very time-consuming, depending on the desired spatial resolution. Independently of this, there are some remarkable symmetries within the system matrix that could be exploited to significantly reduce the calibration time. In the context of this work the theoretical description of a system matrix about Chebyshev polynomials is used to completely build a 3D system matrix by mirroring an octant and to successfully reconstruct an image.
More Funding Information
Research funding: We acknowledge the financial support by the German research foundation (grand number KN 1108/7-1 and GR 5287/2-1).