International Journal on Magnetic Particle Imaging
Vol 4 No 2 (2018): Int J Mag Part Imag
https://doi.org/10.18416/IJMPI.2018.1811002

Research Articles

Joint Multiresolution Magnetic Particle Imaging and System Matrix Compression

Main Article Content

Marco Maass (Institute for Signal Processing, University of Lübeck), Christian Mink , Alfred Mertins (Institute for Signal Processing, University of Lübeck)

Abstract

It is well known that the discrete cosine transform is a good transform to compress system matrices from magnetic particle imaging scanners that have a field-free point traveling along a Lissajous trajectory. With help of the compressed system matrix, the reconstruction of the particle distribution can be accelerated. However, the discrete cosine transform is a global transform along the spatial dimension of the system matrix. This has the disadvantage that no multiresolution analysis can be performed due to the loss of the spatial resolution. A typical strategy to implement a multiresolution analysis is to perform a discrete wavelet transform. Unfortunately, the discrete wavelet transform is not as sparsifying as the cosine transform for magnetic particle imaging system matrices. By combing the advantages of both transforms, we develop a strategy that gives rise to a multiresolution analysis with a similar performance as the discrete cosine transform at the full-resolution level, but with further resolution levels. We shortly discuss that the developed representation is a good starting point for advanced particle distribution reconstruction techniques that benefit from a multiresolution analysis.Int. J. Mag. Part. Imag. 4(2), 2018, Article ID: 1811002, DOI: 10.18416/IJMPI.2018.1811002

Article Details