2012
DOI: 10.1088/0031-9155/57/4/1113
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Fast reconstruction in magnetic particle imaging

Abstract: Magnetic particle imaging (MPI) is a new tomographic imaging method which is able to capture the fast dynamic behavior of magnetic tracer material. From measured induced signals, the unknown magnetic particle concentration is reconstructed using a previously determined system function, which describes the relation between particle position and signal response. After discretization, the system function is represented by a matrix, whose size can prohibit the use of direct solvers for matrix inversion to reconstr… Show more

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Cited by 71 publications
(54 citation statements)
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“…Tools for an objective evaluation do not exist yet and have to be developed. The reconstruction process itself can be accelerated by applying compression techniques [16]. We conclude that with this first experiment a combined workflow process between a preclinical MRI system and the first commercially available preclinical MPI scanner has been demonstrated to be feasible.…”
mentioning
confidence: 82%
“…Tools for an objective evaluation do not exist yet and have to be developed. The reconstruction process itself can be accelerated by applying compression techniques [16]. We conclude that with this first experiment a combined workflow process between a preclinical MRI system and the first commercially available preclinical MPI scanner has been demonstrated to be feasible.…”
mentioning
confidence: 82%
“…Therefore, the first condition is obtained with the sparsification of the MPI system matrix using a basis transformation, as the discrete Fourier transform (DFT) or the discrete cosine transform (DCT), while the second one is assured by an appropriate distribution of the sampling positions (Lampe et al 2012). Practically, there exist different types of random sensing matrices such as Bernoulli, Gaussian or Subgaussian: they all guarantee the low coherence of the system function matrix.…”
Section: Measurement-based Methodsmentioning
confidence: 99%
“…Due to the reasons that white noise can be assumed [2] and system function components are well-compressible with the DFT and DCT [5], frequency domain filters are chosen. Such filters exploit the fact that white noise, in contrast to the true signal, is not compressible by these basis transformations.…”
Section: Denoisingmentioning
confidence: 99%
“…In this paper, a method to denoise the system matrix is proposed in order to improve the image reconstruction. As the system function components are wellcompressible with certain basis transformations, such as the discrete Fourier transformation (DFT) or discrete Cosine transformation (DCT) [5], frequency domain filters are used for denoising the system function components. Hereby, the system function components are transformed in another basis representation in order to locate the signal information and separate it from noise.…”
Section: Introductionmentioning
confidence: 99%