Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Understanding the combined effect of $k$-space undersampling and
  transient states excitation in MR Fingerprinting reconstructions   Magnetic resonance fingerprinting (MRF) is able to estimate multiple
quantitative tissue parameters from a relatively short acquisition. The main
characteristic of an MRF sequence is the simultaneous application of (a)
transient states excitation and (b) highly undersampled $k$-space. Despite the
promising empirical results obtained with MRF, no work has appeared that
formally describes the combined impact of these two aspects on the
reconstruction accuracy. In this paper, a mathematical model is derived that
directly relates the time varying RF excitation and the $k$-space sampling to
the spatially dependent reconstruction errors. A subsequent in-depth analysis
identifies the mechanisms by which MRF sequence properties affect accuracy,
providing a formal explanation of several empirically observed or intuitively
understood facts. New insights are obtained which show how this analytical
framework could be used to improve the MRF protocol.

6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con
1
The categories of this paper are: cs
0
The categories of this paper are: hep-ph
24
The categories of this paper are: dg-ga
25
The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
34
The categories of this paper are: chem-ph
21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an
27
The categories of this paper are: comp-gas
5
The categories of this paper are: gr-qc
16
The categories of this paper are: stat
23
The categories of this paper are: solv-int