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Abstract #1367

Image space formalism of k-space interpolation networks for analytical expression of noise characteristics

Peter Dawood1, Felix Breuer2, István Homolya3, Peter Michael Jakob1, and Martin Blaimer2
1Experimental Physics 5, University of Würzburg, Würzburg, Germany, 2Magnetic Resonance and X-ray Imaging Department, Fraunhofer Institute for Integrated Circuits IIS, Division Development Center X-Ray Technology, Würzburg, Germany, 3Molecular and Cellular Imaging, Comprehensive Heart Failure Center, University Hospital Würzburg, Würzburg, Germany

Synopsis

Keywords: Machine Learning/Artificial Intelligence, Parallel Imaging, complex-valued convolutional neural networks, RAKI, GRAPPA, ReLU

Motivation: Robust Artificial Neural Networks for k-space Interpolation (RAKI) exhibit superior image reconstructions compared to traditional Parallel Imaging. It is crucial to thoroughly characterize RAKI to gain insights into its functionality and stimulate further enhancements.

Goal(s): Exploring how k-space interpolation with convolutional neural networks can be transformed into image domain to obtain an analytical description of noise characteristics.

Approach: The nonlinear activation in k-space is expressed as elementwise multiplication. This can be transformed into convolution in image space.

Results: The proposed image space formalism yields image reconstructions quasi-equivalent to k-space interpolation. The analytical expression of noise characteristics is in correspondence with Monte Carlo simulations.

Impact: We propose an image space formalism for k-space interpolation with convolutional neural networks. This enables an analytical expression of the noise characteristics, analogous to g-factor maps in traditional parallel imaging methods.

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Keywords