## LANTERN: learn analysis transform network for dynamic magnetic resonance imaging.(English)Zbl 1480.78013

Summary: This paper proposes to learn analysis transform network for dynamic magnetic resonance imaging (LANTERN). Integrating the strength of CS-MRI and deep learning, the proposed framework is highlighted in three components: (i) The spatial and temporal domains are sparsely constrained by adaptively trained convolutional filters; (ii) We introduce an end-to-end framework to learn the parameters in LANTERN to solve the difficulty of parameter selection in traditional methods; (iii) Compared to existing deep learning reconstruction methods, our experimental results show that our paper has encouraging capability in exploiting the spatial and temporal redundancy of dynamic MR images. We performed quantitative and qualitative analysis of cardiac reconstructions at different acceleration factors $$(2\times$$-$$11\times)$$ with different undersampling patterns. In comparison with two state-of-the-art methods, experimental results show that our method achieved encouraging performances.

### MSC:

 78A46 Inverse problems (including inverse scattering) in optics and electromagnetic theory 78A70 Biological applications of optics and electromagnetic theory 78-05 Experimental work for problems pertaining to optics and electromagnetic theory 78M50 Optimization problems in optics and electromagnetic theory 65K10 Numerical optimization and variational techniques 65T50 Numerical methods for discrete and fast Fourier transforms 68T07 Artificial neural networks and deep learning 92C55 Biomedical imaging and signal processing 68U10 Computing methodologies for image processing

### Keywords:

dynamic MR imaging; deep learning; CS-MRI
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