MOCCA: A Fast Algorithm for Parallel MRI Reconstruction Using Model Based Coil Calibration
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866916457178202112 |
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| author | Plonka, Gerlind Riebe, Yannick |
| author_facet | Plonka, Gerlind Riebe, Yannick |
| contents | We propose a new fast algorithm for simultaneous recovery of the coil sensitivities and of the magnetization image from incomplete Fourier measurements in parallel MRI. Our approach is based on a parameter model for the coil sensitivities using bivariate trigonometric polynomials of small degree. The derived MOCCA algorithm has low computational complexity of $O(N_c N^2 \log N)$ for $N \times N$ images and $N_c$ coils and achieves very good performance for incomplete MRI data. We present a complete mathematical analysis of the proposed reconstruction method. Further, we show that MOCCA achieves similarly good reconstruction results as ESPIRiT with a considerably smaller numerical effort which is due to the employed parameter model. Our numerical examples show that MOCCA can outperform several other reconstruction methods. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2403_12611 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | MOCCA: A Fast Algorithm for Parallel MRI Reconstruction Using Model Based Coil Calibration Plonka, Gerlind Riebe, Yannick Numerical Analysis 15A18, 15B05, 42A10, 65F10, 65F22, 65T50, 94A08 We propose a new fast algorithm for simultaneous recovery of the coil sensitivities and of the magnetization image from incomplete Fourier measurements in parallel MRI. Our approach is based on a parameter model for the coil sensitivities using bivariate trigonometric polynomials of small degree. The derived MOCCA algorithm has low computational complexity of $O(N_c N^2 \log N)$ for $N \times N$ images and $N_c$ coils and achieves very good performance for incomplete MRI data. We present a complete mathematical analysis of the proposed reconstruction method. Further, we show that MOCCA achieves similarly good reconstruction results as ESPIRiT with a considerably smaller numerical effort which is due to the employed parameter model. Our numerical examples show that MOCCA can outperform several other reconstruction methods. |
| title | MOCCA: A Fast Algorithm for Parallel MRI Reconstruction Using Model Based Coil Calibration |
| topic | Numerical Analysis 15A18, 15B05, 42A10, 65F10, 65F22, 65T50, 94A08 |
| url | https://arxiv.org/abs/2403.12611 |