| Presentation | 2016-05-19 High accuracy reconstruction algorithm for CS-MRI using SDMM Motoi Shibata, Norihito Inamuro, Takashi Ijiri, Akira Hirabayashi, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | We propose a high accuracy magnetic resonance imaging (MRI) reconstruction algorithm from compressively sampled measurements using a convex optimization technique. Lustig et al. proposed the compressed sensing MRI (CS-MRI) technique, in which MR images are reconstructed by minimizing a cost function defined by the sum of the data fidelity term, the l1-norm of sparsifying transform coefficients, and a total-variation (TV). Since the absolute values in both l1-norm and TV are not differentiable at the origin, they approximated it by adding a small positive constant in the square root. Then, a nonlinear conjugate gradient descent algorithm was exploited to minimize the approximated cost function. The obtained solution is also an approximated one, thus of low-quality. Hence, in this paper, we propose an algorithm that obtains a rigorous solution to the minimization problem without any approximation based on the simultaneous direction method of multipliers (SDMM), one of the convex optimization techniques. A simple application of SDMM to CS-MRI can not be implemented on computers because of the matrix size that is proportional to the square of the image size. We solve this problem using eigen value decompositions. Simulations using real MR images show that the proposed algorithm outperforms the conventional one irrespective of compression ratio and random sensing scenarios. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | MRI / compressed sensing / total-variation / convex optimization / ADMM / SDMM |
| Paper # | SIP2016-12,IE2016-12,PRMU2016-12,MI2016-12 |
| Date of Issue | 2016-05-12 (SIP, IE, PRMU, MI) |
| Conference Information | |
| Committee | PRMU / IE / MI / SIP |
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| Conference Date | 2016/5/19(2days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Chair | Eisaku Maeda(NTT) / Seishi Takamura(NTT) / Yoshitaka Masutani(Hiroshima City Univ.) / Osamu Houshuyama(NEC) |
| Vice Chair | Shuji Senda(NEC) / Seiichi Uchida(Kyushu Univ.) / Takayuki Hamamoto(Tokyo Univ. of Science) / Atsuro Ichigaya(NHK) / Yoshiki Kawata(Tokushima Univ.) / Yuichi Kimura(Kinki Univ.) / Makoto Nakashizuka(Chiba Inst. of Tech.) / Masahiro Okuda(Univ. of Kitakyushu) |
| Secretary | Shuji Senda(Mie Univ.) / Seiichi Uchida(DENSO IT Lab.) / Takayuki Hamamoto(NTT) / Atsuro Ichigaya(Chiba Inst. of Tech.) / Yoshiki Kawata(Aichi Inst. of Tech.) / Yuichi Kimura(Nagoya Inst. of Tech.) / Makoto Nakashizuka(NEC) / Masahiro Okuda(Ritsumeikan Univ.) |
| Assistant | Kazuaki Kondo(Kyoto Univ.) / Akisato Kimura(NTT) / Keita Takahashi(Nagoya Univ.) / Kei Kawamura(KDDI R&D Labs.) / Ryo Haraguchi(NCVC) / Yasushi Hirano(Yamaguchi Univ.) / Takamichi Miyata(Chiba Inst. of Tech.) |
| Paper Information | |
| Registration To | Technical Committee on Pattern Recognition and Media Understanding / Technical Committee on Image Engineering / Technical Committee on Medical Imaging / Technical Committee on Signal Processing |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | High accuracy reconstruction algorithm for CS-MRI using SDMM |
| Sub Title (in English) | |
| Keyword(1) | MRI |
| Keyword(2) | compressed sensing |
| Keyword(3) | total-variation |
| Keyword(4) | convex optimization |
| Keyword(5) | ADMM |
| Keyword(6) | SDMM |
| 1st Author's Name | Motoi Shibata |
| 1st Author's Affiliation | Ritsumeikan University(Ritsumeikan Univ.) |
| 2nd Author's Name | Norihito Inamuro |
| 2nd Author's Affiliation | Ritsumeikan University(Ritsumeikan Univ.) |
| 3rd Author's Name | Takashi Ijiri |
| 3rd Author's Affiliation | Ritsumeikan University(Ritsumeikan Univ.) |
| 4th Author's Name | Akira Hirabayashi |
| 4th Author's Affiliation | Ritsumeikan University(Ritsumeikan Univ.) |
| Date | 2016-05-19 |
| Paper # | SIP2016-12,IE2016-12,PRMU2016-12,MI2016-12 |
| Volume (vol) | vol.116 |
| Number (no) | SIP-36,IE-37,PRMU-38,MI-39 |
| Page | pp.pp.59-64(SIP), pp.59-64(IE), pp.59-64(PRMU), pp.59-64(MI), |
| #Pages | 6 |
| Date of Issue | 2016-05-12 (SIP, IE, PRMU, MI) |