Haifeng Wang1, Dong Liang2, King F. Kevin3, Gajanan Nagarsekar1, Leslie Ying1
1Department of Electrical Engineering and Computer Science, University of Wisconsin-Milwaukee, Milwaukee, WI, United States; 2Shenzhen Institutes of Advanced Technology, Chinese Academy of Sciences, Shenzhen, Guangdong, China; 3Global Applied Science Laboratory, GE Healthcare, Waukesha, WI, United States
In compressed sensing with Fourier encoding, the low spatial frequency always has to be fully sampled such that the high frequency is insufficiently sampled at high accelerations, leading to serious loss of resolution. In this paper, we propose a novel 3-D acquisition method using hybrid encoding. The method exploits random encoding with a circulant structure along one direction, while keeping conventional Fourier encoding along the other two directions. Both simulation and experimental results demonstrate that the proposed method preserves better resolution than the conventional 3-D Fourier encoding when the same acceleration factor is used.In compressed sensing with Fourier encoding, the low spatial frequency always has to be fully sampled such that the high frequency is insufficiently sampled at high accelerations, leading to serious loss of resolution. In this paper, we propose a novel 3-D acquisition method using hybrid encoding. The method exploits random encoding with a circulant structure along one direction, while keeping conventional Fourier encoding along the other two directions. Both simulation and experimental results demonstrate that the proposed method preserves better resolution than the conventional 3-D Fourier encoding when the same acceleration factor is used.In compressed sensing with Fourier encoding, the low spatial frequency always has to be fully sampled such that the high frequency is insufficiently sampled at high accelerations, leading to serious loss of resolution. In this paper, we propose a novel 3-D acquisition method using hybrid encoding. The method exploits random encoding with a circulant structure along one direction, while keeping conventional Fourier encoding along the other two directions. Both simulation and experimental results demonstrate that the proposed method preserves better resolution than the conventional 3-D Fourier encoding when the same acceleration factor is used.