MRI image reconstruction under linear and hyperbolic gradients

Nonlinear gradient imaging has advantages of lower peripheral nerve stimulation (PNS), fast imaging rate, and high edge resolution, but the blurring exists in the center part. To resolve this problem, linear gradient x, y is employed together with nonlinear gradient, such as 4-Dimensional Radial In/Out (4DRIO), O-Space, etc. In this paper, we propose a hyperbola method, using x, y gradient and hyperbolic nonlinear gradient x² - y². Numerical simulation reveals that hyperbola sampling scheme and iterative algorithm leads to high efficiency in image reconstruction, and hyperbola method shows better reconstruction compare with O-Space technology.