Towards Real-Time 4D Field Shift Predictions: Optimizing Fourier-Based Calculations of the Susceptibility Induced Perturbation of the Magnetic Field

Keywords

accuracy accurate additional advantages afterwards alias aliasing allows although analytical applicability applicator artifacts calculation calculations capacity certain circular cleared complementary concepts convolution convolutions copies coronal correct correction cropped decomposition decouple decoupling depending determined diameters distinguished distributions domain downscaled drawback dynamical echoes efficiently eight eightfold either embedded enables error experimental fast feasibility field filtering finished formulation forward frequency full generating gradient halved halving handling herein important include induced infeasible infinite inherent initial institute introduced larger lies loss makes maps mathematically matrices matrix maximally minimize moreover multiplication must needed negligible objects operator optimized optimizing outcome outdated padding parts periodic perturbation position practical predictions prioritized procedure procedures profiles proper proposed quantitative radiology real regarding represents requirements resolution scale scaling seems separately shimmed simulated simulations since situation smoothness solution space spatial sphere spoiled still suffer superior superiority surrounded susceptibilities susceptibility theory towards transform types unpadded updating validated validation validity view virtual whereas wrap yields zero