A new generation of high power gradient systems which allow much faste
r MR imaging as well as shorter echo times has recently become availab
le. Some of these high-speed gradient systems impose limits an the per
centage of time during which the gradient can change in amplitude (sle
wing duty cycle), While this limitation may be immaterial to many 2DFT
and echo planar imaging methods, a traditional circular spiral trajec
tory is difficult to use on these systems because its gradient wavefor
ms change during the entire course of the trajectory so that the slewi
ng duty cycle during the readout period is 100%. We describe a piecewi
se-linear spiral trajectory which is composed of linear segments and r
ounded corners. This trajectory reduces the slewing duty cycle while m
aintaining the desirable imaging properties of circular spirals includ
ing interleaving by simple gradient rotation. For one representative e
xample, the slewing duty cycle is reduced to 46%. A conventional gridd
ing method was used for image reconstruction, but a new numerical algo
rithm to calculate the density compensation factor was required, Use o
f piecewise-linear spiral trajectories reduces the impact imposed by l
imited gradient slewing duty cycle.