Hans Weber1,
  Sebastian Littin1, Gigi Galiana2, Feng Jia1,
  Anna M. Welz1, Robert Todd Constable2, 3,
  Jrgen Hennig1, Maxim Zaitsev1
 1Department
  of Radiology, Medical Physics, University Medical Center Freiburg, Freiburg,
  Germany; 2Diagnostic Radiology, Yale University, New Haven, CT,
  United States; 3Biomedical Engineering, Yale University, New
  Haven, CT, United States
ExLoc allows excitation and geometrically matched spatial encoding of curved slices by the application of a set of nonlinear, but locally orthogonal, encoding fields. So far the concept could be demonstrated for slices with one curved dimension. In this study, we apply ExLoc to a planar gradient system, generating field components with nonlinear variation along all three dimensions. For the first time, this allows selection and encoding of slices with two curved dimensions.