In this study, a boundary element method has been implemented to design and analyze the performance of curved gradient coil geometries as a function of the degree of curvature over all three axes, with designs varying continuously from planar to full cylindrical. It was found that there is a monotonic increase in gradient performance with degree of curvature with little gain beyond half‐cylindrical coil geometries for a specific region of interest located 10 cm above the coil surface. The efficiencies of the half‐cylindrical geometry coils are 0.76 mT m−1 A−1, 0.71 mT m−1 A−1, and 0.76 mT m−1 A−1 for the x‐, y‐, and z‐gradient axes, respectively, when scaled to 800 μH inductance. The gradient coils presented in this study would serve as anatomically specific gradient channels to be used in conjunction with larger, whole‐body coils to comprise a 6‐channel hybrid system. The function of these channels could include the ability to provide very high performance diffusion tensor imaging in a specified volume of tissue such as the breast, prostate, or posterior regions of the brain. © 2012 Wiley Periodicals, Inc. Concepts Magn Reson Part B (Magn Reson Engineering) 41B: 62–71, 2012