A method for semiconductor metrology includes depositing first and second overlying film layers on a semiconductor substrate and patterning the layers to define an overlay target. The target includes a first grating pattern in the first layer, including at least a first linear grating oriented in a first direction and at least a second linear grating oriented in a second direction perpendicular to the first direction, and a second grating pattern in the second layer, including at least a third linear grating identical to the first linear grating and a fourth linear grating identical to the second linear grating. The second grating pattern has a nominal offset relative to the first grating pattern by first and second displacements in the first and second directions, respectively. A scatterometric image of the substrate is captured and processed to estimate an overlay error between the patterning of the first and second layers.