Method include emitting x-rays from an x-ray source, directing a first portion of the x-rays through an object grating situated adjacent to an object while the object is scanned relative to the object grating along a scan direction, directing a second portion of the x-rays through the object and subsequently through a detector grating without transmitting through the object grating, wherein the object grating and detector grating are adjacently arranged in a field of view of the x-rays sequentially with respect to each other in the scan direction, and receiving the first portion transmitted through the object and object grating with a first portion of a detector and receiving the second portion transmitted through the object and the detector grating with a second portion of the detector adjacent to the first portion of the detector. Systems are also disclosed, along with related techniques for beam hardening correction.