Systems and methods are provided for acquiring and reconstructing projection data that is mathematically complete or sufficient using a computed tomography (CT) system having stationary distributed X-ray sources and detector arrays. In one embodiment, a non-sequential activation is employed to acquire mathematically complete or sufficient projection data. In another embodiment, a distributed source is provided as a generally semicircular segment. In such an embodiment, an alternating activation scheme may be employed to allow one or more helices of image data to be acquired.