Described are apparatus and methods of operation for three dimensional fluence modulation and scatter shielding for dedicated computed tomography (CT). Through the disclosed invention, the number of incident photons on the field of view (FOV) of the imaging system becomes proportional to the path length of the photon through the anatomy of interest. The apparatus is comprises a patient specific x-ray fluence modulation unit and a scatter shield unit. The fluence modulation unit reduces radiation dose differences across the anatomical part and the dynamic range requirements for the x-ray detector. The scatter shield unit is intended for preventing the scattered beams from reaching the x-ray detector. The internal structures of each unit are composed of elements with adjustable positions dependent on the specific shape of the object in the field-of-view (FOV). Method of operation are also provided.