A medical imaging system (100, 1200) includes a memory (136) for storing machine executable instructions (170), and a processor (130) for controlling the medical imaging system. Execution of the machine executable instructions causes the processor to: receive (304, 1000) a tagged arterial spin labeled (ASL) magnitude image (148) of a region of interest of a subject (118); receive (306, 1002) a control ASL magnitude image (150) of the region of interest of the subject; construct (308, 1004) an arterial image (152) by subtracting the control ASL magnitude image and the tagged ASL magnitude image; construct (310, 1006) an arterial mask (154) using the arterial image by identifying arteries in the arterial image; receive (312, 1008) a phase contrast magnetic resonance image (156, 158, 160) of at least a portion of the region of interest of the subject; and construct a venous image (164) at least partially by setting voxels of the phase contrast image within the at least a portion of the region of interest that are within the arterial mask to a predetermined background value.