A composite image of an artery is produced by reconstruction synchronized after a scanner acquires (101) data during an examination, the data being acquired from several phases of a cardiac cycle. The data is extracted locally, the localization corresponding to the section of the artery for which it is desired to improve the quality of the image. The localization is obtained through a plotting (103) of the artery in a selected volume image (102). An image is obtained (105-107) in which each section of the artery is displayed on the basis of data coming from the phase of the cardiac cycle most appropriate to the display of this section.