For imaging a 3D data set the method of the invention comprises the following steps in succession: acquisition of images, reconstructing a 3D data set, followed by visualization, the reconstruction being started with a limited initial range of orientations around the direction of a local midprojection from a starting point so as to be visualized, the acquisition being continued during visualization and the reconstruction being updated in accordance with the additional acquisition obtained up to a final result. In particular, the selected part comprises a first visualization covering a range of from about 40 to 60, with a midprojection at about from 20 to 30.