An autostereoscopic display 101, which provides a depth perception by providing a viewers left and right eyes (104a, 104b) with two slightly different perspectives of an image to be displayed, is provided for ultrasound guided interventions with a surgical instrument (103). The surgeon watches displayed ultrasound data (102), rendered for at least two views. The plane at which those views (L, R) intersect is adjusted to correspond exactly with the tracked three-dimensional position within a displayed scene of the surgical instrument (103), which position can be extracted from the three-dimensional ultrasound data by means of, for example, 3D object recognition. Thus, the point of reconstruction of the image presented to the viewer can be dynamically adjusted to correspond with the position of the surgical instrument on which the surgeons eyes are presumed to be focused.
