In a visualization system a three-dimensional scene (43) is projected onto a camera's view projection plane (42) from a camera's defined viewpoint (41) and mapped onto a two-dimensional display. For positioning a pointer (45) in the three-dimensional scene (43), the view of the three-dimensional scene is animated automatically to provide to a user the view of the three-dimensional scene with a kinetic depth effect. The view of the three-dimensional scene is animated by applying a spatial transformation to the three-dimensional scene (43) or the camera. The transformation is applied to the three-dimensional (43) scene or the camera such that the projected view of the pointer (45) remains essentially static. The pointer (45) is positioned based on signals received from the user, while the view is animated. Providing to the user an animated view of the three-dimensional scene with a kinetic depth effect makes it possible for the user to place the pointer (45) in all three dimensions without the need for stereoscopic vision.