A method is for medical imaging and image processing in the form of a perspective volumetric display. The method includes providing a multiplicity of temporally graded 3D data volumes at a multiplicity of instants, a 3D data volume, respectively being assigned to an instant; and prescribing a spatially absolutely fixed viewer position within an evaluation volume for at least one 3D data volume at a first instant. The method further includes determining a temporal correlation between the spatially absolutely fixed viewer position and the evaluation volume for at least one further 3D data volume at at least one second instant; determining a viewer position, spatially relatively fixed in relation to the evaluation volume, within the evaluation volume for the at least one further 3D data volume at the at least one second instant; and displaying the interior of the evaluation volume from a perspective of the spatially relatively fixed viewer position for the at least one further 3D data volume at the at least one second instant.