The invention relates to a visualization apparatus (1) for visualizing an image data set. The visualization apparatus (1) comprises an image data set providing unit (2) for providing the image data set, a differential property determination unit (5) for determining local differential properties for different regions of the image data set, an assigning unit (6) for assigning visualization properties to the different regions of the image data set depending on the determined local differential properties, wherein a visualization property defines the visualization of a region, to which the visualization property is assigned, and a display unit (7) for displaying the visualization properties assigned to the different regions of the image data set. By displaying the visualization properties assigned to the different regions of the image data set different objects can visually be separated from each other without requiring large computational costs.