Method for operating a visualization system in a surgical application, and visualization system for a surgical application

A visualization system for a surgical application, comprising:

• a capturing device, configured for capturing at least one image representation of a region to be operated on and/or operated on,
• a main display device, configured for displaying the at least one image representation captured,
• a visualization device that can be worn on the head with a display device,
• a pose sensor system, configured for capturing a pose of the visualization device that can be worn on the head relative to a display surface of the main display device, and
• a control device,
• wherein the control device is configured to generate and/or to provide at least one three-dimensional augmentation information item corresponding to the at least one image representation displayed and to communicate it for display to the display device of the visualization device that can be worn on the head, and to carry out the generating and/or providing of the at least one three-dimensional augmentation information item in consideration of the captured pose in such a way that the at least one image representation displayed on the main display device is extended into a three-dimensional region by the at least one three-dimensional augmentation information item corresponding to said at least one image representation.