A computer-implemented method is for visualization of a three-dimensional object represented by volume data for a user in the form of a two-dimensional visualization image including a plurality of visualization pixels. In an embodiment, the method includes: providing an image synthesis algorithm designed for visualization of the three-dimensional object by mapping the volume data onto the visualization pixels; detecting an instantaneous viewing direction of the user; determining a focus area defined as a region of the visualization image, upon which the user focuses based upon the instantaneous viewing direction; adjusting the image synthesis algorithm such that the computing effort required for the mapping for visualization pixels outside of the focus area is lower than for visualization pixels inside of the focus area; and mapping volume data onto the visualization pixels with the adjusted image synthesis algorithm.