A display data set depicting a three-dimensional source data set of display parameters is generated through volume rendering. Integration distance is subdivided based on a fixed predetermined target sampling distance independent of a desired sampling distance. The number of subsections minus one correspond to integrations over different subsections with front and back values of the display parameter as a target sampling distance opacity. A contribution of the volume-rendering integral and a target sampling distance color coefficient are based on the target sampling distance opacity. Target sampling distance opacities and target sampling distance color coefficients are determined based on pre-integration tables for contributions of the volume-rendering integral. Third opacities are calculated and converted to the desired sampling distance from target sampling distance opacities and the ratio of desired sampling distance to target sampling distance. Third color coefficients are calculated, and the volume-rendering integral is determined from the contributions.