A system for visually rendering an elongate medical device in a body is provided. The system includes an electronic control unit configured to find a measured physical location for each of a plurality of position sensors on the elongate medical device. The electronic control unit is further configured to apply a spline function to each of the measured physical locations to determine a display location for each position sensor. The electronic control unit is further configured to interpolate between display locations of adjacent position sensors to identify display locations for portions of the elongate medical device between adjacent position sensors. The electronic control unit is further configured to generate image data for display of an image of the elongate medical device including the display locations of the position sensors and the display locations of the portions of the elongate medical device between adjacent position sensors.