Electrical mapping system and methods are disclosed for modeling both unobstructed and obstructed portions of a catheter. An exemplary system includes a catheter body comprising a distal portion and a proximal portion, the catheter body supporting a plurality of electrodes electrically connected to an output device. The system also includes a rendering component operatively associated with the output device. The rendering component receives raw data from the plurality of electrodes and generates a plurality of images based on the raw data. Then the rendering component overlays the plurality of data images on one another to generate a three-dimensional image representing both the internal tissue and a visible portion of the catheter body. The system also includes an enhancement component which retrieves positional data for the catheter body and overlays a silhouette of at least one obstructed portion of the catheter body.