Visualization of a probe when impedance-based measurement technology is being used is improved by stabilizing a displayed image of the probe or catheter. Using a model of reasonable probe shapes and a matching algorithm, an erroneous probe image is adjusted so that it assumes a realistic shape on a display. A range of positional variations is also incorporated in the model. When an apparent probe position exceeds a permissible range of motion, the probe image is constrained to a realistic position.