A method is disclosed for generating a haptic model including at least one virtual object which can be presented using both a visual display device and a haptic device to a user. Information of at least one candidate virtual object is obtained, the candidate virtual object including both a haptic representation and a visual representation. For each of the at least one candidate virtual object, reachability data, indicating whether the candidate virtual object is reachable for the user is determined. For each of the at least one candidate virtual object, visibility data, indicating whether the candidate virtual object is visible for the user is determined. A haptic model is generated selectively including at least one candidate virtual object, the inclusion of each candidate virtual object being based on its respective reachability and visibility data. The haptic model is provided to be rendered.