A smart phone receives imagery depicting a scene, and overlays indicia (augmentations) corresponding to supplemental data that relate to one or more features in the scene. The overlaid indicia are narrowed from a larger universe of options based on two criteria. A first criterion comprises factors such as actions previously taken by the user or third parties expressing interest or disinterest in presented indicia, time of day, and topical preference data for the user. A second criterion comprises a setting of a user-settable visual verbosity control. A user can thereby vary how much information, identified using the first criteria, is overlaid on the displayed scene, by varying the setting of the visual verbosity control. A great number of other features and arrangements are also detailed.