A user gestures with a wireless mobile phone device to control some aspect of its operation, or the operation of a remote system with which the device communicates. (The gestures may be sensed by tracking movement of a feature across a field of view of a mobile phone device camera.) The resultant operation may additionally depend on other data obtained by the wireless device, e.g., obtained from an electronic or physical object, or sensed from the environment. A variety of other features and arrangements are also detailed.