Methods and apparatus enable calibration of a display for a particular user thereof. An image displayed such as by an interactive system is adjusted based on physical attributes associated with the user or other characteristics of the user in order to customize the image being displayed. For some embodiments, change to the image includes dynamically resizing and/or repositioning a projected display based on the size and reach of the user to make items shown in the display such as menus or hyperlinks more easily accessible to the user. Input from a camera of the interactive system can be utilized to detect the attribute such as a height of the user for correlation to a typical reach of the user. In operation, the interactive system can therefore dynamically adapt to each unique user as different users approach and interact with the interactive system by automatic calibration of the image being displayed.