Abstract: Enables a local positioning and response system that allows devices in a defined area to determine their local positions in the area, and to generate individual responses based on their positions, for example based on broadcast messages. Responses can include light, sound, shock, vibration, temperature or any other physical signal. Positioning may use overlapping shaped beam signals that permit each device to determine its local position. Response to broadcast messages with local position dependency enables efficient communication with potentially thousands or millions of response units over limited bandwidth channels. Efficient communication may also be supported by messages containing high-level graphical primitives, with devices determining their individual contributions to an aggregate image. The system may also provide correction for image distortions.

Abstract: Enables a local positioning and response system that allows devices in a defined area to determine their local positions in the area, and to generate individual responses based on their positions, for example based on broadcast messages. Responses can include light, sound, shock, vibration, temperature or any other physical signal. Positioning may use overlapping shaped beam signals that permit each device to determine its local position. Response to broadcast messages with local position dependency enables efficient communication with potentially thousands or millions of response units over limited bandwidth channels. Efficient communication may also be supported by messages containing high-level graphical primitives, with devices determining their individual contributions to an aggregate image. The system may also provide correction for image distortions.