1. A method of interfacing with a machine, comprising: acquiring sets of contemporaneous images of an interactive space from multiple respective fields of view; detecting an input target in the acquired images; computing coordinates of the input target detected in the acquired images; constructing a spatiotemporal input data structure linking input target coordinates computed from contemporaneous images to respective reference times; processing the spatiotemporal input data structure to identify an input instruction; and executing the identified input instruction on the machine.