1. A method of interfacing with a machine, comprising: at each of multiple capture times, contemporaneously acquiring a respective image from each of multiple fields of view defining an interactive space to create a respective set of contemporaneous images; detecting an input target in the acquired images; computing two-dimensional coordinates of the input target detected in the acquired images; constructing a spatiotemporal input data structure linking each of the capture times to the computed two-dimensional coordinates of the input target in each of the contemporaneously acquired images in a respective one of the sets of contemporaneous images; processing the spatiotemporal input data structure to identify an input instruction; and executing the identified input instruction on the machine.