FIG. 15A illustrates an array 1502 of twelve cutaneous actuators arranged in two rows and six columns. The twelve points of vibrations generated by the cutaneous actuators may be used to create haptic illusions on the body 1500. In one embodiment, high bandwidth, light weight, portable and wearable cutaneous actuators may be used. For example, each cutaneous actuator may be a voice coil, a linear resonant actuator (LRA), an eccentric rotating mass (ERM) actuator, a piezoelectric actuator, an electroactive polymer actuator, a shape memory alloy actuator, a pneumatic actuator, a microfluidic actuator, some other type of transducer, or a combination thereof, as described above with reference to FIG. 1. For example, six voice coils may be used to create tactile illusions by discrete placement and continuous strokes. A psychophysical control model may be determined to specify how to parametrically control the cutaneous actuators, as illustrated and described in detail below with reference to FIG. 15E.