Abstract: Improved algorithm techniques may be used for superior operation of haptic-based systems. An eigensystem may be used to determine for a given spatial distribution of control points with specified output the set of wave phases that are the most efficiently realizable. Reconstructing a modulated pressure field may use emitters firing at different frequencies. An acoustic phased-array device uses a comprehensive reflexive simulation technique. There may be an exchange of information between the users and the transducer control processors having the ability to use that information for optimal haptic generation shadows and the like. Applying mid-air haptic sensations to objects of arbitrary 3D geometry requires that sensation of the object on the user's hand is as close as possible to a realistic depiction of that object. Ultrasonic haptics with multiple and/or large aperture arrays have high-frequency update rates required by the spatio-temporal modulation.

Abstract: Improved algorithm techniques may be used for superior operation of haptic-based systems. An eigensystem may be used to determine for a given spatial distribution of control points with specified output the set of wave phases that are the most efficiently realizable. Reconstructing a modulated pressure field may use emitters firing at different frequencies. An acoustic phased-array device uses a comprehensive reflexive simulation technique. There may be an exchange of information between the users and the transducer control processors having the ability to use that information for optimal haptic generation shadows and the like. Applying mid-air haptic sensations to objects of arbitrary 3D geometry requires that sensation of the object on the user's hand is as close as possible to a realistic depiction of that object. Ultrasonic haptics with multiple and/or large aperture arrays have high-frequency update rates required by the spatio-temporal modulation.