The Animation of Facial Expressions for 3D Human Face Images through New Time-Varying Homotopy based on Digital Control Theory

Abstract

Time-varying homotopy was developed by defining time in topological homotopy. It achieved real time natural animation of 3D human faces in a virtual teleconferencing system which is part of a virtual teleconferencing system. At that stage, however, time-varying homotopy had not yet been defined physically. To fill this gap, I invented physical time-varying homotopy, which is based on digital control theory. It becomes possible to animate CG (Computer Graphics) objects more naturally in real time. Moreover, I suggest that digital control theory and digital signal processing are useful for applications in virtual teleconferencing systems and general CG animation.