Deformation Matching: Force Computation Based on Deformation Optimization

The tactile information to be presented to a user during interaction with a virtual object is calculated by simulating the contact between the object model and user model. In the simulation, a distributed force is applied to the contact area on the skin tissue of users' hands and results in deformation of the skin tissue. The skin deformation caused by the distributed force is the target contact state that should be presented by the device. However, most multipoint haptic displays do not have sufficient degrees of freedom (DoF) to represent the target contact state. This paper presents the concept and formulation of "deformation matching," whereby the output force is calculated to minimize the error between the target skin deformation and skin deformation that can be realized by the limited DoF device's output force. For comparison, the conventional concept of "force matching" was also formulated. The difference in human perception between these two concepts in the expression of friction was investigated through experiments using a pin-array tactile display capable of stimulating 128 points. It was demonstrated that the perception of the friction coefficient was more sensitive and the perception of the friction direction was more accurate in deformation matching than in force matching.