1 Introduction
Facial expressions play an important role in communication in both physical and virtual environments. The emergence of low-cost consumer Head-Mounted Displays (HMDs) made remote communications in Virtual Reality (VR) common. Furthermore, the COVID-19 pandemic has promoted VR applications that allow us to have immersive experiences without meeting in the physical environment. In a virtual environment, VR applications typically use avatars to represent the user. Transferring not only verbal but also non-verbal information such as body gestures and facial expressions between users and avatars enriches interactions. Also, such cases do not always require photo-realistic facial expressions; even with non-photo-realistic avatars, we can have social interaction. VR social services, such as VRChat
https://hello.vrchat.com/
, provide functions that switch avatar facial expressions, indicating that discrete facial expressions also suffice social interactions. Despite the wide use of camera-based approaches for facial expression recognition, immersive HMD occludes most parts of our face, so cameras cannot capture facial expressions in ordinal configurations.