“…While FACS (Ekman et al 2002) provides a 5-point ordinal scale for coding the intensity AUs, there is no established standard for how to code the intensity of holistic facial expressions (e.g., those of the six basic emotions). Primarily for this reason and the observation in (Hess et al 1997) that the expression decoding accuracy and the perceived intensity of the underlying affective state vary linearly with the physical intensity of a facial display, the existing works on intensity estimation of facial expressions of the basic emotions resort to an unsupervised approach to modeling of the expression intensity (e.g., (Amin et al 2005, Shan 2007, Kimura & Yachida 1997, Lee & Xu 2003, Yang et al 2009b). The main idea in these works is that the variation in facial images due to the facial expressions can be represented on a manifold, where the image sequences are embedded as continuous curves.…”