There exists a large gap between quality of gathered data and what 3DMM is able to synthesize.
Therefore challenges relate not to improving quality of the data but lack of publicly available data.
Then, to build a representative dataset, following questions arise
Shape model defines a shape space with an associated probability distribution of parameters where
a realistic 3D face would be represented by a particular vector w in shape space
Expression model aims to decouple identity and expression by modeling them in separate coefficients
Appearance of a face is influenced by its albedo and illumination. Appearance model capture this
information from texture in uv -space