Latent Variable Growth Curve Models:
These techniques, also called Latent Curve Models (LCM), take traditional modeling of growth curves for repeated measures data and extend it to cover the use of latent variables. In Latent Variable Growth Curve Models, Structural Equation Modeling (SEM) methods are used and extended to cover the modeling of the latent variables.
The statistics.com online course Advanced Structural Equation Modeling covers this topic in some detail.