1. University of Maryland School of Dentistry and Adjunct, Department of Orthodontics, School of Dentistry, The University of North Carolina at Chapel Hill, Chapel Hill, North Carolina.
2. Department of Mathematical Sciences, University of Bath, Bath, United Kingdom.
3. Department of Orthodontics, School of Dentistry, The University of North Carolina at Chapel Hill, Chapel Hill, North Carolina.
4. Facial Animation Laboratory, School of Dentistry
5. Division of Plastic Surgery, The University of North Carolina at Chapel Hill, North Carolina.