1. Department of Orthodontics and Oral Facial Genetics, School of Dentistry, Indiana University, Indianapolis, Indiana
2. Department of Mathematical Sciences, Indiana University–Purdue University Indianapolis, Indianapolis, Indiana
3. Orthodontic Imaging Center, Department of Orthodontics and Oral Facial Genetics, School of Dentistry, Indiana University, Indianapolis, Indiana
4. Faculty of Dental Medicine, Al-Azhar University, Cairo, Egypt
5. Division of Plastic Surgery, Department of Surgery, Indiana University, Indianapolis, Indiana
6. Department of Anthropology, University of Central Florida, Orlando, Florida.