Medical & Biological Engineering & Computing

, Volume 57, Issue 1, pp 59–70 | Cite as

Relative trajectory-driven virtual dynamic occlusal adjustment for dental restorations

  • Sukun Tian
  • Ning DaiEmail author
  • Xiaosheng Cheng
  • Linlin Li
  • Yuchun SunEmail author
  • Haihua Cui
Original Article


The abnormal occlusal contact can disrupt the coordination and health of the oral jaw system. Therefore, the dynamic adjustment of the occlusal surface is of great significance for assessing the status of occlusal contact and clarifying jaw factors of stomatognathic system diseases. To solve this problem, a trajectory subtraction algorithm based on screw theory to improve the accuracy of the occlusal movement trajectory is proposed in our paper. Driving by the relative trajectory, a virtual dynamic occlusal adjustment system is developed to realize 3D occlusal movement simulating, automatic occluding relation detection, and automatic occlusal adjustment. Furthermore, we adapt an active occlusal adjustment method based on Laplacian deformation to increase the contact areas of the occlusal surface, which can aid dentists to realize the automatic adjustment of the non-interference regions. As a consequence, the proposed subtraction algorithm is feasible and the root-mean-square is 0.097 mm, and the adjusted occlusal surface is more consistent with the natural occlusal morphology.

Graphical abstract


Relative trajectory Occlusal movement Virtual dynamic occlusal adjustment Laplacian deformation CAD/CAM restorations 



We also thanks very much for editors with your attention to our paper.

Authors’ contributions

SK Tian has contributed significantly in research design, drafting of the manuscript and analysis of data. N Dai has contributed significantly in research design and revision of the manuscript. XS Cheng has contributed significantly in acquisition of data and revision of the manuscript. LL Li has contributed significantly in analysis of data, theoretical guidance and condition support. YC Sun has contributed significantly in research design, theoretical guidance and condition support. HH Cui has contributed significantly in analysis and acquisition of data. All authors have read and approved the final submitted manuscript.

Funding information

This study was financially supported by the National Natural Science Foundation of China (Nos. 81271181, 51775273) and the Natural Science Foundation of Jiangsu Province of China (No. BK20161487), Six talent peaks project in Jiangsu Province, China (No. GDZB-034), Jiangsu Province Science and Technology Support Plan Project, China (No. BE2016010-4), and Jiangsu Province Achievements Transformation Project (No. BA2016106).

Compliance with ethical standards

Conflict of interest

The authors declare that they have no conflict of interest.


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Copyright information

© International Federation for Medical and Biological Engineering 2018

Authors and Affiliations

  1. 1.College of Mechanical and Electrical EngineeringNanjing University of Aeronautics and AstronauticsNanjingPeople’s Republic of China
  2. 2.Center of Digital Dentistry, Faculty of ProsthodonticsPeking University School and Hospital of Stomatology & National Engineering Laboratory for Digital and Material Technology of Stomatology & Research Center of Engineering and Technology for Digital Dentistry of Ministry of HealthBeijingPeople’s Republic of China

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