Surface Modeling from 2D Contours with an Application to Craniofacial Fracture Construction

Abdul Majeed, Muhammad Abbas, Kenjiro T. Miura, Mohsin Kamran and Tahir Nazir
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Abdul Majeed: Department of Mathematics, Division of Science and Technology, University of Education, Lahore 54770, Pakistan
Muhammad Abbas: Informetrics Research Group, Ton Duc Thang University, Ho Chi Minh City 70000, Vietnam
Kenjiro T. Miura: Department of Mechanical Engineering, Shizuoka University, Hamamatsu, Shizuoka 432-8011, Japan
Mohsin Kamran: Department of Mathematics, Division of Science and Technology, University of Education, Lahore 54770, Pakistan
Tahir Nazir: Department of Mathematics, University of Sargodha, Sargodha 40100, Pakistan

Mathematics, 2020, vol. 8, issue 8, 1-16

Abstract: Treating trauma to the cranio-maxillofacial region is a great challenge and requires expert clinical skills and sophisticated radiological imaging. The aim of reconstruction of the facial fractures is to rehabilitate the patient both functionally and aesthetically. Bio-modeling is an important tool for constructing surfaces using 2D cross sections. The aim of this manuscript was to show 3D construction using 2D CT scan contours. The fractured part of the cranial vault were constructed using a Ball curve with two shape parameters, later the 2D contours were flipped into 3D with an equidistant z component. The surface created was represented by a bi-cubic rational Ball surface with C 2 continuity. At the end of this article, we present two real cases, in which we had constructed the frontal and parietal bone fractures using a bi-cubic rational Ball surface. The proposed method was validated by constructing the non-fractured part.

Keywords: CT scan data; rational Ball curves; bi-cubic Ball surface; 2D fractured part curves; 3D craniofacial reconstruction (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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