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 C2 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.

Highlights

  • The etiology of craniofacial fractures stretch from road traffic accidents, fist fights, falls and sports injury

  • There is no need for staff/tools, only a patient’s CT scan Digital Imaging and Communications in Medicine (DICOM)

  • There is no need for a reference skull using the proposed method, only 2D CT scan data are required

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Summary

Introduction

The etiology of craniofacial fractures stretch from road traffic accidents, fist fights, falls and sports injury. Mathematics 2020, 8, 1246 the adaptive deformation method for fracture reconstruction In this method, firstly, the author has constructed a reference model according to patients skull, and, later, performed a 3D matching for the correlation. The method, based on a reference skull, is used by [5] for fracture reconstruction. By this method, a user can not get custom made implants. The author constructed a mandible bone fracture using this method. We used a bi-cubic rational Ball surface to reconstruct the 3D fractured craniofacial site. There is no need to use a reference model, mirroring, statistical analysis or technical staff. To validate the proposed method, real cases with frontal and parietal bone fractures were used in this paper

Proposed Method
Properties of Ball Basis Functions and Curve
The 190
Bi-Cubic Rational Ball Surface
Validity of Proposed Method
Case Study
Proposed Algorithm
Conclusions
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