Abstract
This paper proposes the reconstruction of craniofacial fracture using rational cubic Ball curve. The idea of choosing Ball curve is based on its robustness of computing efficiency over Bezier curve. The main steps are conversion of Digital Imaging and Communications in Medicine (Dicom) images to binary images, boundary extraction and corner point detection, Ball curve fitting with genetic algorithm and final solution conversion to Dicom format. The last section illustrates a real case of craniofacial reconstruction using the proposed method which clearly indicates the applicability of this method. A Graphical User Interface (GUI) has also been developed for practical application.
Highlights
Craniofacial refers to the study and treatment of certain congenital malformations or facial injuries
This paper proposes the construction of missing portion of traumatised parts of the craniofacial region using rational cubic Ball curves and the final solution is represented in Digital Imaging and Communications in Medicine (Dicom) format for direct application
The section discusses on the representation of rational cubic Ball basis functions. It is followed by an explanation on boundary extraction and corner detection, and on genetic algorithm (GA) which is used as an optimization engine to obtain the best fit for derived corner points
Summary
Craniofacial refers to the study and treatment of certain congenital malformations or facial injuries. This paper proposes the construction of missing portion of traumatised parts of the craniofacial region using rational cubic Ball curves and the final solution is represented in Dicom format for direct application. The section discusses on the representation of rational cubic Ball basis functions It is followed by an explanation on boundary extraction and corner detection, and on genetic algorithm (GA) which is used as an optimization engine to obtain the best fit for derived corner points. Once the boundaries and corners are identified, the step is to fit rational cubic Ball curves to reconstruct the missing craniofacial parts. We use a continuous genetic algorithm (GA) as an engine to optimize free parameters ai and bi to obtain a suitable fit from given boundaries and corner points. 1.27e-05 1.053e-05 5.25e-06 3.033e-06 2.05e-06 1.685e-06 doi:10.1371/journal.pone.0122854.t001
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