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Craniofacial reconstruction using rational cubic ball curves.

Majeed A, Mt Piah AR, Gobithaasan RU, Yahya ZR - PLoS ONE (2015)

Bottom Line: 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.A Graphical User Interface (GUI) has also been developed for practical application.

View Article: PubMed Central - PubMed

Affiliation: Division of Science and Technology, University of Education, Town Ship Lahore, Pakistan.

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.

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Related in: MedlinePlus

Graph of the normalized mean squares error of slice 176.
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pone.0122854.g013: Graph of the normalized mean squares error of slice 176.

Mentions: This section illustrates an example of application of the proposed algorithm. We have constructed the inner and outer curve for all CT scan slices using rational Ball interpolant. Fig 5a is the original CT scan of slice 160. To construct the traumatized part, we first convert the image to its binary form Fig 5b, then we extracts the boundary of skull shown in Fig 5c using mathematical morphology. Fig 5d shows the reconstructed inner and outer curves. Once a satisfactory result is obtained from GA optimization, we convert the area between two curves into Dicom format as shown in Fig 6. The first image of Fig 6 shows a given Dicom slice of 160, the second image is the missing part obtained from the proposed algorithm in Dicom and third image is the combination of first two images, which is the required Dicom solution. This process is repeated for various CT scan slices as shown in Figs 7–12. The given Dicom data for skull are in sequence and consistent for different frames or contours. The constructed curves of the missing parts using rational cubic Ball interpolant will be consistent between different frames since these curves obey convex hull property, variation diminishing property (VDP), independent of coordinate system and satisfy the end point conditions. By convex hull property all constructed curves will lie within the convex hull of control polygon. Fig 13 represents the graph of normalized mean squares error of slice 176. Fig 14 is the display of Graphical User Interface (GUI).


Craniofacial reconstruction using rational cubic ball curves.

Majeed A, Mt Piah AR, Gobithaasan RU, Yahya ZR - PLoS ONE (2015)

Graph of the normalized mean squares error of slice 176.
© Copyright Policy
Related In: Results  -  Collection

License
Show All Figures
getmorefigures.php?uid=PMC4400145&req=5

pone.0122854.g013: Graph of the normalized mean squares error of slice 176.
Mentions: This section illustrates an example of application of the proposed algorithm. We have constructed the inner and outer curve for all CT scan slices using rational Ball interpolant. Fig 5a is the original CT scan of slice 160. To construct the traumatized part, we first convert the image to its binary form Fig 5b, then we extracts the boundary of skull shown in Fig 5c using mathematical morphology. Fig 5d shows the reconstructed inner and outer curves. Once a satisfactory result is obtained from GA optimization, we convert the area between two curves into Dicom format as shown in Fig 6. The first image of Fig 6 shows a given Dicom slice of 160, the second image is the missing part obtained from the proposed algorithm in Dicom and third image is the combination of first two images, which is the required Dicom solution. This process is repeated for various CT scan slices as shown in Figs 7–12. The given Dicom data for skull are in sequence and consistent for different frames or contours. The constructed curves of the missing parts using rational cubic Ball interpolant will be consistent between different frames since these curves obey convex hull property, variation diminishing property (VDP), independent of coordinate system and satisfy the end point conditions. By convex hull property all constructed curves will lie within the convex hull of control polygon. Fig 13 represents the graph of normalized mean squares error of slice 176. Fig 14 is the display of Graphical User Interface (GUI).

Bottom Line: 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.A Graphical User Interface (GUI) has also been developed for practical application.

View Article: PubMed Central - PubMed

Affiliation: Division of Science and Technology, University of Education, Town Ship Lahore, Pakistan.

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.

Show MeSH
Related in: MedlinePlus