Craniofacial Reconstruction Using Rational Cubic Ball Curves

Majeed, Abdul; Piah, Abd Rahni Mt; Gobithaasan, R. U.; Yahya, Zainor Ridzuan

doi:10.1371/journal.pone.0122854

Cited by 13 publications

(9 citation statements)

References 14 publications

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“…For instance, the reconstruction of craniofacial fracture by using rational cubic Ball curve had been proposed in the literature. In that study, GA is used as an optimization algorithm to handle craniofacial reconstruction problem [15]. The finding shows the proposed interpolant work well for solving this problem.…”

Section: Introductionmentioning

confidence: 99%

Reconstruction of Medical Images Using Artificial Bee Colony Algorithm

Rusdi

Yahya

Roslan

et al. 2018

Mathematical Problems in Engineering

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The goal of this study is to assess the efficiency of Artificial Bee Colony (ABC) algorithm in finding the optimal solution of curve fitting problem specifically for medical images. Data of Computed Tomography (CT) images from two different patients were collected. The procedure of curve fitting for medical images include conversion of Digital and Communications in Medicine (DICOM) images to binary images, boundary and corner point detection, parameterization, and curve reconstruction by using ABC algorithm. Then, Sum Square Error (SSE) was used to calculate the distance of the fitted Cubic Bezier curve with the boundary of the original images. Based on the calculation and parameter tuning that had been done, the smallest error of both skulls is57.5754and28.8628, respectively. The finding of this study illustrated that the proposed method had efficiently produced fitted Bezier curve that resemble the original medical images. In addition, the used of Douglas Peucker algorithm helps to improve the performance of the proposed method since computational time can be minimized. This study had shown that the proposed method can be used as an alternative method in order to reconstruct or redesigned the medical images since it produces a small error. For future work, we are planning to explore and applied the ABC algorithm to reconstruct the missing part of the skull since it can reduce the time taken to produce the skull implant as well as reducing the cost of producing it.

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Section: Introductionmentioning

confidence: 99%

Reconstruction of Medical Images Using Artificial Bee Colony Algorithm

Rusdi

Yahya

Roslan

et al. 2018

Mathematical Problems in Engineering

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“…The main difference between their scheme and the proposed scheme in this study is that we construct rational cubic Ball spline with quadratic denominator with one parameter. Thus the computation time will be less compared with the work of Majeed et al [3] ( Table 7). Besides that, there are different types of rational cubic Ball interpolant.…”

Section: Introductionmentioning

confidence: 84%

“…Majeed et al [3] discussed the craniofacial reconstruction by using rational cubic Ball with cubic denominator without any free parameters. They utilized the original Ball function from Ball [4].…”

Section: Introductionmentioning

confidence: 99%

Shape Preserving Interpolation Using Rational Cubic Ball Function and Its Application in Image Interpolation

Karim¹,

Saaban²

2017

Mathematical Problems in Engineering

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New rational cubic Ball interpolation with one parameter is proposed for shape preserving interpolation such as positivity, monotonicity, and convexity preservations and constrained data lie on the same side of the given straight line. To produce shape preserving interpolant, the data dependent sufficient condition is derived on the parameter. The rational bicubic Ball function is constructed by using tensor product approach and it will be used for application in image upscaling. Numerical and graphical results are presented by using Mathematica and MATLAB including comparison with some existing scheme.

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“…In [ 28 ] the continuity between two curve segments is parametric continuity C 1 while in current work the continuity between two curve segments is geometric continuity GC 1 as the geometric continuity is more flexible than parametric. We have used C 1 rational Ball curves with tangents at end points.…”

Section: Gc 1 Rational Cubic Ball Curvementioning

confidence: 99%

“…We will find the free parameters a i , b i and λ i in proposed interpolant by minimizing the cost function. Genetic Algorithm (GA) defined in [ 28 ] is used to find the a i , b i and λ i respectively.…”

Section: Gc 1 Rational Cubic Ball Curvementioning

confidence: 99%

Surface Reconstruction from Parallel Curves with Application to Parietal Bone Fracture Reconstruction

2016

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Maxillofacial trauma are common, secondary to road traffic accident, sports injury, falls and require sophisticated radiological imaging to precisely diagnose. A direct surgical reconstruction is complex and require clinical expertise. Bio-modelling helps in reconstructing surface model from 2D contours. In this manuscript we have constructed the 3D surface using 2D Computerized Tomography (CT) scan contours. The fracture part of the cranial vault are reconstructed using GC1 rational cubic Ball curve with three free parameters, later the 2D contours are flipped into 3D with equidistant z component. The constructed surface is represented by contours blending interpolant. At the end of this manuscript a case report of parietal bone fracture is also illustrated by employing this method with a Graphical User Interface (GUI) illustration.

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Craniofacial Reconstruction Using Rational Cubic Ball Curves

Cited by 13 publications

References 14 publications

Reconstruction of Medical Images Using Artificial Bee Colony Algorithm

Reconstruction of Medical Images Using Artificial Bee Colony Algorithm

Shape Preserving Interpolation Using Rational Cubic Ball Function and Its Application in Image Interpolation

Surface Reconstruction from Parallel Curves with Application to Parietal Bone Fracture Reconstruction

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