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

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  • Abdul Majeed
  • Abd Rahni Mt Piah
  • Zainor Ridzuan Yahya

Abstract

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.

Suggested Citation

  • Abdul Majeed & Abd Rahni Mt Piah & Zainor Ridzuan Yahya, 2016. "Surface Reconstruction from Parallel Curves with Application to Parietal Bone Fracture Reconstruction," PLOS ONE, Public Library of Science, vol. 11(3), pages 1-16, March.
    • Handle: RePEc:plo:pone00:0149921
    DOI: 10.1371/journal.pone.0149921
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    Cited by:

    1. Abdul Majeed & Muhammad Abbas & Kenjiro T. Miura, 2022. "A Comparative Study of Different Schemes Based on Bézier-like Functions with an Application of Craniofacial Fractures Reconstruction," Mathematics, MDPI, vol. 10(8), pages 1-16, April.
    2. Abdul Majeed & Muhammad Abbas & Faiza Qayyum & Kenjiro T. Miura & Md Yushalify Misro & Tahir Nazir, 2020. "Geometric Modeling Using New Cubic Trigonometric B-Spline Functions with Shape Parameter," Mathematics, MDPI, vol. 8(12), pages 1-25, November.
    3. Nur Atiqah Binti Zulkifli & Samsul Ariffin Abdul Karim & A’fza Binti Shafie & Muhammad Sarfraz & Abdul Ghaffar & Kottakkaran Sooppy Nisar, 2019. "Image Interpolation Using a Rational Bi-Cubic Ball," Mathematics, MDPI, vol. 7(11), pages 1-18, November.
    4. Majeed, Abdul & Mt Piah, Abd Rahni & Rafique, Muhammad & Abdullah, Johari Yap & Rajion, Zainul Ahmad, 2017. "NURBS curves with the application of multiple bones fracture reconstruction," Applied Mathematics and Computation, Elsevier, vol. 315(C), pages 70-84.

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