An Automated Mesh Generation Algorithm for Curved Surfaces of Ship Longitudinal Structures

REFERENCES

• Barn, H. R. E.; Kersey S. N.: A marching method for parametric surface/surface intersection, Computer Aided Geometric Design, 7, 1990, 257–280. doi: 10.1016/0167-8396(90)90035-P
   Google Scholar
• Chen, H.; Bishop, J.; Delaunay triangulation for curved surface, In: Proceedings of the 6th Inter-national Meshing Roundtable, Utah, US, 1997, p. 115–127.
   Google Scholar
• Cuilliere, J. C.: An adaptive method for the automatic triangulation of 3D parametric surfaces, Computer Aided Design, 30(2), 1998, 139–149. doi: 10.1016/S0010-4485(97)00085-7
   Web of Science ®Google Scholar
• George, P.-L; Seveno, E.: The advancing-front mesh generation method revisited, International Journal for Numerical Method Engineering, 37, 1994, 3605–3619. doi: 10.1002/nme.1620372103
   Web of Science ®Google Scholar
• Goldman, R. N.: The method of resolvents: A technique for the implicitization, inversion, and intersection of non-planar, parametric, rational cubic curves, Computer Aided Geometric Design, 2(1), 1985, 237–255. doi: 10.1016/S0167-8396(85)80001-7
   Google Scholar
• Hoscheck, J.; Lasser D.: Fundamentals of computer aided geometric design, A.K. Peters, Wellestey, MA: 1993.
   Google Scholar
• Hu, S.-M.; Sun, J.-G.; Jin, T.-G.; Wang, G.-Z.: Computing the parameters of points on NURBS curves and surfaces via moving affine frame method, Journal of Software, 11(1), 2000, 49–53.
   Google Scholar
• Jiang, Y.-M.: An intersection algorithm between two B-spline curves, Microelectronics & Computer, 12, 1991, 30–33.
   Google Scholar
• Jin, T.-G.; Wang, G.-Z.: MAF method for intersection calculation between parametric surfaces, Zhejiang University, Technical Report, No.: 8801057, 1988.
   Google Scholar
• Koparkar, P. A.; Mudur, S. P.: A new class of algorithms for processing of parametric curves, Computer Aided Design, 15(1), 1983, 41–45. doi: 10.1016/S0010-4485(83)80050-5
   Web of Science ®Google Scholar
• Lau, T.-S.; Lo, S.-H.: Finite element mesh gene-ration over analytical curved surfaces, Computer & Structures, 59(2), 1994, 301–309.
   Web of Science ®Google Scholar
• Li, J.-F.; Shi, F.-Z.: A practical subdivision algorithm for intersection of B-spline curves, Journal of Machine Design, 20(11), 2003, 49–51.
   Google Scholar
• Lin, W.; Tang, Y.; Zhao, C.; Liu, X.; Zhu, G.; Jiang, F.: An algorithm for automatic two dimensional finite element mesh generation with line constraints, Computer-Aided Design, 43, 2011, 1803–1813. doi: 10.1016/j.cad.2011.08.001
   Web of Science ®Google Scholar
• Lin, W.; Wang, C.; Zhu, G.; Tang, Y.; Zhao, C.; Liu, X.; Qiu, A.: Automatic recognition of hull transverse sections and quick finite element modelling for cargo hold longitudinal structures, Proceedings of the Institution of Mechanical Engineers - Part M: Journal of Engineering for the Maritime Environment, 2013 (Accepted). http://dx.doi.org/10.1177/1475090213507914
   Google Scholar
• Lu, C.-H.: Key technologies in preliminary ship design based on NURBS representation, Dalian University of Technology, 2005.
   Google Scholar
• Mei, Z.-Y.; Fan, Y.-Q.; Hu S.-G.: Finite element mesh generation of NURBS surfaces, Journal of Computer-aided Design & Computer Graphics, 9(1), 1997, 289–294.
   Google Scholar
• Rypl, D.; Krysl, P.: Triangulation of 3D surfaces, Engineering with Computers, 13(2), 1997, 87–98. doi: 10.1007/BF01350752
   Web of Science ®Google Scholar
• Sederberg, T. W.; Anderson, D. C.; Goldman, R. N.: Implicitization, inversion, and intersection of planar rational cubic curves, Computer Vision, Graphics and Image Processing, 31(1), 1985, 89–102. doi: 10.1016/S0734-189X(85)80077-3
   Google Scholar
• Sederberg, T. W.; Nishita, T.: Curve intersection using Bezier clipping, Computer Aided Geometric Design, 22(9), 1990, 538–549. doi: 10.1016/0010-4485(90)90039-F
   Web of Science ®Google Scholar
• Song, H.-X; Han, Y.; Wu, C.-N.: An intersection algorithm of NURBS surface and plane based on the method of isoline, Digital Technology and Application, 7, 2011, 103–105.
   Google Scholar
• Xiong, Y.; Hu, Y.-J.; Zhao, J.-Y.: An algorithm of surface triangulation based on mapping and Delaunay method, Journal of Computer-aided Design & Computer Graphics, 14(1), 2002, 56–60.
   Google Scholar
• Yu, Z.-S.; Peng, Q.-S.; Ma, L.-Z.: An algorithm for intersection between parametric surface and implicit surface, Journal of Computer Aided Design & Computer Graphics, 11(2), 1999, 97–99.
   Google Scholar
• Zhang, M.-X.; Ji, Z.-S.; Lin, Y.; Implementation and application of intersection between NURBS-based surface and implicit surface, Ship Building of China, 43(3), 2002, 94–98.
   Google Scholar
• Zhang, S.-H.; Huang, Z.-Y.: Intersections of planar parametric curves based on curvature circle, Chinese Journal of Computers, 30(9), 2007, 1588–1593.
   Google Scholar
• Zheng, Y.; Lewis, R. W.; Gethin, D. T.: Three-dimensional unstructured mesh generation: Part I, Foundational aspects of triangulation and point creation, Computer Methods in Applied Mechanics and Engineering, 134(3/4), 1996, 249–268. doi: 10.1016/0045-7825(95)00916-7
   Web of Science ®Google Scholar
• Zheng, Y.; Lewis, R. W.; Gethin D. T.: Three-dimensional unstructured mesh generation: Part II, Foundational aspects of triangulation and point creation, Computer Methods in Applied Mechanics and Engineering, 134(3/4), 1996, 269–284. doi: 10.1016/0045-7825(95)00917-5
   Web of Science ®Google Scholar