참고문헌
- Li, L., Schemeauer, N., Peng, X., Zeng, Y. and Gu, P. (2002), A reverse engineering system for rapid manufacturing of complex objects, Robotics and Computer Integrated Manufacturing, 18, 53-67. https://doi.org/10.1016/S0736-5845(01)00026-6
- Bi, Z.M. and Wang, L. (2010), Advances in 3D data acquisition and processing for industrial applications, Robotics and Computer Integrated Manufacturing, 26, 403-413. https://doi.org/10.1016/j.rcim.2010.03.003
- Azariadis, P. and Sapidis, N. (2007), Product design using point-cloud surfaces: A recursive subdivision technique for point parameterization, Computers in Industry, 58, 832-843. https://doi.org/10.1016/j.compind.2007.03.001
- Hahmann, S. and Konz, S. (1997), Fairing bicubic Bspline surfaces using simulated annealing, Curves and Surfaces with Applications in CAGD Conference Proceedings, 159-168.
- Lin, H., Chen, W. and Wang, G. (2005), Curve reconstruction based on an interval B-spline curve, Visual Computing, 21, 1-10. https://doi.org/10.1007/s00371-004-0243-5
- Liu, G.H., Wong, Y.S., Zhang, Y.F. and Loh, H.T. (2003), Modelling cloud data for prototype manufacturing, Journal of Material Processing and Technology, 138, 53- 57. https://doi.org/10.1016/S0924-0136(03)00048-7
- Javidrad, F. and Pourmoayed, A.R. (2011), Contour curve reconstruction from cloud data for rapid prototyping, Robotics and Computer Integrated Manufacturing, 27, 397-404. https://doi.org/10.1016/j.rcim.2010.08.008
- Wang, W., Pottmann, H. and Liu Y. (2004), Fitting Bspline curves to point clouds by squared distance minimization, HKU CS Tech Report TR-2004-11, University of Hong Kong, Hong Kong.
- Wang, W., Pottmann, H. and Liu, Y. (2006), Fitting Bspline curves to point clouds by curvature-based squared distance minimization, ACM Transactions on Graphics (TOG), 25, 214-238. https://doi.org/10.1145/1138450.1138453
- Hoschek, J. (1988), Intrinsic parameterization for approximation. Computer Aided Geometric Design, 5, 27-31. https://doi.org/10.1016/0167-8396(88)90017-9
- Weiss, V., Andor, L., Renner, G. and Varady, T. (2002), Advanced surface fitting techniques, Computer Aided Geometric Design, 19, 19-42. https://doi.org/10.1016/S0167-8396(01)00086-3
- Kin-Sing, D., Wang, W., Qin, H., Wong, K.-Y., Yang, H. and Liu, Y. (2007), Design and analysis of optimization methods for subdivision surface fitting, IEEE Transactions on Visual Computer Graphics, 13, 878-890. https://doi.org/10.1109/TVCG.2007.1064
- Kelly, C.T. (1999), Iterative methods for optimization, Frontiers in applied mathematics, 18, SIAM publications, Philadelphia.
- Flöry, S. and Hofer, M. (2008), Constrained curve fitting on manifolds, Computer- Aided Design, 40, 25-34. https://doi.org/10.1016/j.cad.2007.01.012
- Pottmann, H., Leopoldseder, S. and Hofer, M. (2003), A concept for parametric surface fitting which avoids the parameterization problem, Computer Aided Geometric Design, 20, 343-362. https://doi.org/10.1016/S0167-8396(03)00078-5
- Liu, Y., Pottmann, H. and Wang, W. (2006), Constrained 3D shape reconstruction using a combination of surface fitting and registration, Computer- Aided Design, 38, 572- 583. https://doi.org/10.1016/j.cad.2006.01.014
- Flöry, S. (2009), Fitting curves and surfaces to point clouds in the presence of obstacles, Computer Aided Geometric Design, 26, 192-202. https://doi.org/10.1016/j.cagd.2008.04.003
- Kirkpatrick, S., Galatt, C.D. and Vecchi, M.P. (1983), Optimization by simulated annealing, Science, 220, 671- 680.
- Hajek, B. (1988), Cooling schedules for optimal annealing, Mathematical Operation Research, 13, 311-329. https://doi.org/10.1287/moor.13.2.311
- Hammerlin, G.J. and Hoffmann, K.H. (1991), Numerical Mathematics, Springer-Verlag, New York.
- Bartels, R.H., Beatty, J.C. and Barsky, B.A. (1987), An introduction to splines for use in computer graphics and geometric modeling, Morgan Kaufmann Publishers, California, USA.
- Chen, X.-D., Yong, J.-H., Paul, J.-C. and Xu, G. (2008), Computing the minimum distance between a point and a NURBS curve, Computer- Aided Design, 40, 1051-1054. https://doi.org/10.1016/j.cad.2008.06.008
- Mullineux, G. and Robinson, S.T. (2007), Fairing point sets using curvature, Computer- Aided Design, 39, 27-34. https://doi.org/10.1016/j.cad.2006.09.002
- Li, W., Xu, S., Zheng, J. and Zhao, G. (2004), Target curvature driven fairing algorithm for planar cubic Bspline curves, Computer Aided Geometric Design, 21, 499-513. https://doi.org/10.1016/j.cagd.2004.03.004