Technical Section: An extended iterative format for the progressive-iteration approximation

作者: Hongwei Lin , Zhiyu Zhang

DOI: 10.1016/J.CAG.2011.07.003

关键词:

摘要: Progressive-iteration approximation (PIA) is a new data fitting technique developed recently for blending curves and surfaces. Taking the given data points as the initial control points, …

参考文章(25)
Wayne Tiller, Les Piegl, The NURBS Book ,(1995)
Hong-Wei Lin, Hu-Jun Bao, Guo-Jin Wang, Totally positive bases and progressive iteration approximation Computers & Mathematics With Applications. ,vol. 50, pp. 575- 586 ,(2005) , 10.1016/J.CAMWA.2005.01.023
Hongwei Lin, The convergence of the geometric interpolation algorithm Computer-aided Design. ,vol. 42, pp. 505- 508 ,(2010) , 10.1016/J.CAD.2010.01.006
Hongwei LIN, Constructing iterative non-uniform B-spline curve and surface to fit data points Science in China Series F. ,vol. 47, pp. 315- 331 ,(2004) , 10.1360/02YF0529
Zhongxian Chen, Xiaonan Luo, Le Tan, Binghong Ye, Jiapeng Chen, Progressive Interpolation based on Catmull-Clark Subdivision Surfaces Computer Graphics Forum. ,vol. 27, pp. 1823- 1827 ,(2008) , 10.1111/J.1467-8659.2008.01328.X
Lizheng Lu, Weighted progressive iteration approximation and convergence analysis Computer Aided Geometric Design. ,vol. 27, pp. 129- 137 ,(2010) , 10.1016/J.CAGD.2009.11.001
J. Delgado, J.M. Peña, Progressive iterative approximation and bases with the fastest convergence rates Computer Aided Geometric Design. ,vol. 24, pp. 10- 18 ,(2007) , 10.1016/J.CAGD.2006.10.001
Fengtao Fan, Fuhua (Frank) Cheng, Shuhua Lai, Subdivision Based Interpolation with Shape Control Computer-Aided Design and Applications. ,vol. 5, pp. 539- 547 ,(2008) , 10.3722/CADAPS.2008.539-547
Wenping Wang, Helmut Pottmann, Yang Liu, Fitting B-spline curves to point clouds by curvature-based squared distance minimization ACM Transactions on Graphics. ,vol. 25, pp. 214- 238 ,(2006) , 10.1145/1138450.1138453
Shu-ichi Gofuku, Shigefumi Tamura, Takashi Maekawa, Point-tangent/point-normal B-spline curve interpolation by geometric algorithms Computer-aided Design. ,vol. 41, pp. 412- 422 ,(2009) , 10.1016/J.CAD.2009.02.005