Chinese Journal of Lasers, Volume. 37, Issue 6, 1643(2010)
A New Method to Obtain Discrete Cutting Points of Space Curve in Three-Dimensional Laser Cutting
[3] [3] Huang Kaijin, Xie Changsheng, Xu Desheng. Effects of spatial curvature radius on the three-dimensional laser cutting quality [J]. Chinese J. Lasers, 2001, A28(5):471~475
[4] [4] G. Chaikin. An algorithm for high speed curve generation [J]. Computer Graphics & Image Processing, 1974, 3(4):346~349
[5] [5] R. F. Rieseofeld. On Chaikin’s algorithm [J]. Computer Graphics & Image Processing, 1975, 4(3):304~310
[6] [6] E. Catmull, J. Clark. Recursively generated B-spline surfaces on arbitrary topological meshes [J]. Computer-Aided Design, 1978, 10(6):350~355
[7] [7] D. Doo, M. Sabin. Behavior of recursive division surfaces near extraordinary points [J]. Computer-Aided Design, 1978, 10(6):356~360
[8] [8] Piegl A. Leslie. Richard M. Arnaud. Tessellating trimmed NURBS surfaces [J]. Computer-Aided Design, 1995, 27(1):16~26
[9] [9] X. Sheng, B. E. Hirsch. Triangulation of trimmed surfaces in parametric space [J]. Computer-Aided Design, 1992, 24(8):437~444
[10] [10] Xu Song, Wang Jianying. Adaptive triangulation of curved surface [J]. Journal of Computer-Aided Design & Computer Graphics, 2000, 12(4):267~271
[11] [11] Li Ketian, Chen Tongjian, Deng Detao. Principle of the line approach curves and application in cam manufacturing [J]. Machinery Design & Manufacture, 2002, (1):66~68
[12] [12] Chen Hanjun, Liao Wenhe, Zhou Rurong. Approximating a radom circle curve by air spline [J]. Journal of Nanjing University of Aeronautics & Astronautics, 1995, 27(6):773~777
[13] [13] Wu Zhongke, Jiao Haixing, Dai Guozhong. An algorithm of approximating linesegment and circular arcs and its application invectorization of engineering drawings [J]. Journal of Computer-Aided Design & Computer Graphics, 1998, 10(4):328~332
[14] [14] Wang Yongjun, Zhang Jinran, Xie Youjin et al.. A method for approximating space curve by lines and arcs [J]. Mechanical Science and Technology, 2008, 27(11):1361~1364
[15] [15] Meng Daoji, Liang Ke. Differential Geometry [M]. Second edition. Beijing: Science Press, 2004
Get Citation
Copy Citation Text
Wang Liu, Hu Guanhu, Hu Jun, Luo Jingwen. A New Method to Obtain Discrete Cutting Points of Space Curve in Three-Dimensional Laser Cutting[J]. Chinese Journal of Lasers, 2010, 37(6): 1643
Category: laser manufacturing
Received: Oct. 23, 2009
Accepted: --
Published Online: Jul. 7, 2010
The Author Email: Liu Wang (jacky_tt1360@yahoo.com.cn)
CSTR:32186.14.