Smoothing method for free-form surface produced by boundary integral equations

被引：0
|
作者：
Department of Mechanical Engineering, Kinki University, 3-4-1 Kowakae, Higashi-osaka-shi, Osaka, 577-8502, Japan [1 ]
机构：
来源：
Nihon Kikai Gakkai Ronbunshu C | 2006年 / 9卷 / 3052-3058期
关键词：
Boundary element method - Integral equations - Interpolation - Least squares approximations - Numerical methods;
D O I：
10.1299/kikaic.72.3052
中图分类号：
学科分类号：
摘要：
Free-form surfaces can be produced by integral equations and polyharmonic functions. This method is useful for multidimensional interpolation, because scattered data can be used and offsurface normal points are not used. A smoothing method using integrated polyharmonic functions, which is useful for local smoothing, has been proposed. However, there are no smoothing methods suitable for these free-form surfaces produced by integral equations. This paper describes a smoothing method using a least-squares approximation for the free-form surface produced by integral equations. To investigate the effectiveness of this method, several numerical examples are given.
引用
收藏
相关论文
共 50 条
  • [21] An improved gradient-integral method with hybrid iteration for surface measurement of free-form large astronomical mirrors
    Ma, Suodong
    Li, Bo
    Wang, Yan
    Song, Wenbao
    Shen, Weimin
    7TH INTERNATIONAL SYMPOSIUM ON ADVANCED OPTICAL MANUFACTURING AND TESTING TECHNOLOGIES: OPTICAL TEST AND MEASUREMENT TECHNOLOGY AND EQUIPMENT, 2014, 9282
  • [22] Intersection of a ruled surface with a free-form surface
    Xiaoping Wang
    Weizhong Zhang
    Liyan Zhang
    Numerical Algorithms, 2007, 46 (1) : 101 - 103
  • [23] Research on free-form surface optimization method based on surface shape transformation
    Li Junyang
    Li Zhuo
    Zhou Liang
    Liu Longfei
    Long You
    AOPC 2021: OPTICAL SENSING AND IMAGING TECHNOLOGY, 2021, 12065
  • [24] FINISHING AND POLISHING OF FREE-FORM SURFACE
    SAITO, K
    BULLETIN OF THE JAPAN SOCIETY OF PRECISION ENGINEERING, 1984, 18 (02): : 104 - 109
  • [25] Form and texture control of free-form surface polishing
    Ji, SM
    Zhang, X
    Zhang, L
    Yuan, QL
    Wan, YH
    Yuan, JL
    ADVANCES IN GRINDING AND ABRASIVE TECHNOLOGY XIII, 2006, 304-305 : 113 - 117
  • [26] A Method of Creative Design Based on Free-form Surface Reverse Engineering
    Lv Yutao
    An Yaliang
    Yi Jinhui
    Liu Yang
    Zhao Lei
    ISTM/2009: 8TH INTERNATIONAL SYMPOSIUM ON TEST AND MEASUREMENT, VOLS 1-6, 2009, : 2664 - 2666
  • [27] A new planning method for sample points of free-form curved surface
    Key Laboratory for Precision and Non-traditional Machining Technology of Ministry of Education, School of Mechanical Engineering, Dalian University of Technology, Dalian City, Liaoning Province
    116024, China
    Int J Comput Appl Technol, 1 (39-47):
  • [28] A new planning method for sample points of free-form curved surface
    Ma, Jianwei
    Wang, Fuji
    Jia, Zhenyuan
    Wei, Weili
    INTERNATIONAL JOURNAL OF COMPUTER APPLICATIONS IN TECHNOLOGY, 2015, 52 (01) : 39 - 47
  • [29] A New Method on Estimating Free-form Surface Profile Error of Blade
    Xie, Shuxin
    Xu, Hui
    Wang, Zhenhua
    Wu, Yanfan
    Chen, Guodong
    PROCEEDINGS OF 2018 IEEE INTERNATIONAL CONFERENCE ON REAL-TIME COMPUTING AND ROBOTICS (IEEE RCAR), 2018, : 259 - 264
  • [30] Novel method of arbitrary topological composite free-form surface reconstruction
    Ren, Bingyin
    Chen, Haohui
    Jixie Gongcheng Xuebao/Chinese Journal of Mechanical Engineering, 2003, 39 (10): : 162 - 166
12345