零件曲线拟合不确定度的评估与降低方法

韦进文

doi:10.7652/xjtuxb202110008

您当前的位置：

首页 >

文章列表页 >

零件曲线拟合不确定度的评估与降低方法

专题先进制造 | 更新时间：2025-07-09

- 零件曲线拟合不确定度的评估与降低方法
- The Uncertainty Valuation and Reduction in Part Curve Fitting
- 西安交通大学学报 2021年55卷第10期页码：68-77
- 作者机构：
  
  广西大学机械工程学院,南宁,530004
- 作者简介：
  
  : 2020-12-15。作者简介: 韦进文(1976—),男,教授。基金项目: 广西自然科学基金资助项目(2018JJAI 27316)
- 基金信息：
  
  : 2020-12-15。作者简介: 韦进文(1976—),男,教授。基金项目: 广西自然科学基金资助项目(2018JJAI 27316);广西教育厅科研资助项目(2013LX015);国家自然科学基金资助项目(51365004)
- DOI：10.7652/xjtuxb202110008
  中图分类号： TH39
- 网络首发：2021-10-10，
  
  纸质出版：2021
- 稿件说明：
移动端阅览
韦进文. 零件曲线拟合不确定度的评估与降低方法[J]. 西安交通大学学报, 2021,55(10):68-77.

WEI Jinwen. The Uncertainty Valuation and Reduction in Part Curve Fitting[J]. 2021, 55(10): 68-77.
韦进文. 零件曲线拟合不确定度的评估与降低方法[J]. 西安交通大学学报, 2021,55(10):68-77. DOI： 10.7652/xjtuxb202110008.

WEI Jinwen. The Uncertainty Valuation and Reduction in Part Curve Fitting[J]. 2021, 55(10): 68-77. DOI： 10.7652/xjtuxb202110008.

摘要

针对零件曲线拟合中的数据噪声与误差、数据分割误差以及用错几何元素等引起的不确定度进行评估并提出其降低方法。首先

基于蒙特卡罗法

在拟合数据中叠加噪声、用零均值高斯分布作为分割误差模型、用圆弧拟合Bezier曲线

以数字仿真研究拟合参数的不确定度。结果表明

对不确定度影响最大的是分割误差与用错几何元素

远大于数据噪声的影响; 其次

为了降低拟合参数的不确定度

采用高维向量映射测试元素特征在局部数据中的恒定性

找出其所在的数据段范围

从而准确辨识出各数据段的几何元素。仿真与实物实验均表明

提出的方法能够正确识别数据序列的几何元素、准确分割数据

从而降低零件曲线拟合不确定度。

Abstract

The uncertainties from data noise and error

data segmentation error and wrong fitting geometric elements

are evaluated respectively

and then a method to decrease the uncertainties is proposed for the curve fitting of parts. Firstly

based on Monte Carlo method

the uncertainty of fitting parameters is studied by adding noise to fitting data

using 0-means Gaussian distribution as segmentation error model

and using circular arc to fit Bezier curve. The results show that segmentation error and misuse of geometric elements have a great influence on the uncertainty

which is much greater than the influence of data noise. Secondly

in order to segment the data sequence accurately

high-dimensional vector mapping is proposed to test the constancy of local features of elements

identify the geometric elements in the data sequence

and find out the range of the data segment. Simulation and experiment results show that the proposed method can obtain more accurate data segmentation and fitting than traditional methods.

关键词

Keywords

references

唐浩, 邓朝晖, 万林林, 等. 基于交替隔点插值的凸轮升程拟合方法在磨削加工中的应用 [J]. 机械工程学报, 2012, 48(23): 191-199.

TANG Hao, DENG Zhaohui, WAN Linlin, et al. Application of cam lift fitting method based on alternative-point interpolation in grinding process [J]. Journal of Mechanical Engineering, 2012, 48(23): 191-199.

FORBES A B. Parameter estimation based on least squares methods [M]∥ Data Modeling for Metrology and Testing in Measurement Science. Boston, USA: Birkhäuser Boston, 2009: 1-30.

YU Jianwu, LUO Hong, HU Junzhi, et al. Reconstruction of high-speed cam curve based on high-order differential interpolation and shape adjustment [J]. Applied Mathematics and Computation, 2019, 356: 272-281.

LU Lizheng, ZHAO Shiqing. High-quality point sampling for B-spline fitting of parametric curves with feature recognition [J]. Journal of Computational and Applied Mathematics, 2019, 345: 286-294.

PEI S C, HORNG J H. Circular arc detection based on Hough transform [J]. Pattern Recognition Letters, 1995, 16(6): 615-625.

贺文骅, 刘志镜, 屈鉴铭. 利用全局约束霍夫模型的目标跟踪算法 [J]. 西安交通大学学报, 2014, 48(12): 69-73.

HE Wenhua, LIU Zhijing, QU Jianming. A visual tracking method based on global constrained Hough model [J]. Journal of Xi'an Jiaotong University, 2014, 48(12): 69-73.

ROTH G, LEVINE M D. Geometric primitive extraction using a genetic algorithm [J]. IEEE Transactions on Pattern Analysis and Machine Intelligence, 1994, 16(9): 901-905.

胥光申, 高晓丁, 许卫星. 摆动平底从动件凸轮廓线曲率半径计算的新方法 [J]. 机械科学与技术, 2002, 21(2): 204-206.

XU Guangshen, GAO Xiaoding, XU Weixing. A new method for computing the radius of curvature of a cam profile with oscillating flat-faced follower [J]. Mechanical Science and Technology, 2002, 21(2): 204-206.

TIRANDAZ H, NASRABADI A, HADDADNIA J. Curve matching and character recognition by using B-spline curves [J]. International Journal of Engineering and Technology, 2011, 3(2): 183-186.

GÁLVEZ A, IGLESIAS A. Memetic improved cuckoo search algorithm for automatic B-spline border approximation of cutaneous melanoma from macroscopic medical images [J]. Advanced Engineering Informatics, 2020, 43: 101005.

LIU Feng, ZHANG D, SHEN Linlin. Study on novel curvature features for 3D fingerprint recognition [J]. Neurocomputing, 2015, 168: 599-608.

国家质量监督检验检疫总局. 测量不确定度评定与表示: JJF1059.1—2012 [S]. 北京: 中国质检出版社, 2013.

国家质量监督检验检疫总局. 用蒙特卡洛法评定测量不确定度: JJF1059.2—2012 [S]. 北京: 中国质检出版社, 2013.

ALEXANDRU M B. Fitting data using optimal Hermite type cubic interpolating splines [J]. Applied Mathematics Letters, 2012, 25: 2047-2051.

WEI Jinwen. The dimensionality reduction of feature vectors by generalized cross product [C]∥2008 International Symposium on Computer Science and Computational Technology. Piscataway, NJ, USA: IEEE, 2008: 281-284.

傅欢, 梁力, 王飞, 等. 采用局部凸性和八又树的点云分割算法 [J]. 西安交通大学学报, 2012, 46(10): 60-65.

FU Huan, LIANG Li, WANG Fei, et al. A point cloud segmentation algorithm using local convexity and octree [J]. Journal of Xi'an Jiaotong University, 2012, 46(10): 60-65.

韦进文. 坐标测量机动力学刚度估计与加速度误差补偿 [J]. 西安交通大学学报, 2009, 43(1): 47-51.

WEI Jinwen. Estimating dynamic stiffness of coordinate measuring machine for compensation of acceleration error [J]. Journal of Xi'an Jiaotong University, 2009, 43(1): 47-51.

BLIDIA A, MOURRAIN B. Geometrically smooth spline bases for data fitting and simulation [J]. Computer Aided Geometric Design, 2020, 78: 101814.

刘鼎元, 胡康生. Bézier曲面拟合 [J]. 应用数学学报, 1984, 7(2): 250-256.

LIU Dingyuan, HU Kangsheng. Fitting of Bézier surfaces [J]. Acta Mathematicae Applicatae Sinica, 1984, 7(2): 250-256.

浏览量

下载量

CSCD

文章被引用时，请邮件提醒。

提交

工具集

关联资源

真空中绝缘子闪络前表面电荷分布的二维仿真

计算输电线路绕击跳闸率的新模型

跃移沙粒运动参数的数字图像分析

三塔合一间接空冷系统结构参数对夏季运行特性的影响研究

超临界二氧化碳向心透平轮背间隙内风阻损失及流动特性研究