Accurate evaluation of free-form surface profile error based on quasi particle swarm optimization algorithm and surface subdivision

2013 ◽  
Vol 26 (2) ◽  
pp. 406-413 ◽  
Author(s):  
Xiulan Wen ◽  
Yibing Zhao ◽  
Dongxia Wang ◽  
Xiaochu Zhu ◽  
Xiaoqiang Xue
Keyword(s):  
Particle Swarm Optimization Algorithm ◽  
Surface Profile ◽  
Free Form ◽  
Profile Error ◽  
Swarm Optimization ◽  
Quasi Particle ◽  
Accurate Evaluation ◽  
Surface Subdivision ◽  
Free Form Surface ◽  
Quasi Particle Swarm Optimization

Research on the Profile Error Evaluation and Visualization of Free-Form Surface

2010 ◽  
Vol 43 ◽  
pp. 560-564 ◽  
Author(s):  
Na Su ◽  
Hui Guo
Keyword(s):  
Minimum Distance ◽  
Practical Significance ◽  
Free Form ◽  
Geometric Feature ◽  
Error Evaluation ◽  
Profile Error ◽  
Swarm Optimization ◽  
B Spline ◽  
Free Form Surface ◽  
The Mathematical Model

To solve the problem of evaluating profile error of surface, theoretical surface was built by interpolating design points at the method of bicubic Non-Uniform Rational B-Spline(NURBS). Measuring points were gained by laser measurement, and the mathematical model was built for computing the error. The particle swarm optimization (PSO) was applied to compute the minimum distance from measuring points to design surface, which can evaluate profile error of surface accurately. At the same time, MATLAB software was used to realize visualization of profile error evaluation of free-form surface. Experiments show that the proposed optimization can obtain precise result, the method is feasible, visualization makes geometric feature observed more intuitive and there is important practical significance.

Sampling Strategy for Free-Form Surface Inspection Using Coordinate Measuring Machines

2014 ◽  
Vol 532 ◽  
pp. 106-112 ◽  
Author(s):  
Xiu Lan Wen ◽  
Dong Xia Wang ◽  
Li Fang ◽  
Yi Bing Zhao
Keyword(s):  
Rotational Symmetry ◽  
Sampling Strategy ◽  
Free Form ◽  
Sampling Strategies ◽  
Inspection Method ◽  
Sampling Sequence ◽  
Surface Subdivision ◽  
Free Form Surface ◽  
Quasi Particle Swarm Optimization ◽  
Profile Errors

Due to the complexity and non-rotational symmetry of free-form surface, it is difficult to achieve accurate and efficient inspection method. In order to solve this problem, three types of sampling sequences are proposed to specify a set of measuring points of free-form surface. For comparing the results of different sampling strategies, the profile errors of free-form surface are calculated based on a quasi particle swarm optimization (QPSO) searching the transformation parameters to implement localization and surface subdivision method finding the closest points on the design model corresponding to measured points. In order to obtain effective sampling strategies, four design models are generated by non-uniform rational basis spline (NURBS) and parts are manufactured on two machining centers to obtain surfaces of different roughness and measured on CMMs by selecting different sampling methods and sample sizes. The profile errors of parts are calculated by the proposed method and CMMs software, respectively. The results show that randomized Hammersley sampling sequence and medium sample size are preferred for the profile error inspection of given parts if accuracy and time are all considered. The research provides a method for free-form surface accurate inspection while minimizing the sampling time and cost.

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