scholarly journals Corrigendum to “A new scanning lines distribution strategy for the form error evaluation of freeform surface on CMM” [Measurement 181 (2021) 109578]

Measurement ◽  
2021 ◽  
pp. 110349
Author(s):  
Yicun Sang ◽  
Yichen Yan ◽  
Chenglin Yao ◽  
Gaiyun He
2004 ◽  
Vol 126 (3) ◽  
pp. 535-541 ◽  
Author(s):  
Xiangyang Zhu ◽  
Han Ding ◽  
Michael Y. Wang

This paper establishes the equivalence between the solution to a linear Chebyshev approximation problem and that of a weighted least squares (WLS) problem with the weighting parameters being appropriately defined. On this basis, we present an algorithm for form error evaluation of geometric features. The algorithm is implemented as an iterative procedure. At each iteration, a WLS problem is solved and the weighting parameters are updated. The proposed algorithm is of general-purpose, it can be used to evaluate the exact minimum zone error of various geometric features including flatness, circularity, sphericity, cylindericity and spatial straightness. Numerical examples are presented to show the effectiveness and efficiency of the algorithm.


2007 ◽  
Vol 18 (7) ◽  
pp. 1818-1822 ◽  
Author(s):  
Changcai Cui ◽  
Bing Li ◽  
Fugui Huang ◽  
Rencheng Zhang

2017 ◽  
Vol 16 (03) ◽  
pp. 205-226 ◽  
Author(s):  
Vimal Kumar Pathak ◽  
Amit Kumar Singh

Form error evaluation of manufactured parts is one of the crucial aspects of precision coordinate metrology. With the advent of technology, the noncontact data acquisition techniques are replacing the conventional machines like coordinate measuring machine (CMM). This paper presents an optimization technique to evaluate minimum zone form errors, namely straightness, circularity, flatness and cylindricity using constriction factor-based particle swarm optimization (CFPSO) algorithm. Addition of constriction factor helps in accelerating the convergence property of CFPSO. Initially, a simple minimum zone objective function is formulated mathematically for each form error and then optimized using the proposed CFPSO. Primarily, the results of the proposed method for form error evaluation are compared with the literature results. Furthermore, the data obtained from noncontact 3D scanner is processed and the results of form error evaluation using CFPSO algorithm are compared with Steinbichler’s INSPECT PLUS software results. It was found that the results obtained using the proposed CFPSO algorithm are fast and better as compared with other evolutionary techniques like genetic algorithm (GA), previous literatures and software results. Furthermore, to ensure effectiveness of the proposed method statistical analysis ([Formula: see text]-test) was performed. CFPSO results for large dimension of problem show significant difference in computation time as compared with GA. The CFPSO algorithm provides 27.25%, 7.5% and 6.38% improvements in circularity, flatness and cylindricity, respectively, in comparison to RE software results, for determination of minimum zone error. Thus, the methodology presented helps in improving the accuracy and for speeding up of the automated inspection process generally performed by CMMs in industries.


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