Fiducial-Aided Robust Positioning of Optical Freeform Surfaces

Form characterization of a machined optical freeform surface demands accurate alignment of the sampled measured data points on the machined surface, and they are compared with the designed geometry of the surface through positioning. In this paper, a fiducial-aided robust positioning method (FAPM) i...

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Main Authors: Shixiang Wang, Chi Fai Cheung, Mingjun Ren, Mingyu Liu
Format: Article
Language:English
Published: MDPI AG 2018-01-01
Series:Micromachines
Subjects:
Online Access:http://www.mdpi.com/2072-666X/9/2/52
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author Shixiang Wang
Chi Fai Cheung
Mingjun Ren
Mingyu Liu
author_facet Shixiang Wang
Chi Fai Cheung
Mingjun Ren
Mingyu Liu
author_sort Shixiang Wang
collection DOAJ
description Form characterization of a machined optical freeform surface demands accurate alignment of the sampled measured data points on the machined surface, and they are compared with the designed geometry of the surface through positioning. In this paper, a fiducial-aided robust positioning method (FAPM) is developed which attempts to evaluate freeform surfaces with high efficiency and precision. The FAPM method makes use of fiducials as reference datum to form a fiducial-aided computer-aided design (FA-CAD) of the freeform surface which not only establishes an inherent surface feature, but also links the different coordinate systems among design coordinate frame, machine tool, and measurement instrument. To verify the capability of the proposed method, a series of experiments were conducted. Compared with the traditional freeform measurement method (e.g., least squares method), the results indicate that the robustness and accuracy of the measurement is significantly enhanced by the FAPM.
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spelling doaj.art-7edfa889c7c140f6804dc27d04ce2a202022-12-22T00:32:27ZengMDPI AGMicromachines2072-666X2018-01-01925210.3390/mi9020052mi9020052Fiducial-Aided Robust Positioning of Optical Freeform SurfacesShixiang Wang0Chi Fai Cheung1Mingjun Ren2Mingyu Liu3Parnter State Key Laboratory of Ultra-Precision Machining Technology, Department of Industrial and Systems Engineering, The Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong, ChinaParnter State Key Laboratory of Ultra-Precision Machining Technology, Department of Industrial and Systems Engineering, The Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong, ChinaParnter State Key Laboratory of Ultra-Precision Machining Technology, Department of Industrial and Systems Engineering, The Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong, ChinaParnter State Key Laboratory of Ultra-Precision Machining Technology, Department of Industrial and Systems Engineering, The Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong, ChinaForm characterization of a machined optical freeform surface demands accurate alignment of the sampled measured data points on the machined surface, and they are compared with the designed geometry of the surface through positioning. In this paper, a fiducial-aided robust positioning method (FAPM) is developed which attempts to evaluate freeform surfaces with high efficiency and precision. The FAPM method makes use of fiducials as reference datum to form a fiducial-aided computer-aided design (FA-CAD) of the freeform surface which not only establishes an inherent surface feature, but also links the different coordinate systems among design coordinate frame, machine tool, and measurement instrument. To verify the capability of the proposed method, a series of experiments were conducted. Compared with the traditional freeform measurement method (e.g., least squares method), the results indicate that the robustness and accuracy of the measurement is significantly enhanced by the FAPM.http://www.mdpi.com/2072-666X/9/2/52fiducialspositioningfreeform surfaceprecision metrologyrobustness
spellingShingle Shixiang Wang
Chi Fai Cheung
Mingjun Ren
Mingyu Liu
Fiducial-Aided Robust Positioning of Optical Freeform Surfaces
Micromachines
fiducials
positioning
freeform surface
precision metrology
robustness
title Fiducial-Aided Robust Positioning of Optical Freeform Surfaces
title_full Fiducial-Aided Robust Positioning of Optical Freeform Surfaces
title_fullStr Fiducial-Aided Robust Positioning of Optical Freeform Surfaces
title_full_unstemmed Fiducial-Aided Robust Positioning of Optical Freeform Surfaces
title_short Fiducial-Aided Robust Positioning of Optical Freeform Surfaces
title_sort fiducial aided robust positioning of optical freeform surfaces
topic fiducials
positioning
freeform surface
precision metrology
robustness
url http://www.mdpi.com/2072-666X/9/2/52
work_keys_str_mv AT shixiangwang fiducialaidedrobustpositioningofopticalfreeformsurfaces
AT chifaicheung fiducialaidedrobustpositioningofopticalfreeformsurfaces
AT mingjunren fiducialaidedrobustpositioningofopticalfreeformsurfaces
AT mingyuliu fiducialaidedrobustpositioningofopticalfreeformsurfaces