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An intelligent sampling method for inspecting free-form surfaces

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Abstract

The two most important factors in sampling during coordinate verification of a surface are the number of measuring points that accurately represent the surface and the distribution of those points. Three algorithms are developed in this paper for sampling of free-form surfaces at a patch scale (not the entire surface). The three developed algorithms take each patch on the surface as a separate unit and distribute the points within the patch in two steps, namely, sample the most critical points that depend on maximum and minimum Gaussian curvature of each patch and add more points depending on the overall distribution of the most critical points distributed on the surface. In each step of sampling, the maximum difference between the CAD model and the surface created using those sampled points is obtained, and an optimum number of measuring points is determined. This minimizes sampling effort and (non-value-added) measurement time. A comparison is performed between the three proposed algorithms and two well known sampling techniques: the equiparametric approach and the patch-size-based sampling method. The proposed algorithms distribute the points in each patch based on a specific plan. The results show that the developed algorithms help select an efficient number of sampling points.

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References

  1. Kim W, Raman S (2000) On the selection of flatness measurement points in coordinate measuring machine inspection. Int J Mach Tool Manu 40(3):427–443

    Article  Google Scholar 

  2. Lim EE, Menq C-H (1995) The prediction of dimensional error for sculptured surface productions using the ball-end milling process, part 2: surface generation model and experimental verification. Int J Mach Tool Manu 35(8):1171–1185

    Article  Google Scholar 

  3. Zhang Y, Nee A, Fuh J, Neo K, Loy H (1996) A neural network approach to determining optimal inspection sampling size for CMM. Comp Integ Manuf Sys 9(3):161–169

    Article  MATH  Google Scholar 

  4. Cochran W (1977) Sampling techniques, 3rd edn. Wiley, New York

    MATH  Google Scholar 

  5. Badar M, Raman S, Pulat P (2005) Experimental verification of manufacturing error pattern and its utilization in form tolerance sampling. Int J Mach Tool Manu 45:63–73

    Article  Google Scholar 

  6. Badar M, Raman S, Pulat P, Shehab R (2005) Experimental analysis of search-based selected of sample points for straightness and flatness estimation. J Manuf Sci E T ASME 127:96–103

    Article  Google Scholar 

  7. Badar M, Raman S, Pulat P (2003) Intelligent search-based selection of sample points for straightness and flatness estimation. J Manuf Sci E T ASME 125(2):263–271

    Article  Google Scholar 

  8. Namboothiri V, Shunmugam M (1999) On determination of sample size in form error evaluation using coordinate metrology. Int J Prod Res 37(4):793–804

    Article  MATH  Google Scholar 

  9. Yau H-T, Menq C-H (1992) Automated dimensional inspection environment for manufactured parts using CMMs. Int J Prod Res 30:1517–1536

    Article  Google Scholar 

  10. Woo T, Liang R, Hsieh C-C, Lee N (1995) Efficient sampling for surface measurements. J Manuf Sys 14(5):345–354

    Article  Google Scholar 

  11. Woo TC, Liang R (1993) Dimensional measurement of surfaces and their sampling. Comput Aided Des 25(4):233–239

    Article  Google Scholar 

  12. Uppliappan B, Raja J, Hocken R, Chen K (1997) Sampling methods and substitute geometry algorithms for measuring cylinders in coordinate measuring machine. Trans NAMRI/SME XXV:353–358

    Google Scholar 

  13. Cho M, Kim K (1995) New inspection planning strategy for sculptured surfaces using coordinate measuring machine. Int J Prod Res 33(2):427–444

    Article  MATH  Google Scholar 

  14. Pahk H, Jung M, Hwang S, Kim Y, Hong Y, Kim S (1995) Integrated precision inspection system for manufacturing of moulds having CAD defined features. Int J Adv Manuf Technol 10(3):198–207

    Article  Google Scholar 

  15. Fan K-C, Leu M (1998) Intelligent planning of CAD-directed inspection for coordinate measuring machines. Comp-Integ Manuf Sys 11(1–2):43–51

    Article  Google Scholar 

  16. Lee G, Mou J, Shen Y (1997) Sampling strategy design for dimensional measurement of geometric features using coordinate measuring machine. Int J Mach Tools Manuf 37(7):917–934

    Article  Google Scholar 

  17. Cho M-W, Lee H, Yoon GS, Choi J (2005) A feature-based inspection planning system for coordinate measuring machines. Int J Adv Manu Technol 26:1078–1087

    Article  Google Scholar 

  18. Elkott DF, Veldhuis SC (2007) CAD-based sampling foe CMM inspection of models with sculptured features. Eng Comput 23:187–206

    Article  Google Scholar 

  19. Ramaswami H, Modi A, Sam A (2007) A design advisor for the optimal inspection of circularity tolerance. Int J Adv Manuf Technol 31:857–870

    Article  Google Scholar 

  20. Elkott D, Elmaraghy H, Elmaraghy W (2002) Automatic sampling for CMM inspection planning of free-form surfaces. Int J Prod Res 40(11):2653–2676

    Article  MATH  Google Scholar 

  21. Elkott D (2001) Automatic sampling for CMM inspection planning of free-form surfaces. MS Thesis, University of Windsor, Windsor, Ontario, Canada

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Authors and Affiliations

  1. University of Oklahoma, 202 W. Boyd, Suite 124, CEC, Norman, OK, 73019, USA

    Suleiman M. Obeidat & Shivakumar Raman

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  1. Suleiman M. Obeidat
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  2. Shivakumar Raman
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Correspondence to Shivakumar Raman.

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Obeidat, S.M., Raman, S. An intelligent sampling method for inspecting free-form surfaces. Int J Adv Manuf Technol 40, 1125–1136 (2009). https://doi.org/10.1007/s00170-008-1427-3

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  • DOI: https://doi.org/10.1007/s00170-008-1427-3

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