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Optimising the number and position of the measuring points on a plane curve using an algorithm for comparing the angle between the normal directions

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Abstract

The purpose of this study is to investigate the determination of the number and location of measuring points for a plane curve using a coordinate measuring machine in order to reduce the time taken to measure the curve. The study begins by establishing the data points for a plane curve on the design blueprint, and then proposes an algorithm for comparing the angle between the two normal directions. The angle can be used in conjunction with the preset allowance distance error value to determine which positions of the measuring points are better, and to reduce the number of measuring points. A cubic spline curve is adopted as the measuring curve so that all derived points fall on the cubic spline to meet the requirement of integrating real measuring and the computer-aided drafting.

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Authors and Affiliations

  1. Department of Mechanical Engineering, National Taiwan Institute of Technology, 42 Keelung Road, Section 4, 10772, Taipei, Taiwan

    Zone-ching Lin & C. S. Deng

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  1. Zone-ching Lin
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  2. C. S. Deng
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Lin, Zc., Deng, C.S. Optimising the number and position of the measuring points on a plane curve using an algorithm for comparing the angle between the normal directions. Int J Adv Manuf Technol 12, 103–110 (1996). https://doi.org/10.1007/BF01178950

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  • DOI: https://doi.org/10.1007/BF01178950

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