OPTIMIZING THE NUMBER AND POSITION OF THE MEASURING POINTS ON A PLANECURVE USING AN ALGORITHM FOR COMPARING THE ANGLE BETWEEN THE NORMAL DIRECTIONS

The purpose of this study is to investigate the determination of the n umber and location of measuring points for a plane curve using a coord inate measuring machine in order to reduce the time taken to measure t he curve. The study begins by establishing the data points for a plane curve on the design blueprint, and then proposes an algorithm for com paring the angle between the two normal directions. The angle can be u sed in conjunction with the preset allowance distance error value to d etermine which positions of the measuring points are better, and to re duce the number of measuring points A cubic spline curve is adopted as the measuring curve so that all derived points fall on the cubic spli ne to meet the requirement of integrating real measuring and the compu ter-aided drafting.