Abstract
This paper considers geometric error control in the parabola-blending linear interpolation method (Zhang, et al., 2011). Classical model of chord error by approximation with contact circle on the parabolas leads to incorrect result. By computing the geometric error directly without accumulating the approximation error and chord error, the authors realize correct geometric error control by establishing inequality constraints on the accelerations of the motion.
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This paper is supported partially by the National Natural Science Foundation of China under Grant Nos. 10871195 and 60821002/F02, and National Center for Mathematics and Interdisciplinary Sciences of Chinese Academy of Sciences.
This paper was recommended for publication by Guest Editor SHPITALNI Moshe.
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Li, H., Zhang, L. Geometric error control in the parabola-blending linear interpolator. J Syst Sci Complex 26, 777–798 (2013). https://doi.org/10.1007/s11424-013-3178-y
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DOI: https://doi.org/10.1007/s11424-013-3178-y