Abstract
This article has conducted deep research to the subdivision curve parametrization scheme of the literature [1]. It first uses 4-point interpolatory subdivision scheme to carry on k times subdivision to the initial control polygon \( \{ P_{i}^{0} \}_{i = 0}^{n} \) of subdivision curve parametrization scheme, after calculates the parameter value of these sampled point, then makes a comprehensive numerical comparison between the subdivision curve parametrization and the chordal parametrization which has been considered the best parametrization method with Parametric cubic spline interpolation scheme.
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Acknowledgements
This work was financially supported by the National Natural Science Foundation of China (61163034, 61373067), the Grassland Excellent Talents Project of Inner Mongolia Autonomous Region (2013), the supported By Program for Young Talents of Science and Technology in Universities of Inner Mongolia Autonomous Region (NJYT-14-A09), the Inner Mongolia Natural Science Foundation (2013MS0911), the 321 Talents Project the two level of Inner Mongolia Autonomous Region (2010), the Inner Mongolia talent development fund (2011), Scientific research project of the Inner Mongolia Autonomous Region higher education reform (2015NMJG036), the Scientific Research Foundation of Inner Mongolia University For Nationalities (NMDYB1453), the Scientific Research Foundation of Inner Mongolia University For Nationalities (NMD1231), and the Scientific Research Foundation of Inner Mongolia University For Nationalities (NMDYB1757).
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Zhang, Z. et al. (2019). Numerical Comparison of Two Main Parametric Methods in Curve Approximation. In: Sugumaran, V., Xu, Z., P., S., Zhou, H. (eds) Application of Intelligent Systems in Multi-modal Information Analytics. MMIA 2019. Advances in Intelligent Systems and Computing, vol 929. Springer, Cham. https://doi.org/10.1007/978-3-030-15740-1_35
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DOI: https://doi.org/10.1007/978-3-030-15740-1_35
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