杨军, 赵桔焓. 一类形状可调球面样条插值[J]. 南昌航空大学学报(自然科学版), 2016, 30(1): 22-27,46. DOI: 10.3969/j.issn.1001-4926.2016.01.004
引用本文: 杨军, 赵桔焓. 一类形状可调球面样条插值[J]. 南昌航空大学学报(自然科学版), 2016, 30(1): 22-27,46. DOI: 10.3969/j.issn.1001-4926.2016.01.004
YANG Jun, ZHAO Ju-han. An Adjustable Spherical Spline Interpolation with Shape Parameters[J]. Journal of nanchang hangkong university(Natural science edition), 2016, 30(1): 22-27,46. DOI: 10.3969/j.issn.1001-4926.2016.01.004
Citation: YANG Jun, ZHAO Ju-han. An Adjustable Spherical Spline Interpolation with Shape Parameters[J]. Journal of nanchang hangkong university(Natural science edition), 2016, 30(1): 22-27,46. DOI: 10.3969/j.issn.1001-4926.2016.01.004

一类形状可调球面样条插值

An Adjustable Spherical Spline Interpolation with Shape Parameters

  • 摘要: 将一类R3中的形状可调Bezier曲线推广到单位球面S3上。利用广义Bernstein基函数及四元数给出构造一类含3个参数的形状可调球面Bezier曲线的求值算法;研究了G1曲线间光滑拼接的条件,并将其应用于构造形状可调的插值样条曲线。数值实验结果显示了改变参数对曲线形状的具体影响。计算结果表明所提出的算法是有效的。

     

    Abstract: A class of Bezier curves with shape parameters in R3 is generalized to the unitsphere S3. Anevaluation algorithm of the curve is given and the smooth joining conditions between two curves are considered in terms of quaternions and the generalized Bernstein basis functions.Then an adjustable spherical spline interpolation method is presented as an application. Specific impact of changing parameters on the shape of the curve is illustrated in the numerical experiments results.The results show that the proposed method is effective.

     

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