【摘要】 研究一类具有张力性质的三次样条曲线的可加细问题,得到了其M-尺度加细方程,所得结论涵盖了以往2-尺度加细的结果,并进一步讨论了M-尺度加细层张力参数的求解、选取不同节点时细分面具的计算等问题,得到了相应的细分规则.介绍了3-尺度细分的计算过程,并通过实例说明了其逼近优势.更多还原

【Abstract】 The refinability of a kind of cubic parametric spline curves with tension properties was studied and their M-band refinement equations were obtained,which contain the existing 2-band case,and furthermore,the computation of refiner tension parameters and subdivision masks with different knots were discussed,and the subdivision rules were gained. The computation procedure of 3-band subdivision was introduced in detail and numerical examples were given to illustrate the advantages of approximation.更多还原