具有张力性质三次参数样条曲线的M-尺度细分  

M-Band Subdivision of Cubic Parametric Splines with Tension Properties

作　　者：韩力文[1] 张婷婷[1] 解滨[1,2] 

机构地区：[1]河北师范大学数学与信息科学学院,石家庄050016 [2]河北师范大学信息技术学院,石家庄050016

出　　处：《吉林大学学报（理学版）》2010年第6期907-913,共7页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:60773174);河北省自然科学基金(批准号:F2009000316)

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.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.

关 键 词：加细方程 节点插入 M-尺度 参数样条 张力性质 

分 类 号：O241.5[理学—计算数学]