带双参数的三次均匀B样条曲线  

Uniform B-Spline of Three Degree with Double Shape Parameters

作　　者：张成[1] 熊建[1] 

机构地区：[1]安徽审计职业学院基础部,安徽合肥230601

出　　处：《吉林师范大学学报（自然科学版）》2015年第2期69-72,78,共5页Journal of Jilin Normal University:Natural Science Edition

基　　金：安徽省高校省级优秀青年人才基金重点项目(2013SQRL113ZD);安徽省2013年省级质量工程项目(2013jyxm488;2013jxtd099);安徽省2014年省级质量工程项目(2014jyxm627)

摘　　要：给出了带双参数λ,μ的三次均匀B样条基函数,由其构造出的样条曲线具有B样条曲线类似的性质,且形状调整方便.其中参数λ控制整条曲线位置,参数μ对曲线作局部调整.实例表明构造的曲线是有效的,丰富了自由曲线曲面造型理论.The basis function of 3 degree uniform B-spline with double shape parameters was constructed. The curve based on the basis function has the similar properties with the 3 degree uniform B-spline curve. The shape of the curve was easily adjusted and could be adjusted totally by changing the value of shape parameterλ. When the value of shape parameterλwas unchanged,the shape of the curve could be adjusted locally by changing the value of shape parameter μ. Examples showed that the constructed curve is effective. It enriches the freedom curve and surface modeling theory.

关 键 词：双参数 三次均匀B样条 整体调整 局部调整 

分 类 号：O24[理学—计算数学] TP391[理学—数学]