Computer Engineering and Applications ›› 2011, Vol. 47 ›› Issue (9): 167-170.
• 图形、图像、模式识别 • Previous Articles Next Articles
HU Meigui,ZHENG Hongchan,XU Ting,XU Feng
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胡玫瑰,郑红婵,许 婷,徐 丰
Abstract: Using the necessary and sufficient conditions for Ck-continuity of stationary subdivision schemes,the ranges of free parameter are analyzed for Ck-continuity of general arity-3 approximating 3-point scheme and arity-3 approximating 4-point subdivision scheme.Using this paper’s methods,smooth approximating curve can be generated;when some parameters take particular values,smooth interpolating curve can also be generated.In addition,in order to use easily,Hassan’s methods are improved by introducing a global tension parameter,which makes it much easier to control the shape of the curve.The new methods can be used to generate a family of C1,C2 limit curves in certain range of global tension parameter.
Key words: subdivision, approximating scheme, mask, convergence, continuity analysis
摘要:
提出了一般的三点三重、四点三重逼近细分格式,利用稳定细分格式Ck连续的充要条件,分析了细分法各阶连续时参数的取值范围。利用提出的一般细分法,可以造型光滑逼近曲线;当某些细分参数取特殊值时,还可以用来造型插值曲线。为便于应用,还对Hassan的3点ternary逼近细分法进行了改进,使其带有一个全局张力参数,通过它更易控制曲线的形状。在全局张力参数的一定范围内可以生成C1,C2连续的极限曲线。
关键词: 细分, 逼近格式, mask, 一致收敛性, 连续性分析
HU Meigui,ZHENG Hongchan,XU Ting,XU Feng. Continuity analysis and construction of ternary stationary approximating subdivision schemes[J]. Computer Engineering and Applications, 2011, 47(9): 167-170.
胡玫瑰,郑红婵,许 婷,徐 丰. 静态ternary逼近细分格式的连续性分析和构造[J]. 计算机工程与应用, 2011, 47(9): 167-170.
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http://cea.ceaj.org/EN/Y2011/V47/I9/167