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单变量均匀静态细分格式的连续性分析和构造
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Supported by the National Natural Science Foundation of China under Grant Nos.10201030,60473132(国家自然科学基金);the National Grand Fundamental Research 973 Program of China under Grant No.2004CB318000(国家重点基础研究发展计划(973));the National Science Fundfor Distinguished Young Scholars of China under Grant No.60225002(国家杰出青年科学基金);the Teaching and Research Award Program for Outstanding Young Teachersin Higher EducationInstitutions of the MOE(教育部高校优秀青年教师教学科研奖励计划)


Continuity Analysis and Construction of Uniform Stationary Univariate Subdivision Schemes
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    摘要:

    利用单变量均匀稳定细分格式Ck连续的充要条件,分析了已有的插值曲线格式各阶连续时参数的取值范围.首次指出了六点二重插值格式可以达到C3连续,并构造了一种新的C3连续的六点三重插值细分格式.

    Abstract:

    With the necessary and sufficient conditions for Ck-continuity of uniform stationary subdivision schemes, the range of free parameter in several classical interpolating curve schemes is presented. For the first time, this paper points out that the arity-2 interpolating 6-point scheme is C3-continuous in certain range. A new C3-continuous arity-3 interpolating 6-point scheme is also proposed.

    参考文献
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    [6]Hassan MF,Dodgson NA.Ternary and three-point univariate subdivision schemes.In:Cohen A,Merrien JL,Schumaker LL,eds.Curve and Surface Fitting:Saint-Malo 2002.Brentwood:Nashboro Press,2003.199-208.
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    [12]Ivrissimitzis IP,Dodgson NA,Hassan MF,Sabin MA.On the geometry of recursive subdivision.Int'l Journal of Shape Modeling,2002,8(1):23-42.
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黄章进.单变量均匀静态细分格式的连续性分析和构造.软件学报,2006,17(3):559-567

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  • 收稿日期:2005-04-13
  • 最后修改日期:2005-08-25
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