| 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. |
| 关键词: 细分 插值格式 连续性分析 |
| DOI： |
| 分类号: |
| 基金项目: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) |
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| Continuity Analysis and Construction of Uniform Stationary Univariate Subdivision Schemes |
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HUANG Zhang-Jin
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| 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. |
| Key words: subdivision interpolating scheme continuity analysis |
