| 重心坐标系下三次C样条奇拐点分析 |
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| 引用本文： | 柳翠.重心坐标系下三次C样条奇拐点分析[J].淮南师范学院学报,2014(3):6-7. |
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| 作者姓名： | 柳翠 |
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| 作者单位： | 淮南师范学院数学与计算科学系,安徽淮南232038 |
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| 摘 要： | 介绍三次C样条和重心坐标,同时给出重心坐标系下三次C样条的参数表示形式,利用仿射不变量来研究三次C样条奇拐点存在判别条件,并且对仿射不变量p的各种情况进行讨论,同时简化奇拐点判别条件。
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| 关 键 词： | C样条 奇点 拐点 重心坐标 |
The singularity and inflection points distribution of planar cubic C-spline in barycentric coordinate space |
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| LIU Cui.The singularity and inflection points distribution of planar cubic C-spline in barycentric coordinate space[J].Journal of Huainan Teachers College,2014(3):6-7. |
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| Authors: | LIU Cui |
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| Abstract: | This paper first introduces the concepts of cubic C-spline and barycentric coordinate space,and then gives the cubic C-spline parametric form in barycentric coordinate space. The affine invariant is introduced to find the sufficient and necessary discriminant of singularity and inflection points in the barycentric space. Every situations of affine invariant p is also discussed so that it can be easier to distinguish the singularity and inflection points. |
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| Keywords: | C-spline singularity point inflection point barycentric coordinate space |
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