| 曲线光滑性的仿射不变性 |
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| 引用本文： | 杨戈.曲线光滑性的仿射不变性[J].河北工业大学成人教育学院学报,2008,23(2):18-20. |
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| 作者姓名： | 杨戈 |
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| 作者单位： | 河北工业大学机械学院,天津,300130 |
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| 摘 要： | 曲线上每一点只有一个曲率称之为光滑曲线.光滑曲线经仿射变换是否还光滑,所见论著中均未阐明.本文证明光滑曲线经仿射变换后仍光滑,即曲线的光滑性是仿射不变性.
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| 关 键 词： | 光滑曲线 曲率 仿射变换 透视仿射变换 |
The Smooth Character of Curves is One of the Unchangeable Properties of Affine Transformation |
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| Yang Ge.The Smooth Character of Curves is One of the Unchangeable Properties of Affine Transformation[J].Journal of Adult Education School of Hebei University of Technology,2008,23(2):18-20. |
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| Authors: | Yang Ge |
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| Abstract: | If there is only one curvature in each point of a curve,it is called a smooth curve.Whether a smooth is smooth or not after the affine transformation has not been expounded in the published papers.This paper is to prove that a smooth curve is still smooth after the affine transformation,this is,the smooth character of curves is one of the unchangeable properties of affine transformation. |
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| Keywords: | smooth curve curvature affine transformation affine ratio perspectively affine transformation |
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