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。
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.
出处
《河北工业大学成人教育学院学报》
2008年第2期18-20,共3页
Journal of Adult Education School of Hebei University of Technology
关键词
光滑曲线
曲率
仿射变换
透视仿射变换
smooth curve
curvature
affine transformation
affine ratio
perspectively affine transformation
