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基于伸缩因子的代数曲线曲面变形方法
引用本文:李军成.基于伸缩因子的代数曲线曲面变形方法[J].计算机工程与科学,2016,38(6):1225-1230.
作者姓名:李军成
作者单位:;1.湖南人文科技学院数学系
基金项目:湖南省自然科学基金(13JJ6081);湖南省教育厅资助科研项目(14B099)
摘    要:提出了一种基于伸缩因子的代数曲线曲面变形方法。首先构造了一种用于代数曲线曲面变形的伸缩因子,然后将所构造的伸缩因子分别作用于待变形的代数曲线与曲面,通过改变伸缩因子各参数的取值实现对代数曲线曲面的变形。实例表明,该方法操作方便,易于控制,可获得丰富的变形效果,是一种简单有效的代数曲线曲面变形方法。

关 键 词:代数曲线曲面  变形  伸缩因子
收稿时间:2015-03-31
修稿时间:2016-06-25

A method of algebraic curve and surface deformations based on extension factors
LI Jun cheng.A method of algebraic curve and surface deformations based on extension factors[J].Computer Engineering & Science,2016,38(6):1225-1230.
Authors:LI Jun cheng
Affiliation:(Department of Mathematics,Hunan University of Humanities,Science and Technology,Loudi 417000,China)
Abstract:We present a method of algebraic curve and surface deformations based on extension factor. We first construct the extension factors for algebraic curve and surface deformations, which then act on the algebraic curves and surfaces to be deformed. Deformation on the algebraic curves and surfaces can be realized by changing the values of the extension factors. Examples show that the proposed method is convenient to operate, easy to control and achieves rich deformation effect, which is therefore a simple and effective method for algebraic curve and surface deformations.
Keywords:algebraic curves and surfaces  deformation  extension factor  
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